The political economy of paternalism
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Konrad, Kai A. Article — Published Version The political economy of paternalism Public Choice Provided in Cooperation with: Springer Nature Suggested Citation: Konrad, Kai A. (2024) : The political economy of paternalism, Public Choice, ISSN 1573-7101, Springer US, New York, NY, Vol. 201, Iss. 1, pp. 61-81, https://doi.org/10.1007/s11127-024-01168-y This Version is available at: https://hdl.handle.net/10419/315350 Standard-Nutzungsbedingungen: Die Dokumente auf EconStor dürfen zu eigenen wissenschaftlichen Zwecken und zum Privatgebrauch gespeichert und kopiert werden. Sie dürfen die Dokumente nicht für öffentliche oder kommerzielle Zwecke vervielfältigen, öffentlich ausstellen, öffentlich zugänglich machen, vertreiben oder anderweitig nutzen. Sofern die Verfasser die Dokumente unter Open-Content-Lizenzen (insbesondere CC-Lizenzen) zur Verfügung gestellt haben sollten, gelten abweichend von diesen Nutzungsbedingungen die in der dort genannten Lizenz gewährten Nutzungsrechte. Terms of use: Documents in EconStor may be saved and copied for your personal and scholarly purposes. You are not to copy documents for public or commercial purposes, to exhibit the documents publicly, to make them publicly available on the internet, or to distribute or otherwise use the documents in public. If the documents have been made available under an Open Content Licence (especially Creative Commons Licences), you may exercise further usage rights as specified in the indicated licence. http://creativecommons.org/licenses/by/4.0/
Vol.:(0123456789) Public Choice (2024) 201:61–81 https://doi.org/10.1007/s11127-024-01168-y The political economy ofpaternalism KaiA.Konrad1 Received: 11 August 2023 / Accepted: 21 March 2024 / Published online: 22 May 2024 © The Author(s) 2024 Abstract Some citizens place a high value on making decisions for themselves. Other citizens are happy to delegate decisions to a government agency. Such differences in political attitudes to paternalism can be explained in a strict rational-choice model with citizens’ heterogeneous tastes in the economic sphere. Citizens with more eccentric tastes and with high decision-making abilities tend to favor a libertarian regime. If majority preferences matter, heterogeneity in economic preferences and analytical abilities can also explain whether the political regime is more paternalist or more libertarian. As decision-making skills are a learnable capability, the strategic complementarity of individuals’ investments in analytical skills in the context of political regime outcomes suggests a feedback mechanism that can cause multiple expectations equilibria. Both a libertarian regime or a paternalist regime can emerge. Keywords Paternalism· Libertarianism· Autonomous decision-making· Majoritarian decisions· Decision skills· Formation of decision capabilities JEL Classification D18· D78· H11 1 Introduction Some citizens place a high value on making decisions for themselves. Others are happy to delegate decisions to a government agency.1 Such delegation of decision-making is a common phenomenon. Indeed, governments intervene to a considerable extent and regulate the approval and accessibility of medicines and drugs, regulate or prohibit dangerous behavior, enact many types of safety regulations, intervene in the market for health products, regulate the market for pension products, and regulate the trade in financial assets. The intensity and depth of such interventions varies between countries. Indices such as the Heritage Foundation’s Index of Economic Freedom, the Economic Freedom of the World Index (Cato Institute & Fraser Institute etal.) or the annual Freedom in the World report (Freedom House) * Kai A. Konrad [email protected] 1 Max Planck Institute forTax Law andPublic Finance, Marstallplatz 1, D-80539Munich, Germany 1 Substantial preference differences have been documented. For survey evidence see, e.g.,Pedersen etal. (2014); Konrad and Simon (2021), and Sainz Villalba (2023).
