Matching with noise and the acceptance curse

This paper explores matching with both search and information frictions. Specifically, everyone observes only a noisy signal of the true type of any potential mate. In this context, matching decisions must incorporate not only information about a partner's attribute conveyed by the noisy signal, but also—as in the winner's curse in auction theory—information about a partner's type contained in his or her acceptance decision.We show that there exists an equilibrium exhibiting a stochastic positive assorting of types, generalizing [Becker, J. Polit. Economy 81 (1973) 813-846]. In equilibrium, selection is adverse: being accepted reduces an agent's estimate of a potential partner's type, a phenomenon that we call the acceptance curse effect.     

FIRST IN VILLAGE OR SECOND IN ROME?*

Though individuals prefer high‐quality peers, there are advantages to being high up in the pecking order within a group. In this environment, sorting of agents yields an overlapping interval structure in the type space. Segregation and mixing coexist in a stable equilibrium. With transfers, this equilibrium corresponds to a competitive equilibrium where agents bid for relative positions and entails less segregation than the efficient allocation. More egalitarianism within organizations induces greater segregation across organizations, but can improve the allocation efficiency. Since competition is most intense for intermediate talent, effective personnel policies differ systematically between high‐quality and low‐quality organizations.     

Learning and Efficiency with Search Frictions

This paper studies the allocative efficiency in a Moscarini (2005)-type equilibrium search environment with learning. It is shown that the stationary equilibrium is efficient if and only if the Hosios condition holds no matter whether learning is about firm-specific human capital or about general human capital. However, the stationary equilibrium can never be efficient if externalities exist from unemployment. In contrast, even with externalities, the stationary equilibrium can be efficient under some modified Hosios condition if there is no uncertainty (standard Mortensen and Pissarides (1994)-type equilibrium search environment). The key intuition is that the equilibrium can only be efficient if firm-worker matching is formed and terminated efficiently.     

Reciprocity and matching frictions

The ability of search and matching models to replicate stylized facts—such as volatilities and correlations—has been a center of attraction over the last couple of years. This paper introduces the Akerlof (Q J Econ 97:543–569, 1982) fair wage approach into an endogenous separation search and matching model. Within a RBC general equilibrium context, we show that the efficiency wage model outperforms its benchmark Nash bargaining pendant. In particular, the model generates the empirically observed volatilities in response to a productivity shock and replicates a strong Beveridge curve. Furthermore, we derive the Solow condition in a search environment and discuss the interactions of search and efficiency wage frictions. We show that search frictions create a wedge between the optimal wage/effort solution in the search and the competitive equilibrium. The efficiency wage consideration adds an additional margin to the firm's decision problem. As effort varies over the cycle, it changes the firm's optimal response to exogenous disturbances and amplifies the response to shocks.     

基于政府型强互惠的共享意义制度化的均衡与内卷

政府型强互惠将那些共享意义的习惯、习俗以具体的形式固定下来,实现制度化。当制度演化收敛于某一均衡点时,群体成员对于现行的规范体系不再有异动的要求,于是制度在均衡状态下表现为被简单的遗传复制,从而强互惠的政府就无须再对这些制度的强互惠投入成本,制度演化也自发地达成了均衡状态。在自发式内卷和强互惠式内卷两种力量共同作用下,制度会呈现长期低效率的锁定状态。     

Stackelberg Beats Cournot — On Collusion and Efficiency in Experimental Markets

We report on an experiment designed to compare Stackelberg and Cournot duopoly markets with quantity competition. We implement both a random matching and a fixed-pairs version for each market. Stackelberg markets yield, regardless of the matching scheme, higher outputs than Cournot markets and, thus, higher efficiency. For Cournot markets, we replicate a pattern known from previous experiments. There is stable equilibrium play under random matching and partial collusion under fixed pairs. We also find, for Stackelberg markets, that competition becomes less intense when firms remain in pairs but we find considerable deviations from the subgame perfect equilibrium prediction which can be attributed to an aversion to disadvantageous inequality.     

Tuition fees and social segregation: lessons from a natural experiment at the University of Paris 9-Dauphine

Using a natural experiment, a sharp rise in tuition fees in some of the programmes at the University of Paris 9-Dauphine, we study the impact of tuition fees on students’ pathways, and outcomes. We apply an optimal matching method to the national database of students’ registrations (SISE) to define a typology of pathways. We then use a nonordered multinomial logit model to evaluate the impact of the rise in tuition fees on the types of pathways selected by the university. We show that there is a significant impact on these pathways. The increase in tuition fees reduces geographic and social mobility, thereby accentuating the phenomena of social segregation. Furthermore, contrary to what some of the studies assert, the rise does not appear to encourage greater effort: we find no impact on the graduation success rate.     

