The Debreu private ownership economy with complementary commodities and prices

Let E_p be a Debreu private ownership economy in which there are some complementary commodities. It means that all commodity bundles are contained in the proper subspace V   of commodity–space [R]l(l∈{1,2,…})${\mathfrak{[R]}}^l\left(l\in \left\{1,2,\dots \right\}\right)$. The production plans maximizing the producers' profits do not have to satisfy the dependency in the qualities of commodities seen in the consumers' plans. It may cause no-existence an equilibrium in economy E_p. The competitive leads, however, to adjustment the production plans to improve the consumers' satisfaction. The procedure of change the production system covering the consumers' requirements is presented. As a result, the model of the private ownership economy with complementary commodities and prices, being the simplification of the initial model, is elaborated. Consequently, the necessary condition for the existence of an equilibrium in the economy E_p is proved.     

Firm ownership and internal labour practices in a transition economy

One feature common to many post‐socialist transition economies is a relatively compressed wage structure in the state‐owned sector. We conjecture that this compressed wage structure creates weak incentives for work effort and worker skill acquisition and thus presents adverse consequences for the entire transition economy if a substantial portion of the labour force works in the state sector. We explore firm wage incentives and worker training, as well as other labour practices and outcomes, in a transition setting with matched firm and worker data collected in one of the largest provinces of Vietnam – Ho Chi Minh City. The Vietnamese state sector exhibits a compressed wage distribution in relation to privately owned firms with foreign ownership. State wage practices stress tenure over worker productivity and their wage policies result in flatter wage–experience profiles and lower returns to education. The state work force is in greater need of formal training, a need that is in part met through direct government financing. In spite of the opportunities for government financed training and at least partly due to inefficient worker incentives, state firms, by certain measures, exhibit lower levels of labour productivity. The private sector comparison group to state firms for all of these findings is foreign owned firms. The internal labour practices of foreign firms are more consistent with a view of profit‐maximizing firms operating with no political constraints. This is not the case for Vietnamese de novo private firms that exhibit much more idiosyncratic behaviour and whose labour practices are often indistinguishable from state firms. The exact reasons for this remain a topic of on‐going research yet we conjecture that various private sector constraints, including limited access to formal capital, play an important role.     

Structure of distortion equilibria and welfare in a multiregional economy

Summary We consider a convex economy with multiregions, each region facing different specific tax-subsidies. The model reduces to a model of a closed economy with an aggregate production set when there is a single region. It can also represent a model of an international economy through a reinterpretation of variables. We show that there is a unique path of allocations from a distortion equilibrium to the optimum that can be followed by proportionate changes of price distortions. Welfare monotonically increases as one follows the path towards optimum. The information on the structure of equilibria reduces multidimensional comparative statics into a one dimensional problem. The global Newton method of Smale can be used to follow the path in the direction of increasing welfare, allowing us to do comparative statics computationally. Global considerations directly show that, under a sign condition of the Jacobian of a tax function, piecemeal proportional reductions of price distortions improve welfare. A variation of the condition unifies other such conditions in the literature.I would like to thank William Brock, Takashi Fukushima, Tatsuo Hatta, Michael Jerison, Taesung Kim and referees of this Journal who provided me with many constructive comments and references. Previous versions of this paper were presented at the Far Eastern Meeting of the Econometric Society, the Midwestern Mathematical Economics Conference, and the International Conference of Korean Economists. I wish to thank the participants of these conferences for many nice comments. I also wish to thank Bruce Dieffenbach, Thad Mirer and editors of this journal who helped to streamline exposition.     

Local coordination and market equilibria

We reformulate the local stability analysis of market equilibria in a competitive market as a local coordination problem in a market game, where the map associating market prices to best-responses of all traders is common knowledge and well-defined both in and out of equilibrium. Initial expectations over market variables differ from their equilibrium values and are not common knowledge. This results in a coordination problem as traders use the structure of the market game to converge back to equilibrium. We analyse a simultaneous move and a sequential move version of the market game and explore the link with local rationalizability.     

