An extended Heckscher-Ohlin model with transaction costs and technological comparative advantage

Summary. This paper introduces technological differences and transaction costs into the Heckscher-Ohlin (HO) model and examines the HO theorem, factor price equalization theorem, the Stolper-Samuelson theorem and the Rybczynski theorem. It shows that the HO theorem can be refined, and that the factor price equalisation theorem, the Stolper-Samuelson Theorem and the Rybczynski theorem do not always hold. It also shows that transaction costs play an important role in determining the equilibrium trade pattern.Received: 26 February 2001, Revised: 27 May 2003, JEL Classification Numbers: F10, F11. Correspondence to: Wenli ChengWe are grateful for comments from the anonymous referee, Hugo Sonnenschein, Guangzhen Sun and participants of the seminar on this paper at University of Washington.     

Backward Induction and the Game-Theoretic Analysis of Chess

This paper scrutinizes various stylized facts related to the minmax theorem for chess. We first point out that, in contrast to the prevalent understanding, chess is actually an infinite game, so that backward induction does not apply in the strict sense. Second, we recall the original argument for the minmax theorem of chess—which is forward rather than backward looking. Then it is shown that, alternatively, the minmax theorem for the infinite version of chess can be reduced to the minmax theorem of the usually employed finite version. The paper concludes with a comment on Zermelo's (1913) nonrepetition theorem. Journal of Economic Literature Classification Number: C72.     

Status Quo Bias in Bargaining: An Extension of the Myerson-Satterthwaite Theorem with an Application to the Coase Theorem

We generalize the Myerson-Satterthwaite theorem to study inefficiencies in bilateral bargaining over a divisible good, with two-sided private information on the valuations. For concave quasi-linear preferences, the ex ante most efficient Bayes equilibrium of any mechanism always exhibits a bias toward the status quo. If utility functions are quadratic every Bayes equilibrium is ex post inefficient, with the expected amount of trade biased toward the disagreement point. In other words, for the class of preferences we study, there is a strategic advantage to property rights in the Coase bargaining setup in the presence of incomplete information. Journal of Economic Literature Classification Numbers: C78, D23, D62, D82.     

Advanced Industrial Economics,by Stephen Martin

The author presents a simple proof of a property of the method of least squares variously known as the FWL, the Frisch-Waugh-Lovell, the Frisch-Waugh, or the decomposition theorem.     

Existence and Welfare Properties of Equilibrium in an Exchange Economy with Multiple Divisible and Indivisible Commodities and Linear Production Technologies

In this paper we consider a class of economies with a finite number of divisible commodities, linear production technologies, and indivisible goods and a finite number of agents. This class contains several well-known economies with indivisible goods and money as special cases. It is shown that if the utility functions are continuous on the divisible commodities and are weakly monotonic both on one of the divisible commodities and on all the indivisible commodities, if each agent initially owns a sufficient amount of one of the divisible commodities, and if a “no production without input”-like assumption on the production sector holds, then there exists a competitive equilibrium for any economy in this class. The usual convexity assumption is not needed here. Furthermore, by imposing strong monotonicity on one of the divisible commodities we show that any competitive equilibrium is in the core of the economy and therefore the first theorem of welfare also holds. We further obtain a second welfare theorem stating that under some conditions a Pareto efficient allocation can be sustained by a competitive equilibrium allocation for some well-chosen redistribution of the total initial endowments. Journal of Economic Literature Classification Numbers: D4, D46, D5, D51, D6, D61.     

Comments on John Roemer’s first welfare theorem of market socialism*

Abstract

In this comment on John Roemer’s “theory of cooperation with an application to market socialism”, I extend Roemer’s first welfare theorem of market socialism in two directions. First, I prove a version of the theorem that deals with non-linear taxation. Second, I offer a connection between the theorem and welfare equality. I then argue that the models and questions that Roemer contribute to bring to welfare economics raise questions that go much beyond the research on socialist ethics. In particular, I introduce a positive model of moral behavior that yields different predictions from Roemer’s Kantian model. I conclude that individual morality should become a central concern of welfare economists.     

The folk theorem revisited

Summary. This paper develops a simple instant-response model of strategic behavior where players can react instantly to changing circumstances, but at the same time face some inertia after changing action. The framework is used to reconsider the folk theorem and, in particular, the role of the key condition of dimensionality. In contrast to the discounted case in discrete time, here low dimensionality may help support equilibria because it is more difficult for a potential deviator or punisher to defect beneficially.Received: 20 November 2003, Revised: 1 November 2004, JEL Classification Numbers: C72, C73.Thanks are due to an anonymous referee for detailed comments.     