62 Public Choice (2024) 201:61–81 typically measure components of “freedom” that relate closely to freedom of personal/economic choice, and identify major differences between countries.2 The analysis here offers a theory for why individuals differ in their desire to delegate economic decisions on their private matters to the government, how this desire can form political regimes on how paternalist the government is, and how expectations about the future political regime can be self-fulfilling. Many choices in the economic sphere have multiple payoff components: Some payoff components are highly correlated among all citizens and some payoff components result from more idiosyncratic tastes.3 As it turns out, citizens with more eccentric economic tastes and with high decision-making abilities are more in favor of a libertarian government regime. If majority preferences matter for the policy regime outcome, the distribution of preferences on basic economic issues can therefore explain whether a country’s political regime is more paternalist or more libertarian. The general decision-making ability is itself a capability that can be learned at some cost at school and early in life (Heckmann & Corbin, 2016). Such analytical skills are more useful in a society that gives more scope for individual choices, and less useful in a more paternalist society. Expectations about the future political regime therefore affect citizens’ choices to invest in such skills. Furthermore, in a society in which majorities form the regime on how paternalist the government is, individuals’ capability-learning choices become strategic complements. This causes a feedback mechanism that can cause multiple expectations equilibria in the political regime choice between a more paternalist and a more libertarian regime. The existing literature offers several explanations for citizens’ attitudes toward paternalism. Mill (1859/2014) alludes to a possible information advantage of the citizen compared to the government, and is closest to the approach in this paper. Benz etal. (2004) and Benz and Frey (2008) suggest that citizens might intrinsically attribute value to the citizens’ procedural freedom to make their own decisions.4 An even earlier discussion of the intrinsic value of freedom of choice is by Sen (1988), who asks if, how, and to what extent such an intrinsic value could be embedded in a consequentialist framework by making it a “freedom-to-choose commodity.” Buchanan (2005) suggests that individuals might genuinely dislike taking responsibility as a reason for why some citizens would prefer to delegate decision-making to the government. The analysis here concentrates on one important governance aspect: the trade-off between two types of information asymmetries. Individual differences in preference can be given greater consideration in a libertarian world, as only the individuals know their specific preferences. The potential advantages of the government’s economies of scale in the risk assessment of economic decision alternatives are more likely to be exploited through state regulation. If these are the same for all citizens, the government must expend this 3 A generic example that will be used in this paper is pension choices. Regarding their old-age savings all citizens likely care about inflation, growth, and other return characteristics of savings instruments. But based on their different lifetime planning and intertemporal consumption tastes, individuals might differ in their choice of an optimal pension plan. Some citizens might have eccentric tastes, whereas others have moderate tastes, closer to the median of the population. And how well citizens can solve their optimization problems in old-age savings depends on more basic analytical skills developed earlier in life. 4 See also Bavetta etal. (2017) on how choosing oneself can, as a way of self-realization, contribute to happiness. 2 Berggren and Gutmann (2020) correlate personal freedom with measures of judicial independence, and the institutional design of political decision-making. They find stronger correlations of freedom with judicial independence and weaker correlations with “Democracy” as predictors of personal freedom.
63 Public Choice (2024) 201:61–81 cost only once, whereas a fully decentralized decision framework will have duplication of assessment costs and/or transaction costs of communication. Many other aspects are disregarded here. One important assumption is that a paternalist government is benevolent in the sense of the maximization of citizens’ utility. This assumption deliberately excludes many reasons why the libertarian regime might have advantages over a paternalistic government. Governments are notoriously susceptible to the influence of interest groups and can be captured by special interest groups (Olson, 1965) or power might be in the hands of elites (Engerman & Sokoloff, 2012). And individual politicians themselves may pursue ideological goals, or they may inaccurately or incorrectly determine the systematic payoff effect for other reasons.5 All of this may lead to other than purely benevolent decisions. Paternalism is often confounded with the government’s agenda to address the problems of externalities that economic choices might have for other citizens, or valuation differences between government agencies and private economic agents (see, for an analysis, Hillman (1980), and Besley (1988)). The analysis here does not rely on externalities or such motives. Also, an influential literature studies behavioral aspects, assuming that citizens make “systematic mistakes.”6 Disregarding these aspects, we consider a framework in which man is a fully rational agent when making own choices on own private matters: an agent who has complete or incomplete information, but correctly processes the available information, who can obtain better information at a cost, who appropriately weighs the costs and benefits of doing so, and who does not need to be protected from their own mental defects or systematic cognitive malfunctions. 2 The formal analysis 2.1 Players andtheir tastes Let there be an infinitely large set of players indexed by i. In the economic sphere citizens assess their own economic payoffs from two economic choice outcomes denoted A(lternative) and D(efault). These payoffs are determined by two payoff components that add to the total payoff: one is systematic across citizens and gives all citizens the same benefit of A over D. The second component captures an idiosyncratic benefit. For this component A may be better than D for some citizens and worse for others. Formally, the two benefits are described by two payoff-relevant variables x∈ [−1, 1] and yi∈ [−1, 1] : the citizen i’s systematic benefit x from A compared to D (same for all i), and citizen i’s idiosyncratic benefit yi from A compared to D (typically different between citizens). Note that benefits of A over D can also be negative. If A is chosen, this gives i a payoff of x+yi∈ [−2, +2] . If D is chosen, i’s payoff is zero (where the zero payoff from D is a normalization). For illustration, let us consider whether a citizen’s contributions to a funded retirement system are annuitized or paid out at the time of retirement. The relative advantageousness of the two alternatives depends, for example, on the inflation risk during the retirement 5 Hertwig and Ryall (2020) consider non-benevolent government in a framework of soft paternalism, and Ambuehl etal. (2021) focus on citizens’ preferences for the decision regime that applies for others: whether their fellow citizens should decide freely and individually or whether the state should decide for them. 6 A prominent example is Thaler and Sunstein (2003). For a selection of recent surveys see, e.g., Congiu and Moscati (2022); Cai (2020); Ledderer etal. (2020), and Blaga etal. (2018).