Pareto-optimal Nash equilibria are competitive in a repeated economy

Consider a finite exchange economy first as a static, 1 period, economy and then as a repeated economy over T periods when the utility of each agent is the mean utility over T. A family of strategic games is defined via a set of six general properties the most distinct of which is the ability of agents to move commodities forward in time. Now consider Pareto optimal allocations in the T period economy which are also Nash equilibria in this family of strategic games. We prove that as T becomes large this set converges to the set of competitive utility allocations in the one period economy. The key idea is that a repetition of the economy when agents can move commodities forward in the time acts as a convexification of the set of individually feasible outcomes for player i holding all other strategies fixed.     

Recursive structure and equilibria in games with private monitoring

Summary. In each stage of a repeated game with private monitoring, the players receive payoffs and privately observe signals which depend on the players' actions and the state of world. I show that, contrary to a widely held belief, such games admit a recursive structure. More precisely, I construct a representation of the original sequential problem as a sequence of static games with incomplete information. This establishes the ground for a characterization of strategies and, hence, of behavior in interactive-decision settings where private information is present. Finally, the representation is used to give a recursive characterization of the equilibrium payoff set, by means of a multi-player generalization of dynamic programming. Received: February 11, 2002; revised version: July 22, 2002 RID="*" ID="*" I am very grateful to In-Koo Cho, Larry Epstein, Denis Gromb, Stephen Morris, Paolo Siconolfi, Lones Smith and Max Stinchcombe for several insights and suggestions. A referee's comments helped improving the exposition. Finally, I wish to thank the participants to the seminars at MEDS, NYU, Columbia University, Caltech, UCLA, University of Rochester, University of Texas-Austin, Northwestern Summer Microeconomics Conference 98, Summer in Tel Aviv 98, and NASM98.     

Creditworthiness and thresholds in a credit market model with multiple equilibria

Summary. The paper studies creditworthiness in a model with endogenous credit cost and debt constraints. Such a model can give rise to multiple candidates for steady state equilibria. We use new analytical techniques such as dynamic programming (DP) with flexible grid size to find solutions and to locate thresholds that separate different domains of attraction. More specifically, we (1) compute present value borrowing constraints and thus creditworthiness, (2) locate thresholds where the dynamics separate to different domains of attraction, (3) show jumps in the decision variable, (4) distinguish between optimal and non-optimal steady states, (5) demonstrate how creditworthiness and thresholds change with change of the credit cost function of the debtor and (6) explore the impact of debt ceilings and consumption paths on creditworthiness.JEL Classification Numbers: C61, C63, D91, D92, E51, G12, G32.An earlier version of this paper has been prepared for the 1998 North American Winter Meeting of the Econometric Society, January 1998, Chicago. We want to thank Jess Benhabib, Buz Brock, Gustav Feichtinger, Franz Wirl, Michael Woodford, Wolf-Jürgen Beyn and Thorsten Pampel for helpful discussions and comments on various versions of the paper. We also want to thank participants in a workshop at the University of Technology, Vienna, the Macroeconomic Workshop at Columbia University, and the SCE conference, at Yale University, June 2001. We are also grateful for comments from a referee of the journal.     

Free access vs private ownership: A comparison

Weitzman (J. Econ. Theory8 (1974), 225–234) has established that under free access properties of average or better quality will be overutilised relative to the efficient private property equilibrium. This leaves open the question of what happens to the low quality properties. It is shown here that there are conflicting considerations and the outcome is ambigous. Necessary and sufficient conditions are obtained for less of a variable input to be attracted to a site when access is free than when a private owner makes a charge for access.     

Private ownership economies with externalities and existence of competitive equilibria: a differentiable approach

We consider a general equilibrium model of a private ownership economy with consumption and production externalities. Utility functions and production technologies may be affected by the consumption and production activities of all other agents in the economy. We use homotopy techniques to show that the set of competitive equilibria is non-empty and compact. Fixing the externalities, the assumptions on utility functions and production technologies are standard in a differentiable framework. Competitive equilibria are written in terms of first order conditions associated with agents’ behavior and market clearing conditions, following the seminal paper of Smale (J Math Econ 1:1–14, 1974). The work of adapting the homotopy approach to economies with externalities on the production side is non-trivial and it requires some ingenious adjustments, because the production technologies are not required to be convex with respect to the consumption and production activities of all agents.     

