Strategy-proof and individually rational social choice functions for public good economies

Summary We consider the problem of choosing an allocation in an economy in which there are one private good and one public good. Our purpose is to identify the class of procedures of choosing an allocation which satisfy strategy-proofness, individual rationality, no exploitation and non-bossiness. Any such procedure is a scheme of semi-convex cost sharing determined by the minimum demand principle.I wish to thank Professors Salvador Barbera, Matthew Jackson, Herve Moulin and William Thomson for their helpful suggestions and two anonymous referees for their detailed comments. Conversations with Professors Hideo Konishi, Shinji Oseto Ken-ichi Shimomura and Stephen Ching were helpful. This work is supported by the Japan Economic Research Foundation and Research Grants PB89-0294 and PB89-0075 from the Direcion General de Investigacion Cientifica y Tecnica, Spanish Ministry of Education.     

Full-cost pricing in the classical competitive process: A model of convergence to long-run equilibrium

In the last 10–15 years a lot of attempts has been devoted to study the calssical process of convergence of market prices toward natural prices. The two forces that one has thought could achieve this target were capital mobility, that determines the dynamics of output, and demand-supply forces, that determine the dynamics of prices. In this article a model of classical competition is proposed in which a full-cost pricing mechanism is adopted in the rule of evolution of market prices. An asymptotical stability result of long-run equilibrium is proved for a two-commodity model with and without a final demand.     

Equilibria and Pareto optima of markets with adverse selection

Summary This paper examines the efficiency properties of competitive equilibrium in an economy with adverse selection. The agents (firms and households) in this economy exchange contracts, which specify all the relevant aspects of their interaction. Markets are assumed to be complete, in the sense that all possible contracts can, in principle, be traded. Since prices are specified as part of the contract, they cannot be used as free parameters to equate supply and demand in the market for the contract. Instead, equilibrium is achieved by adjusting the probability of trade. If the contract space is sufficiently rich, it can be shown that rationing will not be observed in equilibrium. A further refinement of equilibrium is proposed, restricting agents' beliefs about contracts that are not traded in equilibrium. Incentive-efficient and constrained incentive-efficient allocations are defined to be solutions to appropriately specified mechanism design problems. Constrained incentive efficiency is an artificial construction, obtained by adding the constraint that all contracts yield the same rate of return to firms. Using this notion, analogues of the fundamental theorems of welfare economics can be proved: all refined equilibria are constrained incentive-efficient and all constrained incentive-efficient allocations satisfying some additional conditions can be decentralized as refined equilibria. A constrained incentive-efficient equilibrium is typically not incentive-efficient, however. The source of the inefficiency is the equilibrium condition that forces all firms to earn the same rate of return on each contract.Notation ={ ₁,..., _k } set of outcomes - : ₊ generic contract or lottery - A = () ; - A_o A{, where denotes the null contract or no trade - S={1,...,¦S¦} set of seller types - L(s) number of type-s sellers - M number of buyers - u: × S seller's utility function, which can be extended toA× S by puttingu(, s) ; - v. × S buyer's utility function, which can be extended toA × S by puttingv(, s) ; - f:A ₀ ×S ₊ allocation of sellers - g:A ₀ ×S ₊ allocation of buyers - A ₊ sellers' trading function - :A ×S ₊ buyers' trading function This paper has had a long gestation period, during which I have been influenced by helpful conversations with many persons, by their work, or both. Among those who deserve special mention are Martin Hellwig, Roger Myerson, Edward Prescott, Robert Townsend and Yves Younés. Earlier versions were presented to the NBER/CEME Conference on Decentralization at the University of Toronto and the NBER Conference on General Equilibrium at Brown University. I would like to thank John Geanakoplos, Walter Heller, Andreu Mas Colell, Michael Peters, Michel Poitevin, Lloyd Shapley, John Wooders, Nicholas Yannelis and an anonymous referee for their helpful comments and especially Robert Rosenthal for his careful reading of two drafts. The financial support of the National Science Foundation under Grant No. 912202 is gratefully acknowledged.     