64 Public Choice (2024) 201:61–81 period – a risk that is similar for everyone, as measured by the x component. And the government may be more aware of this risk than the individual citizen. But different individual advantages and disadvantages yi of the two alternatives may result, for example, from citizens’ idiosyncratic preferences for their lifetime consumption profiles. It is useful to define two option values. First, nature draws a given frequency distribution F(y) of citizens’ idiosyncratic tastes, measured by the benefit yi of A compared to D.7 For this benefit yi , nature’s choice sorts all citizens along the line of possible values yi∈ [−1, 1] . To make the analysis easily tractable, let F be continuously differentiable, with F(−1)=0 , F(1)=1 and symmetric around y=0 , implying that F�(−y)=F�(y) and E(y)=0 . Further, denote the expected value of all positive yi as Second, the systematic payoff-relevant factor x is a draw from a given random distribution with the cumulative distribution function G(x) with support [−1, 1] . It describes the systematic benefit x from outcome A compared to D. This G(x) is known by all citizens. For tractability reasons G(x) is twice continuously differentiable, and is symmetric around x=0 , implying G�(x)=G�(−x) and E(x)=0 . We define the option value The interval [−1, 1] is just a normalization in relation to information costs that will be defined later. The setup is compatible with very different CDFs with very different dispersions. For instance, G(y) might have virtually no dispersion, with all mass around a small interval around zero together with F(x) having a very high dispersion, or even with positive mass only at intervals in the extreme ends of the distribution, or vice versa. 2.2 Sequence ofactions andoutcomes Stage 1: Each citizen i decides whether to acquire decision capabilities for later in life. This choice is denoted by 𝜔i∈{0, 1} . The choice of 𝜔i=0 means that i does not invest in such skills. Choice 𝜔i=1 implies a training cost e>0 and endows i with decision capabilities. The choice of 𝜔i determines the citizen’s later cost of learning the true value of x. Citizens make the capability choice early on in life. The functions F and G are common knowledge at that point of time, but neither the systematic x nor their own idiosyncratic values yi are known to the citizens when choosing 𝜔i . In a broader model, the cost e might be a governmental policy choice variable. For instance, the amount of public provision of schooling will affect this cost. We might also note that parents, social norms and their intergenerational transmission, etc., have some impact on this cost and the education decision.8 Individuals might also differ in their (1) �1 0 yiF�(yi)dyi ≡ V(F) . (2) V (G)= ∫1 0 xG�(x)dx . 8 For overviews of the demand-side and the supply-side of education, see, for instance, Checchi (2006). A review on the role/effectiveness of, for instance, youth financial education is by McCormick (2009). 7 This frequency distribution has well-defined proportions of citizen types in any given interval [ya,yb] . The assumption of a given frequency distribution of types is a common bypass for the measure-theoretic problems that standardly arise if yi were the realization of an iid-distributed random variable for each citizen i. For discussions see Judd (1985) and Uhlig (1996).
65 Public Choice (2024) 201:61–81 individual costs. We take the true cost of 𝜔=1 as a given here, because these other aspects are not our main concern. Stage 2: Citizens costlessly observe the value of their own idiosyncratic benefit yi ; i.e., they learn about their own degree of eccentricity. Citizens then vote on the political regime. Each citizen votes for either a libertarian regime or for a paternalist regime along the lines of median voter theory. Voting is costless, all citizens vote, and they vote sincerely.9 Let 𝜆 denote the share of citizens who vote for the libertarian regime and (1−𝜆) be the share of citizens who vote for the paternalist regime. The regime that reaches the larger share of votes is implemented. For 𝜆=1∕2 a fair coin drop decides. Simple majority voting (without logrolling, without abstention or strategic voting, without parties, etc.) is adopted here as “the” alternative to purely individual choice because of its analytical simplicity,and its role as a benchmark. Starting with the pioneering work by Downs (1957) and Buchanan and Tullock (1962), the theory of Public Choice has developed a great variety of models for decision-making by citizen voters and their aggregation. The role of majorities has a prominent role in many well-known variants of voting models, such that the theory developed here should be relevant also in these modifications, as long as political governance rules are decided on the basis of the distribution of voter preferences.10 , 11 Stage 3 – paternalist regime: If voting in stage 2 led to the paternalist regime, then the decision between A and D is made by ‘the state’: an automated decision mechanism. The decision mechanism knows the true value of the systematic benefit component x, and the frequency distribution F of idiosyncratic benefits yi , but not the individual idiosyncratic benefit yi of each and every citizen.12 Stage 3 – libertarian regime: If the majoritarian decision led to the libertarian regime, the citizens individually choose between A and D. Before