On the efficiency of ex ante and ex post pricing institutions

Summary This paper compares the performance of three pricing institutions in a decentralized matching model in which random matching occurs. In the first, sellers make public ex ante commitments to trade at pre-specified prices before matching occurs. In the second, the buyer and seller engage in an alternating offer bargaining game once a match has occurred. In the final pricing institution, one party is chosen at random to make a take it or leave it price offer. The steady state equilibrium with ex ante pricing pareto dominates the steady state equilibrium with ex post take it or leave it offers, which in turn pareto dominates the steady state equilibrium with alternating offers. As the discount factor goes to one, the equilibrium with ex ante pricing generates participation rates that tend toward the pareto efficient level. The ex post pricing institutions generate participation rates that are bounded away from efficient levels. The surplus loss associated with switching from ex ante pricing to take it or leave it offers is small when the discount factor is close to one. Contrary to many models of decentralized trade, ex post pricing institutions encourage too much search by buyers.The financial support of the Social Sciences and Humanities Research Council of Canada is gratefully acknowledged. The research for this paper was completed while the author was visiting the University of California at San Diego. The author thanks Douglas Gale for comments.     

Accounting for endogeneity in matching function estimation

We show that equilibrium matching models imply that standard estimates of the matching function elasticities are exposed to an endogeneity bias, which arises from the search behavior of agents on either side of the market. We offer an estimation method which, under certain structural assumptions about the process driving shocks to matching efficiency, is immune from that bias. Application of our method to the estimation of a basic version of the matching function using aggregate U.S. data from the Job Openings and Labor Turnover Survey (JOLTS) suggests that the bias can be quantitatively important.     

A graphic representation of the Nash and Lindahl equilibria in an economy with a public good

In an economy with a public good the noncooperative Nash equilibrium and the cooperative Lindahl equilibrium are represented graphically. The Nash equilibrium is shown to be non-optimal, while the Lindahl equilibrium is shown to be optimal. Simple stability analyses are undertaken. Finally, the two equilibria are compared. It appears that more public good will be allocated in the Lindahl than in the Nash equilibrium, and that in a sufficiently large economy a transition from a Nash to a Lindahl equilibrium will be advantageous for everyone.     

COMPETITIVE PRICING AND EFFICIENCY IN SEARCH EQUILIBRIUM*

We consolidate and generalize some results on price determination and efficiency in search equilibrium. Extending models by Rubinstein and Wolinsky and by Gale, heterogeneous buyers and sellers meet according to a general matching technology and prices are determined by a general bargaining condition. When the discount rate r and search costs converge to 0, we show that prices in all exchanges are the same and equal the competitive, market clearing, price. Given positive search costs, efficiency obtains iff bargaining satisfies Hosios' condition and r=0. When prices are set by third‐party market makers, however, we show that search equilibrium is necessarily efficient.     

The rise of cooperation in correlated matching prisoners dilemma: An experiment

Recently, there has been a Renaissance for multi-level selection models to explain the persistence of unselfish behavior in social dilemmas, in which assortative/correlated matching plays an important role. In the current study of a multi-round prisoners’ dilemma experiment, we introduce two correlated matching procedures that match subjects with similar action histories together. We discover significant treatment effects, compared to the control procedure of random matching. Particularly with the weighted history matching procedure we find bifurcations regarding group outcomes. Some groups converge to the all-defection equilibrium even more pronouncedly than the control groups do, while other groups generate much higher rate of cooperation, which is also associated with higher relative reward for a typical cooperative action. All in all, the data show that cooperation does have a much better chance to persist in a correlated/assortative-matching environment, as predicted in the literature. Electronic Supplementary Material Supplementary material is available in the online version of this article at . JEL Classification B52, C91, D74     

Is it better to be mixed in group lending?

This paper shows that, in a group‐lending scheme with joint liability, a microfinance institution can achieve a Pareto improvement by promoting negative assortative matching among borrowers. The main results are: (i) borrowers may be better off in heterogeneous groups; and (ii) a heterogeneous group equilibrium is possible when individual or homogeneous group equilibria do not exist.     