Anonymous sequential games: Existence and characterization of equilibria

Summary In this paper we consider Anonymous Sequential Games with Aggregate Uncertainty. We prove existence of equilibrium when there is a general state space representing aggregate uncertainty. When the economy is stationary and the underlying process governing aggregate uncertainty Markov, we provide Markov representations of the equilibria.Table of notation Agents' characteristics space ( ) - A Action space of each agent (aA) - Y Y = x A - Aggregate distribution on agents' characteristics - (X) Space of probability measures onX - C(X) Space of continuous functions onX - _X Family of Borel sets ofX - State space of aggregate uncertainty ( ) - x _t=1 aggregate uncertainty for the infinite game - = (₁,₂,...,_t,...) - ^{t t} (₁, ₂,..., _t) - L₁(^t,C ×A),v _t Normed space of measurable functions from ^t toC( x A) - 8o(^t,( x A)) Space of measurable functions from ^tto( x A) - X^t X^t= x _s=1 ^t X - _X ^t Borel field onX ^t - v Distribution on - v_t Marginal distribution of v on ^t - v(^t)((¦^t)) Conditional distribution on given ^t - v^t(^s)(v_t(¦^s)) Conditional distribution on ^t given ^s (wheres) - _t Periodt distributional strategy - Distributional strategy for all periods =(₁,₂,...,_t,...) - _t Transition process for agents' types - ( _t,^t,y)(P _t+1(, _t , ^t ,y)) Transition function associated with _t - u _t Utility function - V _t (, a, , ^t) Value function for each collection (, a, , ^t ) - W _t (, , ^t ) Value function given optimal action a - C() Consistency correspondence. Distributions consistent with and characteristics transition functions - B() Best response correspondence (which also satisfy consistency) - E Set of equilibrium distributional strategies - x _t=1 ( ^t , (x A)) - S Expanded state space for Markov construction - (, a, ) Value function for Markov construction - P( _t ^* , _t y)(P(, _t ^* , _t , _y )) Invariant characteristics transition function for Markov game We wish to acknowledge very helpful conversations with C. d'Aspremont, B. Lipman, A. McLennan and J-F. Mertens. The financial support of the SSHRCC and the ARC at Queen's University is gratefully acknowledged. This paper was begun while the first author visited CORE. The financial support of CORE and the excellent research environment is gratefully acknowledged. The usual disclaimer applies.     

A public contracting evolutionary game with corruption

In this paper, firms are randomly matched from a continuous population to play a public contracting game (say, building a bridge). Price is given, so firms compete in quality; the higher the quality offer, the less the profit. According to the official rules of the contest, the firm bidding the highest quality wins; however, we consider the possibility that firms attempt to corrupt the public officer in charge in order to be sure to win even if bidding a lower quality (quality bids are not publicly observable). Whether or not firms attempt to corrupt depends on how rewarding corruption is w. r. t. being honest. Within a dynamic evolutionary framewark, we investigate how social conventions with or without corruption are established under various assumptions concerning the corruptability of the public officer and the possibility of an external monitoring of the officer's decisions by a super partes authority.     

Strategic Reaction of Vertically Integrated Firms to Downstream Entry: Deterrence or Accommodation

The purpose of this paper is to analyze strategic behavior of vertically integrated firms when there is downstream entry, taking into account the balance between competition in the market and competition for the market. This analysis can serve to explain diverse distributional structures, including the coexistence of vertically integrated firms and independent retailers. And it shows that the relative efficiency of downstream entrants and the level of competition among incumbents are two major factors in determining equilibrium configuration.     

Public-Choice Analysis of a New International Organization: The International Sea-Bed Authority

The usefulness of the public-choice approach for a better understanding of international organizations can be demonstrated by applying it to the analysis of the structure and functions of a new international organization, the International Sea-Bed Authority, established in 1994, after two decades of negotiations under the auspices of the United Nations, with the aim to control the oceans' mineral resources beyond the limits of national jurisdictions (which have been proclaimed by the U.N. Assembly common heritage of mankind). First, the reasons for establishing this organization, whose basis is the common heritage of mankind nature of ocean resources, are examined under two aspects: 1) definition and protection of property rights; 2) environmental control of sea-bed mining activities. Secondly, the organization's decisionmaking system is presented, including such features as the assembly, council with chamber voting, finance committee with decision by consensus, features that balance the voting power of members and protect those countries that bear the financial responsibility for the budget. Finally, some comments are offered about more general aspects of the theory of international organizations: the bureaucracy (and diplomacy) of these organizations as well as the interdependence among international organizations, which opens the way to forms of international logrolling and makes it advisable for countries not to exit from these organizations, even when they have no primary interest in them.     