making this decision, the individuals might use their capabilities and expend some cost of learning the true value of x. This cost depends on whether the citizen acquired decision capabilities in stage 1. This cost will be c0 for i if i did not develop decision capabilities (i.e., chose 𝜔i=0 ) and c1 otherwise (i.e., for 𝜔i=1 ), where c0>c1 . The following Fig.1 illustrates the game tree. Payoffs are functions of the capability formation cost implied by choosing 𝜔i , and the choice of whether to learn the true value of x, of the resulting information acquisition cost of ci=c(𝜔i)∈{c0,c1) , and of the final outcome A or D. Accordingly, the payoff of i with idiosyncratic benefit yi is 9 Given that each citizen has zero mass, strategic motives are not an issue here. Sherif (2022) shows in a recent survey that a diversity of motivations exist for why non-pivotal voters vote. 10 While a defining element of "Democracy" is "political freedom", it has been pointed out by Zakaria (1997) and Mukant and Rodrik (2020) that one needs to distinguish between democracy with personal and economic freedom and non-liberal democracy. Democracies differ with respect to personal and economic liberties (Berggren & Gutmann, 2020). 11 The paper is silent about the paternalism dimension in autocracies. As the discussion on the Hayek thesis by Knutsen (2016) suggests, the paternalism-libertarianism trade-off also emerges there, and similar mechanisms may apply there: what a country’s population finds desirable should also matter for an autocrat whose aim is to stay in power. 12 The assumption that the government knows x is based on a simple economies-of-scale argument. Let us take a large community of n consumers. All of them face the problem of whether a certain product is dangerous. Now everyone can find this out for themselves with a cost of c to do so. If the state carries out these tests, the costs are also c, but financed via a tax and distributed among the community, costs of c/n arise for each citizen, and if n becomes very large, these costs are negligible for the payoffs of the individual citizens.
66 Public Choice (2024) 201:61–81 where 𝜃i ∈{0, 1} is an indicator variable for whether a citizen i acquires information on the true value of x. In the formal setup here, only one economic choice is made and the payoff consequences of choice have only two components, of which the x-component is perfectly correlated among citizens and the y-component is fully idiosyncratic, x is just a number between -1 and 1, uniformly applying to all citizens. These assumptions are meant to reduce complexity, but the single economic choice item represents a whole set of such choices, and each choice might involve multiple payoff components, some of which are more idiosyncratic than others in an empirical counterpart of the framework. It would be first best in our framework if the government could make individual-specific decisions that take the true values of yi into account, or if the government could costlessly inform citizens about the value of x (basically driving c0 down to zero) and then leave the decision to the individual. However, such costs of informing citizens are significant in a more complex reality and generate the trade-off between individual decisions and governmental decision-making. This justifies the assumption that c0>0 . These considerations also highlight that the citizens’ costs of inference in x are a policy variable, and the paper offers comparative static results on this policy variable, with a broader discussion in Sect.6. 3 Equilibrium 3.1 Equilibrium instage 3 In the paternalist regime the state is not a player and acts as if it is a benevolent automaton that maximizes expected welfare. Hence, the state chooses A if x>0 and D if x<0 . Each (3) 𝜋 i= { yi+x−𝜔ie−𝜃ic(𝜔i)if the outcome is A −𝜔 i e−𝜃 i c(𝜔 i )if the outcome is D Fig. 1 Game tree
67 Public Choice (2024) 201:61–81 of these outcomes occurs with ex-ante probability G(0)=1−G(0)=1∕2 .13 For a citizen with taste yi the resulting expected payoff is where, using (2), the utility up(yi) in the paternalist regime is Not seeking information on x is optimal for individual citizens in this case, because the citizen’s information acquisition on x is costly but also useless in the paternalist regime. Consider the libertarian regime. The citizen i knows yi at this stage. The citizen has invested in decision capabilities ( 𝜔i=1 ) or not ( 𝜔i=0 ), resulting in information acquisition costs ci∈{c1,c0} . The citizen decides whether to acquire information about x and then chooses A or D. If the citizen acquires information, the citizen knows both x and yi and optimally chooses A if x+yi>0 and D if x+yi<0 . If the citizen i does not acquire information about x, the citizen anticipates E(x)=0 and chooses A if yi+E(x)=yi>0 and D if yi+E(x)=yi<0 .14 The player could always decide on the basis of yi only. But learning the true value of x has a cost of ci and allows the citizen to correct its choice if yi and x are of opposite signs and the absolute value of x is larger than that of yi . As is easy to verify, the player prefers to learn the true value of x if yi∈ (−y(ci),y(ci)) and prefers to make a decision on yi only and save the cost ci if yi∈ [−1, −y(ci)) ∪ (y(ci),1] where y(ci) is defined by Intuitively, an individual who assesses the precise value of x has a cost ci and always makes the optimal