Fashion statement

We study bilateral matching under private information about agents' characteristics. Assortative matching is the only equilibrium outcome in the absence of private information. When an information friction is present, the matching process can be improved if a payoff-irrelevant variable which we term “fashion” is introduced. Informed agents choose to adopt fashion as a signaling device. If success in matching is observed, other agents can imitate the signal. Thus, for fashion to be useful, it must constantly change. If there are more than two types of agents, both “high” and “low” fashion are needed to facilitate assortative matching.     

Malinvaud on Keynes: reviewing: Edmond Malinvaud, The Theory of Unemployment Reconsidered, Basil Blackwell, Oxford, 1977; three lectures delivered for the Yrjo Jahnsson Foundation, Helsinki

This book is likely to have a great success. There is somethingin it to please everyone Walrasian equilibrium, unemploymentthat can be reduced by cutting real wages, unemployment thatcan be reduced by raising real wages, workers who prefer leisureto earnings, savings equal to investment and prices equal tomarginal cos—all presented in an ostensibly precise andelegant model. But the reader needs to keep his wits abouthim to follow the intricacies of the argument.     

策略均衡与制度效率——关于明清晋商委托代理制度的博弈解析

文章从博弈论的视角探讨了晋商内部治理结构中委托代理关系得以实施的两大保障机制——道德自律和惩戒机制。文章认为道义文化、参与人之间的策略互动与商帮集团的集体主义惩戒机制相互补充和加强,才很好地保障了晋商委托代理制度的有效实施和良好运转。在当时的条件下,晋商委托代理制度不仅实现了参与人之间的策略均衡,而且也使内部的制度安排与外部的社会环境相协调,从而很好地满足了制度安排的效率要求。因此,在建设社会主义市场经济过程中,道德文化与制度法规建设应当并重,人们普遍认同的各种商业习惯和行业惯例也应该得到尊重。     

Retraining the Unemployed in a Model of Equilibrium Employment

An equilibrium model of search and matching is developed to analyse the effects of retraining the unemployed on the market for skilled (or semi-skilled) workers. Versions of the model with free entry of vacancies and fixed numbers of jobs are considered. The latter environment exhibits multiple equilibria. While subsidized training (and enforced participation) is justified on employment grounds, it cannot be justified on efficiency grounds. Policies that, ceteris paribus , lower unemployment, also reduce the incentive to train. When such policies are introduced to a training economy, training may cease and unemployment can rise.     

Markets for contracts: experiments exploring the compatibility of games and markets for games

Summmary. The research explores the relationship between games and the economic environment in which the games might be embedded. The focus is on a market institution in which agents buy and sell rights to participate in a follow-on stage of strategic interaction. The central question posed concerns how two different types of processes, the game and the market, interact. The market converges to a competitive equilibrium that is consistent with the Nash equilibrium that obtains in the game, and the convergence of the market to a competitive equilibrium lags the convergence of behaviors in the game to a Nash equilibrium.     

Minorities and Endogenous Segregation

A theoretical analysis is proposed of segregation as an equilibrium phenomenon in a random-matching model of the marriage market. Otherwise identical partners possess a pay-off-irrelevant characteristic, colour. We derive the set of colour-blind equilibria and show that they are generically constrained inefficient. Equilibrium segregation strategies are strategies that condition actions on the type of match. It is shown that distributions of types exist such that segregation equilibrium pay-offs Pareto dominate colour-blind pay-offs. For other distributions, segregation also generates conflict, where the majority unambiguously gains, while the minority group may lose. Giving preferential treatment, that is, minority bias, can increase overall welfare.     

Can Federal Grants Mitigate Social Competition?

The European economic integration leads to increasing mobilityof factors, thereby threatening the stability of social transferprograms. This article investigates the possibility to achieveby means of voluntary matching grants both the optimal allocationof factors and the optimal level of redistribution in the presenceof factor mobility. We use a fiscal competition model a la Wildasin(1991) in which states differ in their technologies and preferencesfor redistribution. We first investigate a simple process inwhich the federal authority progressively raises the matchinggrants to the district choosing the lowest transfer and alldistricts respond optimally to the resulting change in transfersall around. This process is shown to increase efficiency ofboth production and redistribution. However, it does not guaranteethat all districts gain, nor that an efficient level of redistributionis attained. Assuming complete information among districts,we derive the willingness of each district to match the contributionof other districts and we show that the aggregate willingnessto pay for matching rates converges to zero when both the efficientlevel of redistribution and the efficient allocation of factorsare achieved. We then describe an adjustment process for thematching rates that will lead districts to the efficient outcomeand guarantee that everyone will gain. (JEL Classification:H23, H70)