Substantive Rationality and Backward Induction

S. Modica and A. Rustichini (1994, Theory and Decision37, 107–124) provided a logic for reasoning about knowledge where agents may be unaware of certain propositions. However, their original approach had the unpleasant property that nontrivial unawareness was incompatible with partitional information structures. More recently, Modica and Rustichini (1999, Games Econ. Behav.27, 265–298) have provided an approach that allows for nontrivial unawareness in partitional information structures. Here it is shown that their approach can be viewed as a special case of a general approach to unawareness considered by R. Fagin and J. Y. Halpern (1988, Artificial Intelligence34, 39–76). Journal of Economic Literature Classification Numbers: D80, D83.     

Evolution and Mixed Strategies

Selten (1980, J. Theoret. Biol., 84, 93–101) showed that no mixed equilibria are evolutionarily stable when players can condition their strategies on their roles in a game. Alternatively, Harsanyi's (1973, Int. J. Game Theory, 2, 1–23) purification argument implies that all mixed equilibria are approximations of strict, and hence evolutionarily stable, equilibria of games with slightly perturbed payoffs. This paper reconciles these results: Approximations of mixed equilibria have high invasion barriers, and hence are likely to persist, when payoff perturbations are relatively important and role identification is relatively noisy. When payoff perturbations are unimportant and role identification is precise, approximations of mixed equilibria will have small invasion barriers and are unlikely to persist. Journal of Economic Literature Classification Numbers: C70, C78.     

Non-Walrasian Labor Markets and Real Business Cycles

The standard real business cycle literature mainly focuses on Walrasian models designed to fit the U.S. institutional framework. Differences between the United States and Europe, mostly evident in the labor market, suggest that a purely Walrasian model may be inappropriate for the study of European business cycles. I present a stochastic version of the dynamic general equilibrium model of Daveri and Maffezzoli (2000, “A Numerical Approach to Fiscal Policy, Unemployment and Growth in Europe,” Econometrics and Applied Economics Working Paper 2000-4, IEP, Università Bocconi), where unemployment is generated by monopolistic unions, and calibrate it to reproduce several long-run features of the Italian and U.S. economies. This framework is then compared with an indivisible labor model built on Hansen (1985, Journal of Monetary Economics16, 309–328) and Rogerson and Wright (1988, Journal of Monetary Economics22, 501–515). I focus on the impulse response functions, the standard business cycle statistics, and the ability to reproduce the cyclical components of the main macroeconomic variables. The main results are as follows: (i) the impulse response functions of the monopoly union (MU) model show a higher degree of overall persistence; (ii) the business cycle statistics are similar; (iii) the MU model enjoys a statistically significant advantage in reproducing the Italian business cycle, but not that of the United States. Journal of Economics Literature Classification Numbers: E32, E24, J23, J51.     

The core of an m-sided assignment game

A generalization of Shapley-Shubik's (1972, Int. J. Game Theory, 1, 111–130) housing market in which there are m types of agents instead of two is considered. These games can have empty cores. A subclass of such games with nonempty cores is presented.     

The Role of Absolute Continuity in “Merging of Opinions” and “Rational Learning”

D. Blackwell and L. Dubins (1962, Ann. Math. Statist.38, 882–886) showed that opinions merge when priors are absolutely continuous. E. Kalai and E. Lehrer (1993, Econometrica61, 1019–1045) use this result to show that players in a repeated game eventually play like a Nash equilibrium. We provide an alternative proof of merging of opinions that clarifies the role of absolute continuity while casting doubt on the relevance of the result. Persistent disagreement, the opposite of merging, allows the construction of a sequence of mutually favorable “bets.” By a law of large numbers, both agents are certain they will win these bets on average. This certain disagreement violates absolute continuity. Journal of Economic Literature Classification Numbers: C11, C69, C72, D83.     

Information, Incentives, and Option Value: The Silicon Valley Model

This paper analyzes the Silicon Valley model as a novel economic institution in the domain of technological product system innovation. We analyze the informational relationship as well as governance relationships between venture capitalists and a cluster of entrepreneurial firms. The informational conditions that make the Silicon Valley model efficient are identified, leading to an understanding of the significance of standardized interfaces, modularization, and information encapsulation. We then examine the governance/incentive aspect by integrating the models of Aoki (Towards a Comparative Institutional Analysis, Cambridge, MA: MIT Press, 2001) and Baldwin and Clark (Design Rules—Vol. 1: The Power of Modularity, Cambridge, MA: MIT Press, 2000). The paper concludes by evaluating the applicability of the model to other localities and industries. J. Comp. Econ., December 2002, 30(4), pp. 759–786. Department of Economics, Stanford University, Stanford, California 94305, and RIETI, 1-3-1 Kasumigaseki, Chiyoda-ku, Tokyo 100-0013, Japan; and Faculty of Economics, Toyo University, 5-28-20 Hakusan, Bunkyo-ku, Tokyo 112-8606, Japan. © 2002 Association for Comparative Economic Studies. Published by Elsevier Science (USA). All rights reserved.Journal of Economic Literature Classification Numbers: D21, L23, O32, P51, P52.     

