Voting in small committees

We analyze the voting behavior of a small committee that has to approve or reject a project proposal whose return is uncertain. Members have diverse preferences: some of them want to maximize the expected value, while others have a bias towards project approval and ignore their information on the project value. We focus on the most efficient use of scarce information when members cannot communicate prior to voting, and we provide insights on the optimal composition of the committee. Our main result is that the presence of biased members can improve the voting outcome, by simplifying the strategies of unbiased members. Thus, committees with diverse members perform as well as homogeneous committees, and even better in some cases. In particular, when value-maximizing members outnumber biased members by one vote, the optimal equilibrium becomes unique.     

The stability of decision making in committees: The one-core

We study the stability of decision making in committees. A policy proposal introduced by a committee member is either adopted or abandoned in favor of a new proposal after deliberations. If a proposal is abandoned, it is in spite of the committee member who introduced it, who does not cooperate in any effort to defeat it. Shenoy (1980) proposes the one-core as a solution concept for this game, and shows that this solution may be empty. We provide a necessary and sufficient condition for the existence of a stable policy under the majority rule. This result highlights a trade-off between the size of a committee, the number of competing policy options, and the existence of a stable outcome. Our findings imply a tension between political stability and the existence of a large number of competing interests in democracies.     

Bargaining in committees as an extension of Nash's bargaining theory

This paper addresses the following issue: if a set of agents bargain on a set of feasible alternatives ‘in the shadow’ of a voting rule, that is, any agreement can be enforced if a ‘winning coalition’ supports it, what general agreements are likely to arise? In other words: what influence can the voting rule used to settle (possibly nonunanimous) agreements have on the outcome of consensus? We model the situation as an extension of the Nash bargaining problem in which an arbitrary voting rule replaces unanimity. In this setting a natural extension of Nash's solution is characterized.     

Voting for Redistribution under Desert‐Sensitive Altruism*

We endow individuals who differ in skills and tastes for working, with altruistic preferences for redistribution in a voting model where a unidimensional redistributive parameter is chosen by majority voting in a direct democracy. When altruistic preferences are desert‐sensitive (i.e., when there is a reluctance to redistribute from the hard‐working to the lazy), we show that lower levels of redistribution emerge in political equilibrium. We provide empirical evidence that preferences for redistribution are not purely selfish, and that desert‐sensitive motivations play a significant role. We estimate that preferences for redistribution are significantly more desert‐sensitive in the US than in Europe.     

Viewpoint: Decision-making in committees

Abstract .  This article reviews recent developments in the theory of committee decision-making. A committee consists of self-interested members who make a public decision by aggregating imperfect information dispersed among them according to a pre-specified decision rule. We focus on costly information acquisition, strategic information aggregation, and rules and processes that enhance the quality of the committee decision. Seeming inefficiencies of the committee decision-making process such as over-cautiousness, voting, and delay emerge as partial remedies to these incentive problems.     

Voting on meritocracy

This paper considers a setting where a resource such as education budget is to be distributed among agents. The latter differ in their ability to make use of the resource, and the issue is that of determining the allocation rule whereby the individual shares of the resource (may) depend on their relative efforts of obtaining it. The paper's focus is on endogenous determination, through voting, of the degree of meritocracy in the resource allocation system, which determines the marginal productivity of one's effort. It is found that a meritocratic system is expected to be supported by highly productive individuals and opposed by those with low productivity. When the decision making becomes less elitist and involves broader participation of population groups the support for meritocracy decreases.     

Voting over income taxation

A major problem of the positive theory of income taxation is to explain why statutory income tax schedules in practice are marginal-rate progressive. While it is commonly believed that this is but a simple consequence of the fact that the number of relatively poor voters exceeds that of richer voters in general, putting this contention in a voting equilibrium context is not a trivial task. We do this here in the context of nonlinear taxation and attempt to provide a formal argument in support of this heuristic claim. We first establish the existence of mixed strategy equilibria and identify certain cases in which marginal-rate progressive taxes are chosen almost surely by the political parties. Unfortunately, we also find that if the tax policy space is not artificially constrained, the support of at least one equilibrium cannot be contained within the set of marginal-rate progressive taxes.     

Monetary policy committees and interest rate setting

This paper shows that it is preferable for monetary policy to be conducted by a committee instead of a single policy maker if there is uncertainty about potential output. We examine three decision procedures - an optimal procedure, averaging and voting - and find that the latter is the appropriate way to reach decisions if policy makers are not equally skilled. Finally, we demonstrate that efficient decision procedures reduce the persistence of shocks.     

Voting by veto

This paper describes a voting procedure for revealing preferences for public goods. The procedure consists of two steps: a proposal by each committee member to be added along with the status quo to form the issue set, and then, subsequent to a random determination of voting order, the elimination of one proposal from the issue set by each committee member. For any set of proposals and a given order of voting the procedure determines a unique, winning proposal. Under the procedure's incentives, the winning proposal tends to contain an equal sharing of the potential gains from collective action among the committee members.     

