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.     

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.     

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.     

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.     

“Buy Domestic” Campaigns and Optimal Tariffs

This paper attempts to analyze the strategic use of optimal tariffs and to examine the effects of national bias on the optimal trade policy and social welfare in a two-country, two-good, price competition model derived from Neven et al. (1991). The major findings are as follows. (1) If all consumers prefer the domestic good, then buy domestic campaigns will decrease the prohibitive tariff rate and increase local welfare. (2) If at least some consumers prefer the foreign good, but not to a great extent, then buy domestic campaigns will not change the optimal tariff rate, but may improve local welfare. (3) When all consumers greatly prefer the foreign good, then promotion of buy domestic decreases the optimal tariff rate, but it cannot improve social welfare. With this framework, we also prove that buy domestic campaigns serve as a substitute for tariffs with respect to a strategic trade policy.     

Economics as mechanism: The mind as machine in Hayek's sensory order

InThe Sensory Order, Friedrich A. Hayek describes the human mind as an apparatus of classification that evolves through experience and that reaches decisions by modeling the alternative courses of action that are available to it. Hayek's mechanistic conception of mind argues aginst the possibility of central planning and against the cogency of any rule that denigrates subjective decision making by employers or other economic agents. As implied by Gödel's proof, no brain, human or mechanical, can ever be sufficiently complex to explain itself. There will therefore always be certain knowledge and rules that cannot be articulated to the satisfaction of a central planner or tribunal.     

Is Technological Progress Pareto-Improving for a World with Global Public Goods?

This paper investigates the welfare effects of unilateral or multilateral technological progress in a world with global public goods. We focus on the consumption relation between the private and the public good, and then show that technological progress may beself-centered (benefit oneself but harm others), self-sacrificing (harm oneself but benefit others), or self-defeating (harm all) if two goods are substitutable. In addition, any type of technological progress improves every countrys welfare if the private and the public good are close complements.     

From “tax state” to “debt state”

The paper is motivated by Joseph A. Schumpeter's The Crisis of the Tax State. It inquires whether the buildup of government debt in peacetimeprosperity is a threat to the stability, existence or creation of viable tax states. The paper begins by setting out Schumpeter's conception of the tax state and the nature of recent political-economic events which have reinvigorated the concept. Next the paper sets out some simple debt dynamics and sketches a debt-induced business cycle arising from heavy reliance on debt finance in peacetimeprosperity. Finally, the paper assesses threats to the tax state in light of recent work on path dependence and positive feedback. An attempt is made to throw some light on whether the plethora of new, and often small, states spawned by the demise of communism can be viable tax states.Essay on Government, the Tax State and Economic Dynamics submitted to the Third Schumpeter Prize Competition.     

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.     

The Regulation of Private Schools Serving Low-Income Families in Andhra Pradesh,India

This paper sets out some findings of a research project carried out in private unaided schools in low-income areas of Hyderabad, India. The part of the research project documented here was designed to examine the question: Is the regulatory regime conducive to entrepreneurial action and market discovery with particular reference to the low-income schools in Hyderabad. This paper is narrowly focused, setting out the results of pattern matching empirical data with the Austrian economic concepts of entrepreneurship, rivalry, and market discovery. The research discovered that two regulatory regimes exist, one that is set out on paper in the Education Acts and associated rules, and another that operates in practice. That is, there is a combination of regulations on paper and regulations existing in an extra-legal sector. Generally it was found that the regulations in practice are consistent with market principles. Conversely the regulations set out on paper are not conducive to entrepreneurial innovation and market discovery. Recommendations for potential policy initiatives include the possibility of legitimising the extra-legal sector by introducing self-regulation possibly via self-evaluation systems for the private unaided schools.     

The Coming Slavery: The Determinism of Herbert Spencer

Herbert Spencer (1820–1930) believed that Victorian Britain was moving toward a society of total regimentation (slavery). This movement was part of a cosmic process of evolution and dissolution. While the long-run (but not ultimate) destination of society was a higher form of social organization based on voluntary and complex interpersonal relationships, the immediate tendency was retrograde—a movement away from the liberation of mankind from the bondage of previous eras. This Article explores (1) the reasons for the retrograde movement, (2) its inevitability, and (3) the role of ideas in the process. The general conclusion is that in an effort to explain the general movement of social institutions and practices, Spencer develops a mechanical and deterministic approach which undermines his ability to pass normative judgements on changes in society.     