A general impossibility result on strategy-proof social choice hyperfunctions

A social choice hyperfunction picks a non-empty set of alternatives at each admissible preference profile over sets of alternatives. We analyze the manipulability of social choice hyperfunctions. We identify a domain D^λ of lexicographic orderings which exhibits an impossibility of the Gibbard–Satterthwaite type. Moreover, this impossibility is inherited by all well-known superdomains of D^λ. As most of the standard extension axioms induce superdomains of D^λ while social choice correspondences are particular social choice hyperfunctions, we are able to generalize many impossibility results in the literature.     

Equilibrium number of firms and economic welfare in a spatial price discrimination model

We examine welfare implications of the equilibrium number of entering firms in a spatial price discrimination model. In contrast to Salop [Salop, S., 1979. Monopolistic competition with outside goods. Bell Journal of Economics 10, 141–156.], the equilibrium number of firms can be either excessive or insufficient from the normative viewpoint.     

The influence of pension funds on corporate governance

Although pension funds have gained importance in the last two decades, their role has not been described in detail by economic models. This article focuses on the scope of these institutional investors when they are not satisfied with a management team of a company in which the pension fund holds a block of shares. Stock holdings by pension funds are largely dispersed. Therefore, any intervention by pension funds in corporate governance requires the formation of a coalition of pension funds. The realization of a coordinated intervention, in turn, is subject to the problems related to the provision of public goods, such as free riding. We find that the stock dispersion and the combined share of pension funds, coordination costs and the attractiveness of the exit option are relevant factors for determining the probability of the success of interventions.     

Linear Inequality Methods to Enforce Partnerships under Uncertainty: An Overview

We review different (generic) conditions on stochastic outcome functions to enforce either efficient or nearly efficient partnerships. Their logical relationship is explored. Two kinds of conditions are considered. However, the property for an action profile to be “compatible” plays a crucial role in both kinds. Also, two kinds of enforcement mechanisms are considered: enforcement through utility transfers and enforcement through repetition.Journal of Economic LiteratureClassification Numbers: D2, D7.     

Information Disclosure as Environmental Regulation: A Theoretical Analysis

Governments around the world are beginning to embrace a new form of environmental regulation – mandatory disclosure of information. While information disclosure programs appear to have an impact on subsequent firm behavior – often resulting in lower levels of pollution – little is known about the costs and benefits of these programs and whether or not they enhance social welfare. This paper presents a simple bargaining model where mandatory information disclosure is used to overcome a lack of information on the part of the public. We characterize the conditions under which information disclosure will lead to a reduction in emissions, and ultimately, the conditions under which it will enhance social welfare. Several extensions of the model are briefly explored, including the effect of two sources of pollution – only one of which is subject to information disclosure. This paper was prepared while V. Santhakumar was a Visiting Scholar at the Vanderbilt Center for Environmental Management Studies, Vanderbilt University.     

The likelihood of dubious election outcomes

Summary. A disturbing phenomenon in voting, which causes most of the problems as well as the interest in the field, is that election outcomes (for fixed preferences) can change with the way the ballots are tallied. This causes difficulties because with each possible choice, some set of voters can be dubious about whether it is the “correct” one. But, how likely are these settings allowing multiple election outcomes? By combining properties of the geometry of voting developed by Saari with a analytic-geometric technique created by Schlafli, we determine the likelihood that a three candidate election can cause these potentially dubious outcomes. Received: April 11, 1997; revised version: November 12, 1997     

A “Super” Folk Theorem for dynastic repeated games

We analyze dynastic repeated games. These are repeated games in which the stage game is played by successive generations of finitely-lived players with dynastic preferences. Each individual has preferences that replicate those of the infinitely-lived players of a standard discounted infinitely-repeated game. Individuals live one period and do not observe the history of play that takes place before their birth, but instead create social memory through private messages received from their immediate predecessors. Under mild conditions, when players are sufficiently patient, all feasible payoff vectors (including those below the minmax of the stage game) can be sustained by sequential equilibria of the dynastic repeated game with private communication. In particular, the result applies to any stage game with n  ≥  4 players for which the standard Folk Theorem yields a payoff set with a non-empty interior. We are also able to characterize fully the conditions under which a sequential equilibrium of the dynastic repeated game can yield a payoff vector not sustainable as a subgame perfect equilibrium of the standard repeated game. For this to be the case it must be that the players’ equilibrium beliefs violate a condition that we term “inter-generational agreement.” A previous version of this paper was circulated as Anderlini et al. (2005). We are grateful to Jeff Ely, Leonardo Felli, Navin Kartik, David Levine, Stephen Morris, Michele Piccione, Andrew Postlewaite, Lones Smith and to seminar audiences at Bocconi, Cambridge, CEPR-Guerzensee, Chicago, Columbia, Edinburgh, Essex, Georgetown, Leicester, LSE, Northwestern, Oxford, Rome (La Sapienza), Rutgers, SAET-Vigo, Stanford, SUNY-Albany, UCL, UC-San Diego, Venice and Yale for helpful feedback.     