Rationalizable expectations and sunspot equilibria in an overlapping-generations economy

There are two theories for the treatment of market uncertainty: rationalizable expectations and sunspot equilibria. This paper shows how the game-theoretic solution concept of rationalizable expectations can be applied to an overlapping-generations exchange economy. Some general properties of these equilibria are discussed. It is shown that rationalizable-expectations equilibria are the predictions yielded by considering sunspot equilibria in which probability beliefs may differ across individuals. This result allows for a new interpretation of sunspot equilibria and helps to understand their relevance.     

Functional rational expectations equilibria in market games

The rational expectations equilibrium (REE) has been criticized as an equilibrium concept in market game environments. Such an equilibrium may not exist generically, or it may introduce unrealistic assumptions about an economic agent’s knowledge or computational ability. We define an REE as a probability measure over uncertain states of nature which exploits all available information in a market game, and which exists for almost all economies. Furthermore, if retrading is allowed, it is possible for agents to compute such a ‘functional rational expectations equilibrium’ using straightforward numerical fixed point algorithms. The approach is demonstrated in a detailed numerical example.     

Trade liberalization, foreign ownership, and the environment in a small open economy

This paper examines the effects of trade liberalization on firm ownership and the environment for a small open economy. It is found that trade liberalization via tariff reductions can result in a dramatic switch in firm ownership from domestic to foreign, coupled with a lower pollution tax.     

Political economy of private firms in China

The sweeping change in political economy associated with the rapid growth of the private sector in China is rarely studied empirically in the economics literature. Using four cross-sectional surveys of private firms between 1995 and 2010, we examine the dynamics of rent creation from Party membership and other political connections when the regime changed from anti-capitalistic to pro-capitalistic during the period 2002–2004. We find that entrepreneurs with political connection enjoyed significantly more rents only after the constitutional amendments. This finding sheds lights on the nature of the political economy of today’s Chinese economy. Endogeneity/causality problems are addressed.     

Asset ownership and market structure in oligopoly: Further results

How does the sale of assets from a small firm to a large firm affect the equilibrium price in oligopoly? Using the ‘cross-sectional differentiation’ technique introduced by Farrell and Shapiro (Rand Journal of Economics, 1990, 21, 275–292), I show that the equilibrium price rises if the common production technology is homogeneous of degree t, 0<t1.     

Competition and market power in physician private practices

This article presents a theoretical and empirical model to examine competition in physician private practices implementing a conjectural variation framework. Our study uses the 1998 American Medical Association Physician Socioeconomic Monitoring Survey and tests for collusion and market power in physician private practices. The year 1998 is of particular interest due to charges filed in Federal court by The United States Department of Justice (DOJ) against a number of large physician practices, ruling that physicians could no longer engage in joint negotiations. The indictments by the DOJ were based on anecdotal economic and legal observations rather than the result of empirical evidence from accepted econometric modeling. Our model indicates that the behavior of physicians in medical subspecialties and surgical subspecialties is consistent with a non-cooperative Nash equilibrium.     

Adjustment policies in socialist and private market economies

The article shows that although the outward-oriented newly industrializing countries suffered considerably greater external shocks than the inward-oriented NICs and two socialist countries, Hungary and Yugoslavia, this was offset severalfold by differences in economic growth rates. High growth rates were the result of output-increasing policies of export promotion and import substitution in the outward-oriented NICs whereas the inward-oriented NICs, Hungary, and Yugoslavia relied largely on external financing of the adverse balance-of-payments effects of external shocks that necessitated the application of deflationary measures once borrowing possibilities were exhausted.     

Strategic market games quantal response equilibria

Summary. The paper explores a model of boundedly rational traders who act strategically. The general framework of analysis is the sell all model of Shapley and Shubik [6] whereas the behavioral rule of traders is related to the bounded rationality of McKelvey and Palfrey [5] and the subsequent of Chen Friedman and Thisse [1]. A new equilibrium concept is introduced appropriate to integrate in the basic model market participants that may choose an inferior action with positive probability. Further, assuming that these market participants are engaged in an infinite repeated game and making them able to learn playing rationally, we demonstrate that in the limit the original equilibrium of Shapley and Shubik is attained and basically emerges as a special case of our equilibrium concept.Received: 20 September 2003, Revised: 11 December 2004, I am indebted to Yanis Varoufakis and especially to Dimitrios P. Tsomocos for their helpful comments.