Projecting soviet energy requirements using a vintage capital model

A Solow-type vintage capital model with capital utilization is used to estimate the long-term average embedded rate of improvement in energy efficiency of Soviet fixed-capital commissionings: 2.6% per year. The results are combined with planned Soviet capital stock growth to forecast cap Soviet energy requirements through 1990. The implied Soviet capital utilization goals call for greater energy savings than have been achieved in the past. The results also identify an upper bound for rates of hidden inflation contained in Soviet capital commissionings data. It appears an estimate such as S. Cohn's 1% (Soviet Stud. 33, 2:269–299, 1981) is far more likely than A. Nove's 6 to 7% (Soviet Stud. 33, 1:142–145, 198 1).     

Evolution in Finitely Repeated Coordination Games

I apply a version of Kandori et al. (1993, Econometrica, 61, 29–56) and Young's (1993, Econometrica, 61, 57–84) evolutionary dynamic to finitely repeated coordination games. The dynamic is modified by allowing mutations to affect only off path beliefs. I find that repetition within a match leads agents to sacrifice current payoffs in order to increase payoffs in later stages. As a consequence, evolution leads to (almost) efficiency. Journal of Economic Literature Classification Number: C79.     

The inequality–growth nexus in the short and long run: Empirical evidence from China

This paper argues that the conventional approach of data averaging is problematic for exploring the growth–inequality nexus. It introduces the polynomial inverse lag (PIL) framework so that the impacts of inequality on investment, education, and ultimately on growth can be measured at precisely defined time lags. Combining PIL with simultaneous systems of equations, we analyze the growth–inequality relationship in postreform China, finding that this relationship is nonlinear and is negative irrespective of time horizons. Journal of Comparative Economics 34 (4) (2006) 654–667.     

Will the Future Be Better Tomorrow? The Growth Prospects of Transition Economies Revisited

The favored approach in the literature on the growth prospects for transition economies is based on specifications from Barro (1991) and Levine and Renelt (1992). This paper examines this literature critically by identifying and testing for the underlying assumptions. Our main finding is that this approach performs poorly in the transition context. Our results indicate that, almost a decade after the transition began, the former centrally planned economies are still structurally different from market economies at similar levels of per capita income. The legacies of central planning are more resilient than previously thought. J. Comp. Econ., December 2001, 29(4), pp. 663–676. University of Newcastle, Newcastle upon Tyne, and Centre for Economic Policy Research, London, United Kingdom; and The William Davidson Institute at the University of Michigan, Ann Arbor, Michigan. © 2001 Elsevier ScienceJournal of Economic Literature Classification Numbers: E23, O40, P20, P52.     

Economic theory and comparative economic systems: A partial literature survey

This paper surveys the more abstract literature on the newly developing theory of economic systems. Works from both pure economic theory and comparative economics are discussed. The principal thesis is that, while these two literatures have developed rather independently, they share an amazingly similar framework. What is emerging is a full-fledged theory of economic systems. Emphasis is placed on the three component structures of economic systems—the information, decision-making, and incentive structures–and the normative evaluation of economic systems. J. Comp. Econ., Dec. 1978, 2(4), pp. 355–381. Wayne State University, Detroit, Michigan. Journal of Economic Literature Classification Numbers: 024,053.     

Non-Additive Beliefs and Strategic Equilibria

This paper studies n-player games where players' beliefs about their opponents' behaviour are modelled as non-additive probabilities. The concept of an “equilibrium under uncertainty” which is introduced in this paper extends the equilibrium notion of Dow and Werlang (1994, J. Econom. Theory64, 305–324) to n-player games in strategic form. Existence of such an equilibrium is demonstrated under usual conditions. For low degrees of ambiguity, equilibria under uncertainty approximate Nash equilibria. At the other extreme, with a low degree of confidence, maximin equilibria appear. Finally, robustness against a lack of confidence may be viewed as a refinement for Nash equilibria. Journal of Economic Literature Classification Numbers: C72, D81.     

Probability Logic for Type Spaces

Using a formal propositional language with operators “individual i assigns probability at least α” for countably many α, we devise an axiom system which is sound and complete with respect to the class of type spaces in the sense of Harsanyi (1967–1968, Management Science, 14 159–182). A crucial inference rule requires that degrees of belief be compatible for any two sets of assertions which are equivalent in a suitably defined natural sense. The completeness proof relies on a theorem of the alternative from convex analysis, and uses the method of filtration by finite sub-languages. Journal of Economic Literature Classification Numbers: D80, D82.     