Ordinal Efficiency and the Polyhedral Separating Hyperplane Theorem

We study problems in which each of finitely many agents must be allocated a single object, based on the agents' rankings of pure outcomes. A random allocation is ordinally efficient if it is not ordinally dominated in the sense of there being another random assignment that gives each agent a first order stochastically dominant distribution of objects. We show that any ordinally efficient random assignment maximizes the sum of expected utilities for some vector of vNM utility functions that are consistent with the given ordinal preferences. One method of proof uses a new version of the separating hyperplane theorem for polyhedra. Journal of Economic Literature Classification Numbers: C78, D61.     

A tangent cone analysis of smooth preferences on a topological vector space

Summary. A theory of smooth preferences on a locally convex, topological vector space is developed by characterizing the existence of a unique supporting hyperplane to a convex set at a given point. The results are expressed in terms of the tangent cone. A new concept of properness, called strict properness, is also proposed to characterize the existence of a strictly supporting hyperplane to a convex set at a given point. We say that strict preferences are properly smooth at a given point provided that they are smooth, strictly proper, and the secant cone has a non-empty interior. Proper smoothness is broadly consistent with Gâteaux-differentiable utility even when the preference domain has an empty interior. Yet proper smoothness also allows the possibility of incomplete or intransitive preferences. This concept has immediate applications to optimization and equilibrium theory. For example, we demonstrate a version of the Second Welfare Theorem for agents with properly smooth preferences.Received: 25 September 2002; revised version: February 5, 2003, Revised: 5 February 2003, JEL Classification Numbers: D46, D51.     

Coalition-proof Bertrand equilibria

Summary. This paper examines the coalition-proof Nash equilibria of a Bertrand model of price competition where firms supply all demand. When firms are asymmetric we prove existence and provide a sufficient condition for uniqueness. For symmetric firms, we show that an equilibrium is necessarily unique. We also examine whether this unique equilibrium outcome is implementable through a sequential move game where the firms take turns at announcing prices. Finally we examine the limiting property of such equilibria as the number of firms go to infinity.Received: 20 March 2002, Revised: 5 August 2003JEL Classification Numbers: D43, D41, L13.Correspondence to: Kunal SenguptaWe are deeply indebted to an anonymous referee for very helpful and incisive comments that led to substantial improvements in the paper. We also gratefully acknowledge the hospitality of the Department of Finance, Hong Kong University of Science and Technology where much of the work on this paper was carried out.     

Subbalanced games and bargaining sets

Summary. In defining a bargaining set, it is desirable to require that a counterobjecting coalition has a non-empty intersection with the objecting coalition. We refer to this as the intersection property and define a bargaining set, MB ₁, that imposes this property on a variant of the bargaining set defined by Vohra (1991). To study the existence of MB ₁, a new version of the KKM theorem is proposed and the concept of a subbalanced game is introduced. We also provide conditions for the non-emptiness of MB ₂, a bargaining set introduced by Zhou (1994) which imposes the additional restriction that the objecting coalition not be a subset of the counterobjecting coalition.Received: 9 December 2002, Revised: 6 December 2004, JEL Classification Numbers: C71. Correspondence to: Chih ChangThe authors are very grateful to a referee who proposes many helpful comments on both substantive matters and exposition which much improve the paper.     

Preference profiles sustaining Arrow's theorem

Summary. Arrow's theorem is proved on a domain consisting of two types of preference profiles. Those in the first type are “almost unanimous": for every profile some alternative x is such that the preferences of any two individuals merely differ in the ranking of x, which is in one of the first three positions. Profiles of the second type are “appropriately heterogeneous”, with preferences similar to those generating the “paradox of voting”. Received: March 9, 2000; revised version: June 7, 2001     

Reciprocity and voting

In this paper we present a two-period model where a left-wing and a right-wing political party are solely interested in the policies they pursue. We assume that voters display reciprocal behavior. By contrast, political parties are not motivated by reciprocity. We show that reciprocity may have dramatic consequences for models of voting behavior. The incentive to be kind to the median voter may ensure that a position closer to the median voter's position is adopted even if political parties are not directly interested in being elected and cannot commit to a political stance during an election campaign. Moreover, reciprocity increases incumbency advantages.