Bankruptcy Reform in Russia: The Case for Creditor Rights in Russia

Russia at the dawn of the 21st century is experiencing a collapsing economy. In a world where healthy economies create and maintain capital, it is critically important that all efforts be made to assure all creditors and especially private direct investors that in the event of debtor-insolvency their business interests are protected. The role of bankruptcy law under a regime of what I call creditor rights is limited. The court system can be used to avoid a creditors's race to grab assets. Whenever the going concern value of a firm is greater than the sum of the assets sold separately a case can be made for a bankruptcy procedure as a way of protecting creditor rights. This paper examines the historical origins of the creditor rights tradition and advocates such a regime for modern Russia. This paper holds that especially with respect to Russia, we would do well to heed John Stuart Mill's advice and support reforms that favor creditors and protect the value of their rights. Those insolvent firms owned and managed by political oligarchs should be cut down, dismembered, and the assets they command transferred to new and more imaginative and solvent groups of managers.     

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.     

Augmented serial rules for an excludable public good

Summary. We present a new class of rules named augmented serial rules for the provision of an excludable public good. First, we characterize this class by the four axioms of strategy-proofness, envy-freeness, access independence, and nonbossiness. Second, we identify two important subclasses by imposing an additional axiom: (i) anonymous augmented serial rules by anonymity, and (ii) Moulins serial rule by individual rationality.Received: 31 December 2002, Revised: 9 June 2004, JEL Classification Numbers: D71, D82, H41.This paper is a substantial revision of Serial cost sharing with simple games. I would like to thank Hervé Moulin, Yoshikatsu Tatamitani, an associate editor, and three anonymous referees for helpful suggestions and detailed comments. This research was partially supported by the Ministry of Education, Culture, Sports, Science, and Technology in Japan (Grant-in-Aid for 21st Century COE Program Microstructure and Mechanism Design in Financial Markets).     

Cross-country catch-up in the manufacturing sector: Impacts of heterogeneity on convergence and technology adoption

We analyze how technology transfer from a leading economy affects followers productivity growth in manufacturing sectors and Gross Domestic Product. Allowing for heterogeneous technology levels we explore how this impacts rates of catch-up in labor productivity across manufacturing sectors and GDP for 16 OECD nations. Our results indicate that aggregate studies bias downward the estimated rates of catch-up. These rates of catch-up, as well as efficiency levels, also differ across countries. We find that institutional factors such as bureaucratic efficiency are important determinants of the estimated catch-up rates.First version received:October 2001/Final version received:September 2003Earlier versions of this paper have been presented under the titles of Cross-Country Catch-up in Manufacturing and Heterogeneous Rates of Catch-up in Manufacturing Industries. The authors would like to thank participants of the North American Productivity Conference, June 2000, at Union College, N, Y., and the Associate Editor for helpful comments and criticisms.     

Die fluktuation der Arbeitskräfte

Zusammenfassung Es konnten vier Typen der Fluktuation isoliert werden, die neben persönlichen Komponenten für die Fluktuation der Arbeitskräfte maßgebend sind. Ein Teil der Fluktuation geht auf das Ausprobieren des Arbeitsplatzes — angesichts der Unvollkommenheit der Information — zurück (Probe-Fluktuation). Die Wechselneigung ist daher bei Personen mit kurzer Betriebszugehörigkeitsdauer sowie jüngeren Arbeitskräften (20 bis 30 Jahre) relativ hoch.Eine weitere Form der Fluktuation ist die Reaktion der Arbeinehmer auf Unterschiede in den Nettovorteilen verschiedener Arbeitsplätze (Lohn-Fluktuation). Die Arbeitskräfte wandern per Saldo aus Niedrig- in Hochlohnbetriebe, aus Klein- in Großbetriebe und aus schrumpfenden in expandierende.Das Bestehen eines dualen Arbeitsmarktes impliziert, daß benachteiligte Arbeitskräfte (Ungeschulte mit geringem betriebsspezifischem Training) häufig kündigen, während begünstigte Arbeitskräfte (Geschulte) relativ selten wechseln (Hilfskräfte-Fluktuation). Tatsächlich ist die Wechselneigung von Ungeschulten und Arbeitern (vor allem im industriell-gewerblichen Sektor) weit überdurch-schnittlich. Die Zahl der Wechselfälle wird neben der Wechselneigung durch die alternativen Beschäftigungsmöglichkeiten bestimmt (Konjunktur-Fluktuation). Die Fluktuation schwankt so deutlich mit der Anspannung auf dem Arbeitsmarkt, daß sie als Anspannungsindikator angesehen werden kann.die Branchenunterschiede in verschiedenen Maßzahlen der Fluktuation lassen sich im wesentlichen auf die dargestellten vier Fluktuationstypen zurückführen. (Zur Messung des Arbeitsplatzwechsels empfiehlt es sich, Verbleibenswahrscheinlichkeiten der betrieblichen Zugänge und dienstalterspezifische Fluktuationsraten zu errechnen.)

