The replacement principle for the provision of multiple public goods on tree networks

This article considers the provision of two public goods on tree networks where each agent has a single-peaked preference. We show that if there are at least four agents, then no social choice rule exists that satisfies efficiency and replacement-domination. In fact, these properties are incompatible, even if agents’ preferences are restricted to a smaller domain of symmetric single-peaked preferences. However, for rules on an interval, we prove that Miyagawa’s (Soc Choice Welf 18:527–541, 2001) characterization that only the left-peaks rule and the right-peaks rule satisfy both of these properties also holds on the domain of symmetric single-peaked preferences. Moreover, if agents’ peak locations are restricted to either the nodes or the endpoints of trees, rules exist on a subclass of trees. We provide a characterization of a family of such rules for this tree subclass.     

The division problem with voluntary participation

The division problem consists of allocating a given amount of a homogeneous and perfectly divisible good among a group of agents with single-peaked preferences on the set of their potential shares. A rule proposes a vector of shares for each division problem. The literature has implicitly assumed that agents will find acceptable any share they are assigned to. In this article we consider the division problem when agents’ participation is voluntary. Each agent has an idiosyncratic interval of acceptable shares where his preferences are single-peaked. A rule has to propose to each agent either to not participate or an acceptable share because otherwise he would opt out and this would require to reassign some of the remaining agents’ shares. We study a subclass of efficient and consistent rules and characterize extensions of the uniform rule that deal explicitly with agents’ voluntary participation.     

Feasible Mechanisms in Economies with Type-Dependent Endowments

We propose two classes of allocation games for N.T.U. and T.U. exchange economies in which initial endowments and preferences depend on the agents’ private information. In both models, agents make non-verifiable claims about their types and effective deposits of consumption goods, which are redistributed by the planner. In a W-allocation game, the agents can withhold part of their endowment, namely consume whatever they do not deposit. In a D-allocation game, the agents can just destroypart of their endowment. W- and D- incentive compatible (I.C.) direct allocation mechanisms ask every agent to reveal his type and to make a deposit consistent with his reported type. The revelation principle holds in full generality for D-I.C. mechanisms but some care is needed for W-I.C. mechanisms. We further investigate the properties of both classes of mechanisms under common assumptions like non-exclusive information and/or constant aggregate endowment. In T.U. economies, W-I.C. and D-I.C. mechanisms are ex ante equivalent.     

Solidarity in choosing a location on a cycle

We study the implications of two solidarity conditions on the efficient location of a public good on a cycle, when agents have single-peaked, symmetric preferences. Both conditions require that when circumstances change, the agents not responsible for the change should all be affected in the same direction: either they all gain or they all loose. The first condition, population-monotonicity, applies to arrival or departure of one agent. The second, replacement-domination, applies to changes in the preferences of one agent. Unfortunately, no Pareto-efficient solution satisfies any of these properties. However, if agents’ preferred points are restricted to the vertices of a small regular polygon inscribed in the circle, solutions exist. We characterize them as a class of efficient priority rules.     

Costly voting when both information and preferences differ: is turnout too high or too low?

We study a model of costly voting over two alternatives, where agents’ preferences are determined by both (i) a private preference in favour of one alternative e.g. candidates’ policies, and (ii) heterogeneous information in the form of noisy signals about a commonly valued state of the world e.g. candidate competence. We show that depending on the level of the personal bias (weight on private preference), voting is either according to private preferences or according to signals. When voting takes place according to private preferences, there is an unique equilibrium with inefficiently high turnout. In contrast, when voting takes place according to signals, turnout is locally too low. Multiple Pareto-ranked voting equilibria may exist and in particular, compulsory voting may Pareto dominate voluntary voting. Moreover, an increase in personal bias can cause turnout to rise or fall, and an increase in the accuracy of information may cause a switch to voting on the basis of signals and thus lower turnout, even though it increases welfare. This is a substantially revised version of Department of Economics University of Warwick Working Paper 670, “Information Aggregation, Costly Voting and Common Values”, January 2003. We would like to thank B. Dutta, M. Morelli, C. Perrroni, V. Bhaskar and seminar participants at Warwick, Nottingham and the ESRC Workshop in Game Theory for their comments. We would also like to thank the editor and an anonymous referee for their comments.     