decision between A and D. Alternatively, i could base the decision only on yi and save the cost. This implies that i sometimes makes “wrong” decisions: for instance, when yi is negative, but x is positive and larger than yi , or yi is positive, but x is negative and larger in absolute terms. If i knows x, i can avoid such wrong decisions. The left-hand side sums up the expected payoff benefits from these better decisions. The range and size of such improvements depend on how much yi differs from y=0 . For instance, for yi=−1 the choice D is always optimal for all x and the cost of information would be wasted. The value y is the critical value of yi for which these expected benefits equal the cost ci . Note that the interval (−y(ci),y(ci)) is always non-empty if ci is sufficiently close to zero, and it vanishes if ci is sufficiently high. Put differently, if the idiosyncratic taste component shows no clear preference for A or D (i.e., if yi is close to zero), then learning about the level of x is particularly worthwhile. If, with regard to the idiosyncratic preference component, one of the alternatives performs significantly better than the other (i.e., if yi is close to 1, or close to (4) ∫1 0 (yi+x)G�(x)dx −𝜔ie=up(yi)−𝜔ie , (5) u p(yi)= 1 2 yi+V(G) . (6) ∫1 −y (y+x)G�(x)dx −y=ci . 14 The outcomes x+yi=0 or yi=0 are zero probability events. We can make any assumption about the choice for these events and assume that the citizen randomizes in this case. 13 The outcome x=0 is a zero-probability event. We can make any assumption about the choice for this event. In the game tree in Fig.1, for instance, the assumption is that D is chosen in case of this zero-probability event.
68 Public Choice (2024) 201:61–81 −1 ), then it is unlikely that the decision for or against A would be influenced by the knowledge of the actual value of x. For sufficiently extreme values of yi the expected payoff benefit from information acquisition is then smaller than the information acquisition cost. Accounting for the optimal information acquisition choice, we find that citizen i’s expected payoff is equal to u(yi;ci)−𝜔ie where It is easily confirmed that u(yi;ci) in (7) is continuous and weakly monotonically increasing in yi and weakly convex in yi and has u(−1;ci)=0 and u(1;ci)=1 . Figure 2 illustrates the payoffs of a citizen if she does not acquire information and if she acquires information as functions of yi for the special parametric values with G(x) uniformly distributed and ci=0.1 . The dashed line is i’s expected payoff max{0, yi}+E(x) if idoes not acquire information. The solid curve is the expected payoff if i acquires information. For a positive but sufficiently small cost ci∈(0, V(G)) these curves intersect precisely two times, where each intersection characterizes the critical values (6) for which the citizen is indifferent about whether to acquire information. The payoff u(yi;ci) that makes use of the optimal information acquisition behavior consists of the upper envelope of the two curves: the dashed segment for yi∈ [−1, −y) , the solid segment for yi∈ (−y,y) and the dashed segment for yi∈[y,1) . The critical size y of the idiosyncratic benefit defined in (6) is a function of ci . A lower ci shifts the solid curve in Fig.2 up and makes information acquisition relatively more attractive. The interval (−y,y) increases monotonically in size from size zero for ci=V(G) to the full support (−1, 1) for ci=0 . The length of this interval (−y,y) remains (7) u (yi;ci)= ⎧ ⎪ ⎨ ⎪ ⎩ 0 if y i <−y(c i ) −ci+∫1 −yi (yi+x)G�(x)dx if yi∈ (−y(ci),y(ci )) y i if y i >y(c i ). Fig. 2 Dashed line: expected payoff if i does not acquire information. Solid line: expected payoff net of information cost ci if i acquires information
75 Public Choice (2024) 201:61–81 the implications inside the analytical framework, let us assume that the transaction cost of deviating from the government recommendation is close to zero. Suppose the government knows x and suggests choosing A if x is positive and D if x is negative. In such a soft-paternalism regime, the calculus of the citizens changes. Suppose, for instance, the government suggests a choice of A. Then, each citizen can make inference and knows that x>0 , and more precisely, that x is a number from (0,1), with Any citizen i who has yi≥−E(x|x>0) will then choose A. The remaining share of citizens have yi<−E(x|x>0) . If they do not pay the cost and do not learn the true value of x, they will choose D and have an expected payoff of zero, which is larger than the payoff yi+E(x|x>0) from following the government’s suggestion. In particular, for citizens i with a strongly negative yi this will be the best choice. For a given cost ci , some citizen types in an intermediate range yi∈(y,−E(x|x>0)) for y properly defined might still find it optimal to expend the information cost and make a fully informed choice. Hence, the individual’s political preference on soft paternalism and libertarian choice follows a modified, but very similar logic to the choice between strong paternalism and libertarian choice. 