Asymmetric contests with general technologies

Summary.We investigate the pure-strategy Nash equilibria of asymmetric, winner-take-all, imperfectly discriminating contests, focussing on existence, uniqueness and rent dissipation. When the contest success function is determined by a production function with decreasing returns for each contestant, there is a unique pure-strategy equilibrium. If marginal product is also bounded, limiting total expenditure is equal to the value of the prize in large contests even if contestants differ. Partial dissipation occurs only when infinite marginal products are permitted. Our analysis relies heavily on the use of ‘share functions’ and we discuss their theory and application.

[1]  S. Skaperdas Contest success functions , 1996 .

[2]  J. Riley,et al.  Politically Contestable Rents And Transfers , 1989 .

[3]  John Beath,et al.  Strategic R&D Policy , 1989 .

[4]  A. Hillman The political economy of protection , 1989 .

[5]  S. Skaperdas,et al.  The Political Economy of Conflict and Appropriation , 1996 .

[6]  W. Novshek On the Existence of Cournot Equilibrium , 1985 .

[7]  R. Hartley,et al.  Risk Aversion, Heterogeneity and Contests , 2003 .

[8]  R. Frank,et al.  The Winner-Take-All Society , 1995 .

[9]  Losser Alphonse,et al.  Selten (Reinhard) - Preispolitik der Mehrproduktenunternehmung in der statischen Theorie , 1970 .

[10]  S. Skaperdas,et al.  Risk Aversion in Contests , 1995 .

[11]  Kai A. Konrad,et al.  Merger and collusion in contests , 2002 .

[12]  Glenn C. Loury,et al.  Market Structure and Innovation , 1979 .

[13]  G. Tullock Efficient Rent Seeking , 2001 .

[14]  Paul H. Rubin,et al.  Litigation Versus Legislation: Forum Shopping by Rent-Seekers , 1999 .

[15]  L. Phlips Competition Policy: A Game-Theoretic Perspective , 1995 .

[16]  Luis C. Corchón On The Allocative Effects of Rent Seeking , 2000 .

[17]  Derek J. Clark,et al.  Contest success functions: an extension , 1998 .

[18]  X. Vives Oligopoly Pricing: Old Ideas and New Tools , 1999 .

[19]  Kai A. Konrad,et al.  Risk Aversion in Rent�?Seeking and Rent�?Augmenting Games , 1997 .

[20]  A. Hillman,et al.  RISK-AVERSE RENT SEEKERS AND THE SOCIAL COST OF MONOPOLY POWER , 1984 .

[21]  Peter Howitt,et al.  Asymmetric Contests : A Resolution of the Tullock Paradox , 1998 .

[22]  F. Szidarovszky,et al.  On the Existence and Uniqueness of Pure Nash Equilibrium in Rent-Seeking Games , 1997 .

[23]  S. Nitzan Modelling rent-seeking contests , 1994 .

[24]  J. Pérez-Castrillo,et al.  A general analysis of rent-seeking games , 1992 .

[25]  D. Samet,et al.  Dissipation of contestable rents by small numbers of contenders , 1987 .

[26]  Avinash Dixit,et al.  Strategic Behavior in Contests , 1987 .

[27]  Elmar Wolfstetter,et al.  Topics in microeconomics - industrial organization, auctions, and incentives (repr.) , 1999 .

[28]  Kofi O. Nti,et al.  Comparative Statics of Contests and Rent-Seeking Games , 1997 .