How the market responds to dynamically inconsistent preferences

This paper responds to the ‘soft paternalist’ argument that the findings of behavioural economics make traditional objections to paternalism incoherent. We show that there is a normatively significant sense in which, even if individuals lack coherent preferences, competitive markets are efficient in providing them with opportunities to get what they want. Extending earlier analysis by Sugden, we model a multi-period ‘storage economy’ and explore the implications of dynamically inconsistent preferences. We show that, despite apparent conflicts of judgement between an individual’s ‘selves’, competitive markets provide maximal opportunity, and that they do so by facilitating voluntary exchanges between selves.     

A Geometric Study of Shareholders’ Voting in Incomplete Markets: Multivariate Median and Mean Shareholder Theorems

A simple parametric general equilibrium model with S states of nature and K < S firms is considered. Since markets are incomplete, at a (financial) equilibrium shareholders typically disagree on whether to keep or not the status quo production plans. Hence each firm faces a genuine problem of social choice. The setup proposed in the present paper allows to study these problems within a classical (Downsian) spatial voting model. Given the multidimensional nature of the latter, super majority rules with rate are needed to guarantee existence of politically stable production plans. A simple geometric argument is proposed showing why a 50%-majority stable production equilibrium exists when K=S−1. When the degree of incompleteness is more severe, under more restrictive assumptions on agents’ preferences and the distribution of agents’ types, equilibria are shown to exist for rates ρ smaller than Caplin and Nalebuff (Econometrica 59: 1–23, 1991) bound of 0.64: they obtain for production plans whose span contains the ‘ideal securities’ of all K mean shareholders.Hervé Crès is a member of the GREGHEC, unité CNRS, UMR 2959.     

‘One and a Half Dimensional’ Preferences and Majority Rule

I examine a model of majority rule in which alternatives are described by two characteristics: (1) their position in a standard, left-right dimension, and (2) their position in a good-bad dimension, over which voters have identical preferences. I show that when voters’ preferences are single-peaked and concave over the first dimension, majority rule is transitive, and the majority’s preferences are identical to the median voter’s. Thus, Black’s (The theory of committees and elections, 1958) theorem extends to such a “one and a half” dimensional framework. Meanwhile, another well-known result of majority rule, Downs’ (An economic theory of democracy, 1957) electoral competition model, does not extend to the framework. The condition that preferences can be represented in a one-and-a-half-dimensional framework is strictly weaker than the condition that preferences be single-peaked and symmetric. The condition is strictly stronger than the condition that preferences be order-restricted, as defined by Rothstein (Soc Choice Welf 7:331–342;1990).     

Allocating multiple estates among agents with single-peaked preferences

We consider the problem of allocating multiple social endowments (estates) of a perfectly divisible commodity among a group of agents with single-peaked preferences when each agent’s share can come from at most one estate. We inquire if well-known single-estate rules, such as the Uniform rule, the Proportional rule or the fixed-path rules can be coupled with a matching rule so as to achieve efficiency in the multi-estate level. On the class of problems where all agents have symmetric preferences, any efficient single-estate rule can be extended to an efficient multi-estate rule. If we allow asymmetric preferences however, this is no more the case. For nondictatorial single-estate rules that satisfy efficiency, strategy proofness, consistency, and resource monotonicity, an efficient extension to multiple estates is impossible. A similar impossibility also holds for single-estate rules that satisfy efficiency, peak-only, and a weak fairness property. We would like to express our gratitude to Bhaskar Dutta, Semih Koray, Hervé Moulin, and Yuntong Wang as well as an associate editor and two anonymous referees of this journal for detailed comments and suggestions. We also thank the seminar participants at Bilkent University, Indian Statistical Institute, Bilgi University, University of Warwick, ASSET 2003, and BWED XXVI.     