5.4 Education policy In their early years individuals might learn general skills that enable them to tackle all kinds of specific problems: how to structure a problem, logic thinking abilities to solve it, and other universal skills, including probability theory and calculus. Young citizens might embrace the given public schooling opportunities and benefit from it after spending learning effort, become educated and trained, or be reluctant to expend such effort. The empirical relevance of this choice was discussed above when the cost of skill acquisition was introduced. Whether it is an optimal choice for a young citizen to make extensive use of schooling options and to acquire skills depends not only on the given quality and costs of the education system, but also on the future social and economic environment: i.e., how useful these skills are in later life. A future political system that leaves no scope for individual decision-making makes it less worthwhile to acquire such skills than a future political system in which citizens must make their own decisions and have to bear the consequences of these decisions. The analysis in this paper uncovers how the decisions on making use of the public education offer interact and cause multiple equilibria as regards the political regime outcome. The governmental education alternatives basically determine the private costs of becoming skilled and may also shift both c0 and c1 . The analysis therefore allows a comparative-static analysis of how the governmental education initiatives affect policyregime outcomes. 5.5 Generational dynamics andhysteresis Capabilities are typically developed in early stages of life. The simple framework studied considered a game in which all citizens choose simultaneously whether to develop their decision capabilities. If populations consist of citizens of different ages, then younger cohorts make decisions about the acquisition of capabilities when the capabilities of members of the older generation are already molded. Such an overlapping-generations age E (x | x>0)= ∫1 0 G�(x)dx .
76 Public Choice (2024) 201:61–81 structure can generate hysteresis of regime choice. It seems plausible that the distribution of capabilities among the older citizens affect the anticipated distribution of capability choices among the young cohort. This might happen through imitation or the transmission of behavior, as is sometimes assumed for other tastes, attitudes or convictions.18 In the context here, the transmission is not intentional or driven by parental preferences but emerges from the impact of given majorities on the feasible policy options for the next generation. Suppose, for instance, the current old generation did not invest in capabilities. Hence, a smaller share of them will find a libertarian regime attractive. The current young generation might not have the critical population mass to shift a paternalist equilibrium toward a libertarian equilibrium in this case, even if the whole young population develops capabilities. Expectations will then be that the regime will be paternalist, and the young generation will therefore abstain from developing decision capabilities. This situation then repeats in the next generation, and this mechanism can generate inertia in how paternalism persists. The same logic applies in a libertarian society with a capable older generation: It might forward its regime also to the next generation. Hence, accounting for the age structure in a population tends to stabilize the regime choice over time. 5.6 A truly dynamic andmulti‑dimensional framework? The formal analysis is in the tradition of multistage, but static games, whereas the empirical counterpart typically has dynamic elements. Incomplete information in a framework that accounts for such dynamics leads to interesting questions (e.g., should one pioneer or wait and learn from others? Can one learn from government choices? What activities and findings are observable and by whom?) – learning, signaling, and Bayesian updating become relevant. These issues have been studied in other more abstract contexts but are orthogonal to the basic trade-off studied here. The model should not be understood as one in which there is a repeated choice of the same single issue, but a generalization would have a whole vector of decision problems that might appear simultaneously and/or sequentially. At a high cost of complexity increase one could work out this generalization analytically, also allowing for the heterogeneity of citizens along several choice dimensions. There are many different choices on different economic problems that have to be made. For some of these choice problems the assessment needs very specialized knowledge, e.g., on medical, biological or technical issues, such that a delegated choice is best for all individuals. There are also issues in which the individual information costs are trivial.19 The framework here is relevant for a presumably large intermediate range of choice problems in which there is a real trade-off between the advantage of taking individual preferences on board and the cost-saving advantage of a public assessment of common payoff components. Skill-acquisition decisions will then shift the range of intermediate decision problems in which some, but not all types of individuals prefer individual decision-making to paternalism. 18 A large literature in the social sciences considers intergenerational transmission of norms and culture. See Hawkins etal. (2019) for a review. 19 Note that the formal framework covers such corner solutions, as F and G can be very different in their dispersions and the actual mass of F or G need not be spread across the full supports of these distributions.