Voting blocs, party discipline and party formation

I study the strategic incentives to coordinate votes in an assembly. Coalitions form voting blocs, acting as single players and affecting the policy outcome. In an assembly with two exogenous parties I show how the incentives to accept party discipline depend on the types of the agents, the sizes of the parties, and the rules the blocs use to aggregate preferences. In a game of fully endogenous party formation, I find sufficient conditions for the existence of equilibria with one bloc, two blocs, and multiple blocs.     

Sequential communication with ex post participation constraints

This paper examines an informed principal-agent game with ex post participation constraints for the agent. It shows that the players do not lose by communicating in turn among themselves rather than simultaneously if and only if the principal communicates first. It then considers every Bayesian incentive compatible allocation rules that assign non-negative payoffs for one player in a bilateral asymmetric information framework. It provides necessary and sufficient conditions for sequential communication to be as efficient as simultaneous communication in implementing these allocation rules when the player with unbounded payoffs moves first.     

Optimization under non-linear constraints

In this paper a time saving method is proposed for maximising likelihood functions when the parameter space is subject to non-linear constraints, expressable as second order polynomials. The suggested approach is especially attractive when dealing with systems with many parameters.     

Asset prices, debt constraints and inefficiency

We consider (possibly non-stationary) economies with endogenous solvency constraints under uncertainty over an infinite horizon, as in Alvarez and Jermann (2000) [5]. A sort of Cass Criterion (Cass, 1972 [10]) completely characterizes constrained inefficiency under the hypothesis of uniform gains from risk-sharing (which is always satisfied in stationary economies when the autarchy is constrained inefficient). Uniform gains from risk-sharing also guarantee a finite value of the intertemporal aggregate endowment at a constrained optimum. Hence, no equilibrium exhibits a null interest rate in the long run. Finally, constrained inefficiency occurs if and only if there exists a feasible redistribution producing a welfare improvement at all contingencies.     

Cognitive constraints, contraction consistency, and the satisficing criterion

A theory of decision making is proposed that offers an axiomatic basis for the notion of “satisficing” postulated by Herbert Simon. The theory relaxes the standard assumption that the decision maker always fully perceives his preferences among the available alternatives, requiring instead that his ability to perceive any given preference be decreasing with respect to the complexity of the choice problem at hand. When complexity is aligned with set inclusion, this exercise is shown to be equivalent to abandoning the contraction consistency axiom of classical choice theory.     

Unique equilibrium in rent-seeking contests with a continuum of types

It is shown that rent-seeking contests with continuous and independent type distributions possess a unique pure-strategy Nash equilibrium.     

On the size and structure of group cooperation

When time preferences are heterogeneous and bounded away from one, how “much” cooperation can be achieved by an ongoing group? How does group cooperation vary with the group's size and structure? This paper examines characteristics of cooperative behavior in the class of symmetric, repeated games of collective action. These are games characterized by “free rider problems” in the level of cooperation achieved. The Repeated Prisoner's Dilemma games is a special case.We characterize the level of maximal average cooperation (MAC), the highest average level of cooperation, over all stationary subgame perfect equilibrium paths, that the group can achieve. The MAC is shown to be increasing in monotone shifts, and decreasing in mean preserving spreads of the distribution of discount factors. The latter suggests that more heterogeneous groups are less cooperative on average. Finally, in a class of Prisoner's Dilemma games, we show under weak conditions that the MAC exhibits increasing returns to scale in a range of heterogeneous discount factors. That is, larger groups are more cooperative, on average, than smaller ones. By contrast, when the group has a common discount factor, the MAC is invariant to group size.     

A two-person game of information transmission

We consider a statistical decision problem faced by a two player organization whose members may not agree on outcome evaluations and prior probabilities. One player is specialized in gathering information and transmitting it to the other, who takes the decision. This process is modeled as a game. Qualitative properties of the equilibria are analyzed. The impact of improving the quality of available information on the equilibrium welfares of the two individuals is studied. Better information generally may not improve welfare. We give conditions under which it will.     

Financing constraints and inventories

This paper investigates the impact of financing constraints on firms’ inventory and cash management. In particular, it examines the extent to which the presence of such constraints may account for certain empirical regularities. These include, e.g., the excess variance of production vis-à-vis that of sales, as well as the counter-cyclicality and persistence of the inventory-sales ratio. We model the intertemporal decision-making on production, cash retention and dividends of a firm that is exposed to stochastic demand shocks in every period and faces constrained access to external sources of finance. It is found that the presence of financing constraints can explain the excess variance of production in a model which otherwise would not deliver this result. Moreover, as long as demand is positively serially correlated they also contribute to the counter-cyclicality and persistence of the inventory-sales ratio. The paper suggests that financing constraints should not be discarded as a factor driving the cyclical behaviour of inventories.     

Asymmetric capacity constraints and equilibrium price dispersion

Price dispersion arises despite perfect information about prices. In equilibrium the higher capacity firm adopts a high-price, high-availability strategy, the lower capacity firm adopts a low-price, low-availability strategy, and consumers are more likely to shop at the high-price firm.