Welfare effects of 1992: A general equilibrium assessment for EC and EFTA countries

In this paper production, trade and welfare effects of European integration are discussed, with particular emphasis on the effects for the EC and EFTA. Insights from previous partial and general equilibrium analyses of the internal market are reviewed, and new model simulations are presented. In addition to the standard experiments of 1992 — as reduced trade costs and as full market integration — for the EC alone, and for the European Economic Area (EEA), an intermediate case, with full integration in the EC but only lower trade costs between the EC and EFTA, is analysed. All cases show that EFTA will benefit significantly from freer trade and closer integration with the EC. With regard to non-European regions, the simulations of European integration show some degree of trade diversion, but stylized model experiments indicate that a successful outcome of the Uruguay-round may more than offset the trade-diverting effects of 1992.     

Concavity assumptions in regulatory models and the capital waste controversy

Sherman (1992, 197) concludes that the wasteful use of capital [by a rate-of-return constrained monopolist] is motivated to avoid an inelastic region of demand. Previous analyses of capital waste by regulated firms often employ models with concavity restrictions on the profit and production functions. Here we demonstrate that these conventional assumptions in Averch-Johnson type models require demand to be everywhere elastic, ruling out the avoidance motive emphasized by Sherman. Although these highly restrictive assumptions are suitable for studying inefficient input mix, they are inappropriate when considering investment in unproductive capital.This note is based on the appendix to my doctoral dissertation completed at The University of Tennessee, Knoxville, and supervised by John W. Mayo. Useful comments were also made by Ross Eriksson of The University of Tennessee, David Kaserman of Auburn University, David Mandy of the University of Missouri, and an anonymous referee. All conclusions and opinions expressed herein are mine and do not necessarily reflect the views or policies of the National Regulatory Research Institute (NRRI) or any organization associated with NRRI.     

Competition and collusion in bilateral markets

In this paper, the core of a market game which constitutes the set of equilibria in the process of competitive contracting and recontracting is criticized as a solution concept for not being immune against theory absorption in the sense that knowledge of the core on part of the traders may result in a collusive stabilization of some dominated imputation. It is pointed out that a stable set (or, von Neumann-Morgenstern) solution does not suffer from this deficiency. Moreover, it is argued that stable set solutions provide an adequate analytical framework for the study of collusion, and are in this respect superior to the approach (relying on the core concept) chosen by Aumann in his work on disadvantageous monopolies. For symmetric bilateral market games — generated by markets involving the exchange of only two commodities, one of which also serves as a means of side payment and utility transfer, among two types of traders — with one seller and one up to three buyers all symmetric solutions are determined. Furthermore, a symmetric solution for markets with equal, but otherwise arbitrary, numbers of sellers and buyers is given. The symmetric stable sets of imputations are interpreted as rational standards of behavior providing the consistent and defensible rules of division necessary to make a cartel agreement viable.This research was partially supported by a grant given to New York University, Department of Economics, by the Office of Naval Research. (# N00014-76-C-0033). A first version of the paper was presented at the Third World Congress of the Eeconomtric Society, Toronto, Aug. 20–26, 1975, under the title Symmetric Solutions of Bilateral Market Games.     

Exchange rates and bertrand oligopoly

The impact of exchange-rate changes on industrial prices seems ambiguous. Incomplete and even perverse pass-through has been observed: the import prices in the depreciating country decrease while those in the appreciating country increase. To explain these counterintuitive price reactions we consider a situation of international Bertrand competition: two firms, based in different countries, are selling in both countries simultaneously. The profit-maximizing duopolists set the prices for their products in each of the two markets which are segmented on the demand side. We then study the qualitative effect of an exogenous exchange-rate change on the Bertrand-Nash equilibrium. Under the strong assumption of linear demand and cost functions we have normal exchange-rate pass-through. However, allowing for more general cost structures in this simple static model enables us to show that the import prices in both countries might move in counterintuitive directions.     