77 Public Choice (2024) 201:61–81 6 Conclusions The fundamental trade-off that shapes the political preferences of voters is an information trade-off. The government might have the benefit of better and more cost-effective information about the decision consequences that apply universally to all citizens, and citizens might want to benefit from this information advantage. But citizens may also have an idiosyncratic gain or loss from one or the other economic outcome. The paternalist state cannot know these idiosyncratic tastes and cannot tailor its regulatory decisions to each individual case. The government typically must choose a one-size-fits-all policy. These two aspects generate a trade-off and are important for a partitioning of the population into paternalists and libertarians, which, in turn, determines whether the majoritarian outcome is paternalist or libertarian. A channel that shapes this political equilibrium is the endogeneity of citizens’ decision capabilities. Their quest for libertarianism is further strengthened if citizens can educate themselves and develop skills that lower their cost of making good autonomous decisions. If the costs for analyzing decision problems becomes low enough, then libertarianism will prevail. Unfortunately, this outcome relies on there being a sufficient number of citizens who invest in such capabilities. Examples of such investment are the willingness to invest in financial literacy, in the knowledge about healthy food, or about desirable safety precautions, etc. And in turn, the willingness to invest in such decision skills depends on citizens’ anticipations of what regime will prevail. There is a mutually reinforcing feedback loop between the anticipation of a paternalist regime and the lack of skill investment, but there is also a mutually reinforcing feedback loop between the anticipation of a libertarian society and how citizens invest in increasing their own ability to make informed decisions. This feedback loop suggests a multiplicity of equilibrium. Starting from the same ex-ante homogeneous population, a libertarian society and a paternalist regime are both possible outcomes of democratic regime choice among fully rational consequentialist voters. The role of this feedback loop for equilibrium outcomes has been unveiled here in a static model. Factors such as the formation of consumer organizations that make it easier for the citizens to stay informed about the systematic payoff component shift the range in which multiple equilibria exist and may make a libertarian regime with autonomous decisions more likely. Accounting for the age distribution in a society is also relevant and can explain hysteresis, essentially leading the younger citizens to make skill acquisition choices that are similar to their parent generation. Appendix Proof of Proposition 1 The claim in Proposition 1 that citizens with yi∈ (−yh(ci),yh(ci)) prefer the paternalist regime and citizens with preferences outside this interval prefer the libertarian regime follows from the following properties of the payoffs u(yi,ci) and up(yi) : u(yi;ci) as in (7) and up(yi) as in (5) intersect exactly twice. Denote the points of intersection by yh(ci)∈(0, 1] and yl∈ [−1, 0] . It holds that yl(ci)=−yh(ci) . We prove this property as follows. Recall that u(yi;ci) as in (7) is a continuous function of yi that starts in u(−1;ci)=0 , has u(0;ci)=max{0, V(G)−ci}<V(G) at yi=0 and ends in u(1;ci)=1 . Recall the definition of the critical taste value y defined by (6). The function u(yi;ci) has zero slope on yi∈[0, −y) , is increasing and strictly convex on (−y,y) , and u(yi;ci)=yi ,
78 Public Choice (2024) 201:61–81 i.e., is the identity, in the interval yi∈(y,1) . The function up(yi) as in (4) is linear, has u p(−1)=− 1 2 +V(G)< 0 , it has u p(0)=V(G)∈(0, 1 2 )>max{0, V(G)−c i} , and it has u p(1)= 1 2 +V(G)∈( 1 2 ,1 ) . According to these values at {−1, 0, 1} and the properties of u(yi;ci) and up the two curves must intersect (at least) once for yi in the interval (−1, 0) and once for yi in the interval (0,1). Uniqueness of the intersection in the interval yi∈ (−1, 0) follows because up has a constant positive slope of 1 2 , and u(yi;ci) has a slope equal to zero in the range (−1, −y) , is strictly convex in the range (−y,0) and has u(0;ci)<up(0) . An analogous argument applies for the uniqueness of the intersection in the range yi∈(0, 1) . For a given ci , denote the intersections by yl(ci) and yh(ci) . It follows from the above that up intersects u(yi;ci) from the lower left to the upper right at yi=yl(ci) and that up intersects u(yi;ci) from the upper left to the lower right at yi=yh(ci) . This implies that the voter with a cost ci prefers the libertarian regime for tastes yi in the ranges [−1, yl(ci)) and (yh(ci),1] , and prefers the paternalist regime for tastes yi in the range (yl(ci),yh(ci)) . Next, we note that yl(ci)=−yh(ci) follows from structural symmetry of the choice problem between the two alternatives. A more detailed proof of this property uses that yl and yh are the only values yi for which up(yi)=u(yi;ci) , and that yl<0 and yh>0 and distinguishes between two cases, one in which 0<yh≤y<1 and one in which 0<y<yh<1 . Finally, consider the claim dy h (c i ) dci ≥0, which is equivalent to the claim dy l (c i ) dci ≤0 . Two cases need to be distinguished. If yl(ci)< y(ci) , then a marginal increase in ci does not change yl , as the citizen with yi=yl<− y does not acquire information in equilibrium in the libertarian regime. If yl∈ (−y,0) , then, recalling that V (G)= ∫1 0 xG�(x)dx =− ∫0 −1 xG�(x) dx , the intersection up(yi)=u(yi;ci) determines yl as the solution of which can be written as Totally differentiating and simplifying yields ◻ Proof of Proposition 2 (i) Let 2F(−yh(c1)) >1∕2 . Suppose citizen i believes that all other citizens j≠i invest in decision capabilities (i.e. choose 𝜔j=1 ). They will expect that a libertarian majority emerges from this with probability p=1 , leading to the libertarian regime. In this regime all citizens solve an individual maximization problem as described in Proposition1, where they know their own cost ci , their own idiosyncratic taste component yi and the distribution G(x) from which x is drawn. 1 2 yl+V(G)=−ci+yl∫ 1 −y l G�(x)dx +∫ 1 −y l xG�(x) dx (13) y l∫ −y l 0 G�(x)dx +∫ −y l 0 xG�(x)dx +ci= 0. (14) dy l dc i =− 1 ∫ −yl 0 G�(x)dx < 0.