The Politics of Randomness

Recent analysis of public policy is based on elaborate political-economic models. A major advantage of these useful models is that they have micro-foundations. Their main shortcomings are that they are usually based on drastic simplifications regarding the institutional setting and, more importantly, that the results they yield are not robust to the assumptions regarding the institutional setting, the policy space or the agents’ preferences. An alternative reduced-form modeling is the public-policy lobbying contest. This model can be applied to public-policy determination in representative democracies. However, its main drawback is that the notion of contest success function (CSF), a crucial component of the contest model, does not have micro-foundations and, therefore, the random behavior of the government seems ad-hoc. In the present paper we propose a partial micro-foundation for the public-policy contest. The possible rationalization of random government behavior is illustrated in the case of the most commonly studied CSFs: the function associated with the all-pay auction and Tullock’s lottery logit functions. We also clarify how stake asymmetry, lobbying-skill asymmetry and return to lobbying effort determine the relative desirability, from the government’s point of view, of these CSFs.     

An extension of Bowen’s dynamic voting rule to many dimensions

 We ask in this paper about the effect on social decisions of limiting the size of changes that voters may propose each time in an otherwise standard dynamic social choice model. The voting rule we study can be seen as an extension of Bowen’s dynamic “majority voting” rule, and is closely related to the dynamic procedures for public good allocation in the literature (Drèze and de la Vallée Poussin 1971; Malinvaud 1971; Laffont and Maskin 1983; Chander 1993). Under general assumptions we prove existence and Pareto efficiency of equilibrium, and show that our rule motivates voters not to misrepresent preferences (more precisely, the rule is Strongly Locally Individually Incentive Compatible). Under Euclidean preferences we find that electoral cycles do not arise (i.e., the rule is convergent), that there is a unique equilibrium, and that the equilibrium coincides with the solution to an old problem of geometry, first addressed by Fermat, Torricelli, and Cavallieri. Received: 20 September 1994/Accepted: 6 August 1996     

Work–Family Conflict and Fertility Intentions: Does Gender Matter?

Fertility among employed women remains far below their desired preferences. Although research has shown that fertility intentions significantly predict subsequent behavior, little is known about the factors that contribute to intentions. We assess the impacts of perceived self and partner work-to-family and family-to-work conflict on the fertility intentions of both women and men. Using a national probability sample of men and women in dual-earner families (N = 630), we find that men’s perceptions of their wives’ work–family conflict significantly predict men’s fertility intentions, even though men’s own work–family conflict does not. Neither women’s own work–family conflict nor their perceptions of their husbands’ work–family conflict predicts women’s fertility intentions.     

LICENSING POLICY AND TECHNOLOGY ADOPTION IN STANDARD SETTING ORGANIZATIONS

The standard setting organizations' decisions on licensing policy and standard's technological specification, and the ensuing implications for social welfare are analyzed. The author finds the conditions under which a licensing rule that grants monopoly power to the licensors whose technology is adopted in the standard can be employed by the members of the consortium (ex‐post licensing). Moreover, it is shown that the adoption of ex‐post licensing might lead to the inefficient exclusion of an efficient stand‐alone licensor. Finally, the author discusses the conditions under which a policy of ex‐ante licensing can be less efficient than ex‐post licensing. (JEL K21, L15, L24, L42)     

Marriage matching and gender satisfaction

The performance of the Gale–Shapley marriage matching algorithm (Am Math Mon 16:217–222, 1962) has been studied extensively in the special case of men’s and women’s preferences random. We drop the assumption that women’s preferences are random and show that , where R _n is the men’s expected level of satisfaction, that is, the expected sum of men’s rankings of their assigned mates, when the men-propose Gale–Shapley algorithm is used to match n men with n women. This is a step towards establishing a conjecture of Knuth (Mariages Stables et leurs relations avec d’ autres problémes combinatoires, 1976, CRM Proceedings and Lecture Notes, Vol 10, 1997) of 30 years standing. Under the same assumptions, we also establish bounds on the expected rankings by women of their assigned mates.     