Conflict,Cooperation and Competition in Anarchy

Caplan and Stringham (2002) attempt to rebut the paradox of cooperation (Cowen and Sutter 1999) as it applies to libertarian anarchy. The paradox in the context of anarchy implies that if private defense agencies can cooperate to avoid conflict they can also collude to reestablish coercion. Caplan and Stringham argue that arbitration is self-enforcing while collusion requires solution of a prisoners dilemma. We agree that collusion requires more cooperative efficacy than arbitration, but maintain that arbitration requires considerably more organization than a simple coordination game. If a network of protection agencies can organize sufficiently to arbitrate disputes, they can also create a barrier to entry by refusing to arbitrate with entrants.     

Die verschiedenen Konzepte des Akzelerators

Summary In theoretical analysis the accelerator concept is attractive because it can explain changes in investment which do not run parallel to demand. Empirical tests of the accelerator usually show unsatisfactory results. This is partly due to the specification used for the estimation: the relation between capital stock and production (the first level of estimation) is not popular because of the time trend in the variables; instead frequently a regression of investment expenditure on the change in production (second level of estimation) is applied. But because of the cyclical variations in the capital-output ratio this specification is not a good substitute for the first one.This paper shows that with the help of the relation between capital stock and output (naive accelerator) the highly different phases of investment activity can be explained, but that the individual annual observations follow another set of rules.Within the flexible accelerator the attemps that use only flow magnitudes do not represent a further development, but rather a counter-hypothesis of the original accelerator concept: flow magnitudes can explain medium-term variations only to a very small extent. This is contrary to the accelerator concept which explains considerable investment variations with the help of relatively small output variations. Attempts which explain investment variations through a connection between output and capital stock, expand the accelerator theory in so far as they take account of disequilibrium situations. The econometrically estimated equations give an excellent picture of short-term and medium-term investment activity. The economic interpretation of this equation shows, however, that in addition to the explicitly used variables (capital stock and output) other magnitudes contribute implicity to these excellent results. The merit of the accelerator theory then is not to be seen in a complete explanation of investment behavior, but rather in the fact that it shows highly variable investment demand for capacity purposes which again is dampened by other factors in such a way as to exhibit medium-term variations in capacity utilization.     

Hot vs. Cold: Sequential Responses and Preference Stability in Experimental Games

In experiments with two-person sequential games we analyze whether responses to favorable and unfavorable actions depend on the elicitation procedure. In our hot treatment the second player responds to the first player's observed action while in our cold treatment we follow the strategy method and have the second player decide on a contingent action for each and every possible first player move, without first observing this move. Our analysis centers on the degree to which subjects deviate from the maximization of their pecuniary rewards, as a response to others' actions. Our results show no difference in behavior between the two treatments. We also find evidence of the stability of subjects' preferences with respect to their behavior over time and to the consistency of their choices as first and second mover.     

Commitment and price competition in a dynamic differentiated-product duopoly

This paper characterizes linear Markov-perfect equilibrium in a duopolistic environment where firms engage in dynamic price competition. Firms have constant (but potentially different) marginal costs and produce differentiated products. We show that, for the case of linear demand, dynamically stable Markov-perfect equilibrium prices are strictly higher than one-shot Nash equilibrium prices, but lower than fully collusive (monopoly) prices. We provide closed-form solutions for the Markov-perfect equilibrium prices which, in principle, can be estimated given data on firm demand and costs. Our results suggest that static two-stage models of price commitment are on reasonably solid ground in that they might be viewed as a reduced form for more complicated dynamic models.     

Revenue risks,insurance, and the behavior of competitive firms

This paper explores some issues relating to a competitive firm's choice of the levels of output and insurance cover when faced with certain types of revenue risks. The analysis generalizes and extends existing results. In particular, we examine the implication, for the level of output and of insurance cover, of different risk attitudes of the firm under variable and fixed premium schemes. The possibility of using the premium schedule in, say, an export credit-guarantee scheme, as an instrument for stimulating the firm's output is noted.     