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Summary There are four main features of labour turnover. A substantial part of turnover is due to job shopping in view of imperfect information. Therefore, workers with short job tenure and younger employees (20–30 years) reveal a high propensity to quit. Another type of quit behaviour is the reaction of workers to differences in the net advantages of various jobs. The employed move from the low wage to the high wage sector, from small to largescale enterprises and from shrinking to expanding firms. The existence of a dual labour market implies that disprivileged workers (with low general and specific training) quit frequently and privileged workers rarely change the job. In fact, the turnover rate of white-collar workers and persons with higher formal education is far below average. The actual level of labour turnover does not only depend on the propensity to quit but also on the alternative job opportunities. Voluntary quits are so closely related to the tightness of the labour market that they can be regarded as a labour market indicator. Regression analysis shows that the differences in various measures of turnover are essentially due to these four features of turnover. (For measurement of labour turnover it is recomended to use the probabilities of a batch of entrants to survive certain points in time. as well as job tenure-specific turnover rates.)

     

Learning for Innovation and the Skill Premium

The computer revolution took very long to pay off in productivity growth in the computer-using sectors. The relative wage of skilled workers, however, has risen sharply from the early days of the computer revolution onward. As skilled workers wages reflect their productivity, the two observations together pose a puzzle.This paper provides a micro-based explanation for the long diffusion period of the computer revolution. The general equilibrium model of growth zooms in on the research process and provides an explanation for sluggish growth with booming relative wages of the skilled. Technological progress in firms is driven by research aimed at improving the production technology (innovation) and by assimilation of ideas or principles present outside the firm (learning). A new General Purpose Technology (GPT) like the computer revolution generates an initial slowdown in economic growth and an increase in the skill premium.Acknowledgement I am indebted to Theo van de Klundert for suggestions and encouragement. Suggestions by Jan Boone, Bas Jacobs, Patrick Francois, Henri de Groot, Lex Meijdam, Niek Nahuis Sjak Smulders, Harald Uhlig and anonymous referees have contributed to the paper.     

Power,luck and the right index

Summary We have pointed out the theoretical drawbacks of the traditional indices for measuring a priori voting power inasmuch as they are implied in considering the coalition value a private good. This criticism caused us to view the coalition outcome as a public good. From this aspect and additional considerations with respect to power, luck, and decisiveness, we obtained a story describing the characteristics of an adequate measure of a priori voting power. These characteristics were found to be fulfilled by an index presented by Holler (1978). Through the above analysis this index has received its theoretical justification. An independent view of this index was then provided by means of an axiomatic characterization. This characterization makes possible abstract comparison of the index with previously established private good indices.While we have restricted our attention to simple games, the index presented can be generalized to provide a value on games in characteristic function form. We leave this topic for future conideration.     

Vertical and Horizontal Trust Networks in Bureaucracies: Evidence from the Third Reich

In a seminal contribution to the literature on bureaucracy, Breton and Wintrobe (The Logic of Bureaucratic Conduct: An Economic Analysis of Competition, Exchange, and Efficiency in Private and Public Organization. New York, NY: Cambridge University Press, 1982) develop a model wherein subordinates and superiors in a bureaucratic structure trade with each other to advance the objectives of the superiors. The success of such an organizational arrangement (for superiors) is based upon the development of vertical trust networks in a way that facilitates the promise of informal payments by superiors in return for informal services provided by their subordinates. Breton and Wintrobe [Journal of Political Economy 94 (1986) 905] also provide a theoretical application of their model by describing the Nazi bureaucracy as a conglomeration of competing agencies that zealously carried out the Final Solution to the Jewish question. As an extension, this note develops two compelling empirical examples of vertical and horizontal trust networks within the Nazi regime: Einsatzgruppen As (Special Action Detachments) attempt to liquidate all Lithuanian Jews after the German invasion of the U.S.S.R. in 1941 and the 20 July 1944 attempt to assassinate Adolf Hitler.JEL Classification: D23, D73.     

Breeding hybrid strategies: optimal behaviour for oligopolists

Oligopolistic pricing decisions-in which the choice variable is not dichotomous as in the simple prisoner's dilemma but continuous-have been modeled as a generalized prisoner's dilemma (GPD) by Fader and Hauser, who sought, in the two MIT Computer Strategy Tournaments, to obtain an effective generalization of Rapoport's Tit for Tat for the three-person repeated game. Holland's genetic algorithm and Axelrod's representation of contingent strategies provide a means of generating new strategies in the computer, through machine learning, without outside submissions.The paper discusses how findings from two-person tournaments can be extended to the GPD, in particular how the author's winning strategy in the Second MIT Competitive Strategy Tournament could be bettered. The paper provides insight into how oligopolistic pricing competitors can successfully compete, and underlines the importance of niche strategies, successful against a particular environment of competitors.Bootstrapping, or breeding strategies against their peers, provides a means of examining whether repetition leads to cooperation: we show that it can, under certain conditions, for simple and extended two- and three-person GPD repeated games. The paper concludes with a discussion of the relationship between Selten's trembling-hand perfect equilibrium and Maynard Smith's evolutionarily stable strategies, with practical simulations of successful and unsuccessful invasions by new strategies.