EX ANTE EFFICIENT MECHANISM WITH PRIVATE ENTRY COSTS

This paper studies ex ante efficient resource allocation mechanism in an environment where agents endowed with their private values must incur private entry costs to participate. Due to the nature of this bidimensional screening problem and the difficulty in fully characterizing all implementable endogenous entries, the domain of the related social planner's problem that is essential for establishing the existence of efficient mechanism needs to be carefully designed. We find that a second-price auction among the entrants with a reserve price equal to the seller's valuation is ex ante efficient, and any ex ante efficient mechanism must be ex post efficient. (JEL D44, D61, D82)     

Strategy-proofness versus efficiency on restricted domains of exchange economies

 Strategy-proofness has been shown to be a strong property, particularly on large domains of preferences. We therefore examine the existence of strategy-proof and efficient solutions on restricted, 2-person domains of exchange economies. On the class of 2-person exchange economies in which agents have homothetic, strictly convex preferences we show, as Zhou (1991) did for a larger domain, that such a solution is necessarily dictatorial. As this proof requires preferences exhibiting high degrees of complementarity, our search continues to a class of linear preferences. Even on this “small” domain, the same negative result holds. These two results are extended to many superdomains, including Zhou’s. Received: 9 June 1995/Accepted: 8 January 1996     

On the manipulation of social choice correspondences

Duggan and Schwartz (Soc Choice and Welfare 17: 85–93, 2000) have proposed a generalization of the Gibbard–Satterthwaite Theorem to multivalued social choice rules. They show that only dictatorial rules are strategy-proof and satisfy citizens sovereignty and residual resoluteness. Citizens sovereignty requires that each alternative is chosen at some preference profile. Residual resoluteness compels the election to be single-valued when the preferences of the voters are “similar”. We propose an alternative proof to the Duggan and Schwartz’s Theorem. Our proof highlights the crucial role of residual resoluteness. In addition, we prove that every strategy-proof and onto social choice correspondence concentrates the social decision power in the hands of an arbitrary group of voters. Finally, we show that this result still holds in a more general framework in which voters report their preferences over sets of alternatives.     

Utilities,preferences, and substantive goods

 People’s utility levels are meant to be measures of their well-being. Early utilitarians defined them in terms of people’s happiness. Modern economics defines them in terms of people’s actual preferences. But in ethics they have to be defined in terms of people’s informed preferences. I shall discuss the relationship between people’s desires and preferences, and that between their reasoned and unreasoned preferences. I shall argue that people’s basic desires are much the same, whereas their preferences are often very different. Finally, I shall argue, contrary to Scanlon’s theory, that the things that are good for us are beneficial to us ultimately because they satisfy our biological and psychological needs and our personal interests. Received: 8 July 1996     

IN SEARCH OF THE WINNER'S CURSE

Earlier papers on the winner's curse have provided theoretical arguments that winning bidders in an auction will incur ex post losses even when all bidders use reasonable ex ante bidding strategies. This paper demonstrates that these arguments are erroneous: optimal ex ante bidders will never suffer from a winner's curse in an auction where only the winning bid is announced; furthermore, such bidders will on the average not suffer from a winner's curse in an auction where all bids are announced. Thus if a winner's curse is a behavioral reality then bidders are not generally using ex ante optimal strategies.     

Discrete choice models of labour supply,behavioural microsimulation and the Spanish tax reforms

The aim of the present study is to show the potential of behavioural microsimulation models as powerful tools for the ex ante evaluation of public policies. We analyse the impact of recent Spanish income tax reforms upon efficiency and household and social welfare and study the effects of various (basic-income and vital-minimum) flat tax schemes. The analysis is performed using a microsimulation model in which labour supply is explicitly taken into account. Instead of following the traditional continuous approach (Hausman, Labour supply, Aaron and Pechman (eds.), How Taxes Affect Economic Behaviour, The Brooking Institution, Washington, DC, 1981; Econometrica, 53: 1255–1282, 1985; Taxes and labour supply, Auerbach and Feldstein, (eds.), Handbook of Public Economics, North-Holland, Amsterdam, vol. 1, 1979), we estimate the direct utility function employing the methodology proposed by Aaberge et al. (Scand. J. Econ., 97: 635–659, 1995) and Van Soest (J. Hum. Resour., 30: 63–88, 1995). We maintain population heterogeneity by applying a social welfare analysis to the complete sample, rather than merely focusing on the active population. The source of our data is a sample of Spanish individuals in the 1995 wave of the EC Household Panel. We find that the redistribution policies considered have only had a minor impact on economic efficiency but, by contrast, have significantly affected social welfare. An erratum to this article can be found at