Exchange rates and perfect competition

The purpose of this note is to demonstrate that the commonly held belief that incomplete and perverse pass-through are incompatible with perfect competition is wrong! To this end, we consider two types of firms both operating in two countries. The demand sides of the markets of the two countries are separated and each type of firm produces its good in one of these countries. We study the effect of an exchange-rate change on the competitive equilibrium prices in each country. When producing for the foreign market causes the same costs as producing for the home market then the law of one price holds and an exchange-rate change is completely offset by price changes. Furthermore, when cost functions neither exhibit economies nor diseconomies of scope between producing for the home and producing for the foreign market then prices move in the right directions in response to an exchange-rate change. However, with general cost structures, even in this simple perfectly competitive model, perverse directions of price changes can result from an exchange-rate change.     

Auctions for Universal Service Subsidies

The Telecommunications Act of 1996 requires that telephone service be available in high-cost areas at rates that are affordable and reasonably comparable to those charged in low-cost areas. It also requires that carriers serving high-cost areas at below-cost rates be compensated with explicit and sufficient subsidies. This paper analyzes an auction mechanism for the allocation of such subsidies. It shows that in a wide range of circumstances auctions are more efficient than traditional subsidy schemes. It also shows, however, that auction designs aimed at stimulating competition among several subsidized carriers may be particularly vulnerable to collusion.     

Marktstruktur und Preisverhalten in der österreichischen Industrie

Summary Being part of a larger investigation concerning forms and intensity of competition in the Austrian economy this paper deals with the characteristics of market structure and pricing behaviour in the industrial sector. Mainly based on a detailed questionnaire this study is representative for the group of larger Austrian industrial enterprises (sales of more than 100 Mill. AS) which produced more than two thirds of total industrial ouput. According to this study the dominant market structure of the Austrian industry is that of a close oligopoly. The subjective estimation of the price elasticity of demand by the firms participating in our survey was generally very pessimistic, being the lower the larger the market share of the respective firm.The most common principle of price formation for new products in the Austrian industry is a system of flexible full cost pricing, meaning cost orientation plus variable profit margins. Our study also shows that a large majority (60% resp. 80%) of the enterprises under investgation use discount, i.e. price differentiation in their pricing policies. These aspects indicate that-in line with marginalistic theories — demand situations obviously exercise a substantial influence on pricing behaviour. Considering the causes for price changes, however, cost oriented influences were clearly dominating. This stresses the great importance of the Austrian pricecontrol mechanism, the Paritätische Kommission, the institutionalized form of incomes policy in Austria.An econometric analysis of the process of price formation in the Austrian industry showed that the main factors of price changes were changes in labour costs and in international price levels, especially in the level of export prices. Our investigation also dealt with the question, whether differences in market-structure result in different, responses to demand fluctuations. Considering both the concepts of actual and potential competition it can be shown that enerprises in a more competitive situation react towards changes in demand conditions in a more stabilizing way that monopolistic firms: The reduce prices earlier in recession and they react to boom periods by expanding their capacities rather than by raising prices. Market structure and the intensity of competition thus seem to influence the position of the Phillips-curve in an economy.     

On rational belief equilibria

Summary We study equilibria in which agent's belief are rational in the sense of Kurz [1994]. The market is formulated by specifying a stochastic demand function and a continuum of producers, each with a quadratic cost function who must select their output before knowing prices. Holding Rational Beliefs about future prices, producers maximize expected profits. In a Rational Belief Equilibrium (RBE) agents select diverse forecast functions but each one is rational in the sense that it is based on a theory which cannot be rejected by the data. It is shown that there exists a continuum of RBE's and they could entail very different patterns of time series for the economy and consequently different aggregate levels of longterm volatility. Since the model contains exogenously specified random variables, the difference in the level of long-term volatility of prices among the different RBE's arises endogenously as an amplification of the volatility of exogenous variables. The paper derives exact bounds on the possible levels of such amplification.This research was supported by NSF Grant IRI-8814954 to Stanford University. The author is thankful to Steven N. Durlauf and Carsten K. Nielsen for useful comments on an earlier draft.