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.     

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 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 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.     

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.     

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.     

Portfolio delegation under short-selling constraints

Summary. In this paper we study delegated portfolio management when the manager’s ability to short-sell is restricted. Contrary to previous results, we show that under moral hazard, linear performance-adjusted contracts do provide portfolio managers with incentives to gather information. We find that the risk-averse manager’s effort is an increasing function of her share in the portfolio’s return. This result affects the risk-averse investor’s choice of contracts. Unlike previous results, the purely risk-sharing contract is now shown to be suboptimal. Using numerical methods we show that under the optimal linear contract, the manager’s share in the portfolio return is higher than what it is under a purely risk sharing contract. Additionally, this deviation is shown to be: (i) increasing in the manager’s risk aversion and (ii) larger for tighter short-selling restrictions. As the constraint is relaxed the deviation converges to zero.Received: 25 July 2002, Revised: 12 December 2004, JEL Classification Numbers: D81, D82, J33.Juan-Pedro Gómez: Correspondence toAn earlier version of the paper was circulated under the title “Providing Managerial Incentives: Do Benchmarks Matter?” We are grateful to an anonymous referee whose comments helped to improve the paper. We also thank comments by Viral Acharya, Alexei Goriaev, Ernst Maug, Kristian Rydqvist, Neil Stoughton, Rangarajan Sundaram, Fernando Zapatero and seminar participants at the 1999 SED meetings in Sardinia, the 1999 Workshop in Mutual Fund Performance at EIASM, Brussels, the 2000 EFA meetings in London, the Bank of Norway, the Stockholm Schools of Economics, the Norwegian School of Management and the 2001 WFA meetings in Tucson. Sharma gratefully acknowledges financial support from the Asociacion Mexicana de Cultura.     

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.     

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.     

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.     

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.     

Evaluating the median voter model’s explanatory power

We match individual senators’ voting behavior on legislative proposals with 24 real referendum decisions on exactly the same issues with identical wording. This setting allows us to evaluate the median voter model’s quality with revealed constituents’ preferences. Results indicate a limited explanatory power of the median voter model: It explains 17.6% points more than random voting and that a senator’s probability to accept a proposal in parliament increases on average by 8.4% points when the district median voter accepts the proposal.     

Games of social interactions with local and global externalities

In this paper we present a result on the existence of pure strategies Nash equilibrium which covers a large class of games with local and global social interactions. The result highlights common features of well-known games analyzed in the literature.     

Optimal agenda-setter timing

Abstract .  We analyze the optimal timing problem of an agenda setter who can propose a project that is then voted on by a committee. The payoff consists of a common stochastic component and an idiosyncratic component that differs among committee members. The agenda setter may be biased for or against the project, relative to the median committee member, and chooses when to call the vote. We analyze how the timing decision depends on the political environment and the bias of the agenda setter. We show that both positively and negatively biased agenda setters can implement decisions that differ from those preferred by the median committee member.     

Expressive and Instrumental Voting: The Scylla and Charybdis of Constitutional Political Economy

Brennan and Hamlin [(2002) Constitutional Political Economy 13(4): 299–311] noted that expressive voting still holds at the constitutional phase. The argument, when taken to its necessary conclusion, proves quite problematic for Constitutional Political Economy. Veil mechanisms following Buchanan induce expressive voting at the constitutional phase, removing the normative benefits ascribed to the hypothetical unanimity principle. If the constitution is authored by a small group and the veil is thereby removed, instrumental considerations come to bear and the authors of the constitution establish themselves as Oligarch.