79 Public Choice (2024) 201:61–81 In stage 1, not knowing her own yi yet, but given these beliefs and (10) and (9), citizen i prefers to invest in decision capabilities. The same logic applies for all citizens, such that all citizens have invested in decision capabilities when they enter the voting stage 2. Now, as citizens vote and vote sincerely, they vote for the libertarian regime if their type yi ∈ [−1, yl(c1)) ∪ (yh(c1),1] and for the paternalist regime if their type yi ∈(yl(c1),yh(c1)) . Accordingly, the share of citizens who vote for the libertarian regime is F(yl(c1))+(1−F(yh(c1)) = 2F(−yh(c1)) , where the equality sign follows from yl(ci)=−yh(ci) and from the symmetry properties of the frequency distribution F. As 2F(−yh(c1)) >1∕2 the libertarian regime is the majoritarian outcome, and this confirms the equilibrium belief p=1 . Note that a citizen could deviate from this candidate equilibrium behavior in stages 1 or 2. First, she could make a different voting decision. Given the large set of voters, this would not make a difference for the majoritarian outcome. So she cannot increase her payoff by voting for any other than the libertarian regime. Second, she could decide not to invest in decision capabilities. This would also not change the majoritarian voting outcome, but given (10) and (9) this choice would make her worse off in expectation. (ii) Let 2F(−yh(c0)) <1∕2 . Suppose citizen i believes that all other citizens do not invest in decision capabilities such that they all have information costs c0 . Furthermore, she will then believe that the voting outcome is paternalist with probability 1, i.e., p=0 . This then leads to the paternalist regime and an expected payoff for her as described by (4). She prefers not to invest in decision capabilities. The same logic applies for all citizens, such that all citizens have not invested in decision capabilities when they enter the voting stage. She votes for the libertarian regime if yi ∈ [−1, yl(c0)) ∪ (yh(c0),1] and for the paternalist regime if yi ∈(yl(c0),yh(c0)) . Accordingly, the share of citizens who vote for the libertarian regime is F(yl(c0))+(1−F(yh(c0)) = 2F(−yh(c0)) , where the equality sign follows from yl(ci)=−yh(ci) and from the symmetry of the distribution function F. As 2F(−yh(c0)) <1∕2 the paternalist regime is the majoritarian outcome. This confirms the equilibrium belief p=0 . Note that citizen i could deviate at stages 1 or 2. First, she could make a different voting decision. Given the large set of voters, this would not make a difference for the majoritarian outcome nor for her payoff. Second, she could choose 𝜔i=1 , i.e., decide to invest in decision capabilities. This would not change the paternalist majoritarian voting outcome, and this choice would make her worse off by the amount of the cost e of this investment. (iii) We note: yh(c0)≥yh(c1) implies 2F(−yh(c0)) ≤ 2F(−yh(c1)) , where strict inequality applies if −y(c1)<−yh(c1) . Hence, for a suitably chosen F, it holds that such that both these equilibria exist: the equilibrium in which all citizens invest in decision capabilities and where a majority of them vote for the libertarian regime, and the equilibrium in which all citizens do not invest in decision capabilities and where a majority of them vote for the paternalist regime. ◻ Acknowledgements Comments by Dan Kovenock, Sven A. Simon, Arye Hillman, the participants of BEAT at Tsinghua University, PolEcCon in Berlin, a seminar at University of Magdeburg and AMES2023 at NanyangTechnological University in Singapore, and three reviewers are gratefully acknowledged. I also (15) 2F(−yh(c0)) <1∕2<2F(−yh(c1)),
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