Learning aspiration in repeated games

We study infinitely repeated symmetric 2×2 games played by bounded rational agents who follow a simple rule of thumb: each agent continues to play the same action if the current payoff exceeds the average of the past payoffs, and switches to the other action with a positive probability otherwise. By applying the stochastic approximation technique, we characterize the asymptotic outcomes for all 2×2 games. In the prisoners’ dilemma game, for example, the players cooperate in the limit if and only if the gain from defecting against cooperation is “modest.”     

International immigration and economic welfare in an efficiency wage model: The co-existence case of both legal and illegal foreign workers

Abstract. In the developed countries some native workers are unemployed while there exist illegal unskilled (legal skilled) foreign workers who are complementary to (substitutable for) natives and their wages are usually lower than (equal to) that of natives. Reflecting this situation, we introduce two types of immigrant in an efficiency wage model. It is shown that domestic government should exclude illegal foreign workers but welcome legal ones if the total number of illegal immigrants is small enough and well controlled. On the other hand, legal immigration should be restricted if the flood of illegal immigration is out of control.     

Supply chain quality management practices and performance: An empirical study

This study proposed a conceptual framework to study the relationships among three dimensions of supply chain quality management (SCQM) – in-house quality management practices (internal QM), interaction for quality with suppliers on the upstream side of supply chain (upstream QM), and interaction for quality with customers on the downstream side of supply chain (downstream QM) – and their impact on two types of quality performance (conformance quality, and customer satisfaction). Survey data were collected from 238 plants in three industries across eight countries and structural equation modeling was used to test this framework. The results indicate a dominant role of the internal QM in SCQM which has a positive impact on the other SCQM dimensions and two types of quality performance. Downstream QM is found to mediate the relationship between internal QM and customer satisfaction, while there is a lack of direct impact of upstream QM on either type of quality performance.     

Voracity, growth, and welfare

This paper explores some implications of the comparison between feedback Nash and Stackelberg equilibria for growth and welfare in a ‘voracity’ model. We show that, as compared to the Nash equilibrium, the Stackelberg equilibrium involves a lower growth rate, while it leaves both the leaders and the followers better off, i.e., the Stackelberg equilibrium is Pareto superior to the Nash equilibrium.     

Uniqueness of equilibrium for smooth multistage concave games

Smooth, noncooperative, multistage, concave games are formulated so that a new uniqueness condition—based on the Poincaré-Hopf theorem—can be applied. The new condition is the weakest to appear in the uniqueness literature. The uniqueness subgame perfect equilibrium is obtained and examples are given.     

Evolution in mechanisms for public projects

Summary This paper considers the explicit, real time dynamic processes in which cooperation emerges in a class ofbinary decision mechanisms, each of which determines funding for a public project. This class includes the Voluntary Contribution and the Majority Voting mechanisms. The population is subject to turnover so that new individuals enter society with possibly different beliefs about the future evolution of societal behavior than their predecessors. Individuals in this society maximize their discounted expected utilities. Due to the frequent turnover, however, these expectations may not be mutually consistent. Nevertheless, we find, for each mechanism, the nonempty set of the parameters for which the behavior pattern starting from states with nonprovision is absorbed into states with full provision with probability one. Moreover, for a sufficiently large population, outcomes with full provision are absorbing states if and only if certain types of voting mechanisms are used.We wish to thank an anonymous referee for valuable comments. We have also benefitted from the helpful comments of Srihari Ghovindan, Peter Linhart, George Mailath, Stephen Morris, Roy Radner, Rafael Rob, Nicholas Yannelis, and numerous seminar participants.     

A THEORY OF MONEY AND MARKETPLACES*

This article considers an infinitely repeated economy with divisible fiat money. The economy has many marketplaces that agents choose to visit. In each marketplace, agents are randomly matched to trade goods. There exist a variety of stationary equilibria. In some equilibrium, each good is traded at a single price, whereas in another, every good is traded at two different prices. There is a continuum of such equilibria, which differ from each other in price and welfare levels. However, it is shown that only the efficient single‐price equilibrium is evolutionarily stable.     

A decomposition of gains from trade in a differentiated oligopoly

Constructing a two-country oligopolistic model with product differentiation, this paper revisits welfare effects of free trade. The hybrid of procompetitive and variety expansion effects means that trade liberalization has definite benefits for the consumer, while it is contingent whether it is beneficial to oligopolistic firms and national welfare. We illustrate how these two effects interactively affect the possibility of gains from trade with simple diagrams.     

Environmental policies in a differentiated oligopoly revisited

Constructing a model of polluting oligopoly with product differentiation, we consider how product differentiation, together with the presence and absence of free entry, affects optimal pollution tax/subsidy policies. The sign of the short- and long-run optimal pollution taxes are highly sensitive to the parameter measuring product differentiation as well as the presence of free entry. How they are affected by a change in product differentiation, which is not addressed in the existing literature, is also made clear.