Debt Overhang and Barter in Russia

This paper develops a model in which costly barter is used by firms to protect working capital against outside creditors. Although creditors could agree to postpone debt payments and to avoid destroying the firm's working capital, if the firm cannot commit not to divert cash ex post, the outcome of renegotiation still provides ex ante incentives to use barter. We show that the greater is the debt overhang, the more likely is the use of barter, with and without the possibility of debt restructuring. Empirical evidence from Russian firm-level data is shown to be consistent with the model's predictions. J. Comp. Econ., December 2002, 30(4), pp. 635–656. New Economic School, CEFIR, CEPR, and WDI, Nakhimovsky pr. 47, Moscow 117418, Russia; Sloan School of Management, M.I.T., 50 Memorial Drive, Cambridge, Massachusetts 02142; and ROSES–CNRS and CEPR, Maison des Sciences économiques, 106–112 Bd de l'Hôpital, 75647 Paris Cedex 13, France. © 2002 Association for Comparative Economic Studies. Published by Elsevier Science (USA). All rights reserved.Journal of Economic Literature Classification Numbers: E41, G34, P31.     

On optimality in collective institutional choice

Conditions are investigated under which democratic choice of the division of land between collective and “private” use and of the distribution of collective income between “needs” and “work” payments will produce a Pareto-optimal land allocation and optimal collective labor incentives. Sen's optimal rule for the degree of “needs” distribution is found to result from self-interested voting on this parameter when the distribution of labor inputs is unskewed or when votes are weighted by labor contributions. This in turn increases the optimality of land allocation, which can be further improved by a simple rental scheme. J. Comp. Econ., Dec. 1981, 5(4), pp. 392–403. Brown University, Providence, Rhode Island.     

Optimality and Robustness of the English Auction

In Milgrom and Weber's (1982, Econometrica50, 1089–1122) “general symmetric model,” under a few additional regularity conditions, the English auction maximizes the seller's expected profit within the class of all posterior-implementable trading procedures and fails to do so among all interim incentive-compatible procedures in which “losers do not pay.” These results suggest that appropriate notions of robustness and simplicity which imply the optimality of the English auction for a risk-neutral seller must impose “bargaining-like” features on the set of feasible trading mechanisms. Journal of Economic Literature Classification Numbers: D44, D82.     

Rent Seeking and Government Ownership of Firms: An Application to China''s Township–Village Enterprises

Using its control of regulated inputs, a government agency extracts rents from a manager who undertakes an investment. Such government rent-seeking activity leads to a typical hold-up problem. Government ownership serves as a second-best commitment mechanism, through which the government agency will restrain itself from the rent-seeking activity and may even offer the manager assistance in the form of tax breaks and subsidies. This mechanism works at a cost, however, as government ownership also compromises ex post managerial incentives and creates distortion in resource allocation. Nevertheless, government ownership Pareto dominates private ownership under certain conditions. These conditions correspond to a host of stylized empirical observations concerning local-government-owned firms, i.e., township–village enterprises, during China's transition to a market economy.J. Comp. Econ., June 2002 30(4), pp. 787–811. Department of Economics, University of Illinois at Urbana–Champaign, 328 David Kinley Hall, Urbana, Illinois 61801. © 2002 Association for Comparative Economic Studies. Published by Elsevier Science (USA). All rights reserved.Journal of Economic Literature Classification Numbers: D23, D72, L33.     

p-Best response set and the robustness of equilibria to incomplete information

In this paper, we use p-best response sets—a set-valued extension of p-dominance—in order to provide a new sufficient condition for the robustness of equilibria to incomplete information: if there exists a set S which is a p-best response set with , and there exists a unique correlated equilibrium μ^* whose support is in S then μ^* is a robust Nash equilibrium.     

Efficiency Wages and Work Incentives in Urban and Rural China

This paper examines incentive-wage effects for production and for managerial/technical workers in both urban and rural Chinese nonagricultural enterprises. We report strong evidence of productivity-enhancing wage behavior among enterprises in all ownership categories. There is also evidence that firms paying higher efficiency wages experience less shirking among their employees. We find that the profit-maximizing potential of incentive-wage setting is not fully exploited, although there is weak evidence that joint ventures come closer to profit-maximizing behavior at this margin of wage/employment behavior than do collectives or state-owned enterprises. J. Comp. Econ., December 2001, 29(4), pp. 645–662. The Ohio State University, 1945 North High St., Columbus, OH 43210 and University of Hawaii at Manoa, Honolulu, Hawaii 96822. © 2001 Elsevier ScienceJournal of Economic Literature Classification Numbers: P23, J31, O15.