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Contests with Rank-Order Spillovers

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Author Info
Michael R. Baye (Department of Business Economics and Public Policy, Indiana University Kelley School of Business)
Dan Kovenock (University of Iowa)
Casper G. de Vries (Tinbergen Institute and Erasmus University Rotterdam)

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Abstract

This paper presents a unified framework for characterizing symmetric equilibrium in simultaneous move, two-player, rank-order contests with complete information, in which each player’s strategy generates direct or indirect affine “spillover” effects that depend on the rank-order of her decision variable. These effects arise in natural interpretations of a number of important economic environments, as well as in classic contests adapted to recent experimental and behavioral models where individuals exhibit inequality aversion or regret. We provide the closed-form solution for the symmetric Nash equilibria of this class of games, and show how it can be used to directly solve for equilibrium behavior in auctions, pricing games, tournaments, R&D races, models of litigation, and a host of other contests.

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File URL: http://www.bus.indiana.edu/riharbau/RePEc/iuk/wpaper/bepp2008-20-baye-kovenock-devries.pdf
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Paper provided by Indiana University, Kelley School of Business, Department of Business Economics and Public Policy in its series Working Papers with number 2008-20.

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Date of creation: Nov 2008
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Handle: RePEc:iuk:wpaper:2008-20

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  1. d'Aspremont, Claude & Jacquemin, Alexis, 1988. "Cooperative and Noncooperative R&D in Duopoly with Spillovers," American Economic Review, American Economic Association, vol. 78(5), pages 1133-37, December. [Downloadable!] (restricted)
  2. Baye, M.R. & Kovenock, D. & De Vries, C.G., 1991. "Rigging The Lobbying Process: An Application Of The All- Pay Auction," Purdue University Economics Working Papers 1002, Purdue University, Department of Economics.
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  3. Baye, M.R. & Kovenock, D. & De Vries, C., 1992. "The All-Pay Auction with Complete Information," Papers 8-92-1, Pennsylvania State - Department of Economics.
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  4. Baye, M.R. & Kovenock, D., 1992. "How to Sell a Pickup Truck; "Beat-or-Pay" Advertisements as Facilitating Devices"," Purdue University Economics Working Papers 1032, Purdue University, Department of Economics.
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  5. Emel Filiz-Ozbay & Erkut Y. Ozbay, 2007. "Auctions with Anticipated Regret: Theory and Experiment," American Economic Review, American Economic Association, vol. 97(4), pages 1407-1418, September. [Downloadable!]
  6. Richard Engelbrecht-Wiggans & Elena Katok, 2007. "Regret in auctions: theory and evidence," Economic Theory, Springer, vol. 33(1), pages 81-101, October. [Downloadable!] (restricted)
  7. Kai A. Konrad, 2004. "Inverse Campaigning," Economic Journal, Royal Economic Society, vol. 114(492), pages 69-82, 01. [Downloadable!] (restricted)
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  8. Baye, Michael R. & Kovenock, Dan & de Vries, Casper G., 1992. "It takes two to tango: Equilibria in a model of sales," Games and Economic Behavior, Elsevier, vol. 4(4), pages 493-510, October. [Downloadable!] (restricted)
  9. Png, I P L & Hirshleifer, D, 1987. "Price Discrimination through Offers to Match Price," Journal of Business, University of Chicago Press, vol. 60(3), pages 365-83, July. [Downloadable!] (restricted)
  10. Christian Groh & Benny Moldovanu & Aner Sela & Uwe Sunde, 2003. "Optimal Seedings in Elimination Tournaments," Discussion Papers 140, SFB/TR 15 Governance and the Efficiency of Economic Systems, Free University of Berlin, Humboldt University of Berlin, University of Bonn, University of Mannheim, University of Munich. [Downloadable!]
  11. Michael R. Baye & Dan Kovenock & Casper G. de Vries, 2000. "Comparative Analysis of Litigation Systems: An Auction-Theoretic Approach," CIG Working Papers FS IV 00-13, Wissenschaftszentrum Berlin (WZB), Research Unit: Competition and Innovation (CIG). [Downloadable!]
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  12. Burkhard Hehenkamp & Wolfgang Leininger & Alex Possajennikov, 2003. "Evolutionary Equilibrium in Tullock Contests: Spite and Overdissipation," Discussion Papers in Economics 03_01, University of Dortmund, Department of Economics. [Downloadable!]
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  13. Riley, John G & Samuelson, William F, 1981. "Optimal Auctions," American Economic Review, American Economic Association, vol. 71(3), pages 381-92, June. [Downloadable!] (restricted)
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  14. Varian, Hal R, 1980. "A Model of Sales," American Economic Review, American Economic Association, vol. 70(4), pages 651-59, September. [Downloadable!] (restricted)
  15. Arye L. Hillman & John G. Riley, 1987. "Politically Contestable Rents and Transfers," UCLA Economics Working Papers 452, UCLA Department of Economics. [Downloadable!]
  16. Rosenthal, Robert W, 1980. "A Model in Which an Increase in the Number of Sellers Leads to a Higher Price," Econometrica, Econometric Society, vol. 48(6), pages 1575-79, September. [Downloadable!] (restricted)
  17. Helsley, Robert W. & Strange, William C., 2008. "A game-theoretic analysis of skyscrapers," Journal of Urban Economics, Elsevier, vol. 64(1), pages 49-64, July. [Downloadable!] (restricted)
  18. Nicolas Sahuguet & Nicola Persico, 2006. "Campaign spending regulation in a model of redistributive politics," Economic Theory, Springer, vol. 28(1), pages 95-124, 05. [Downloadable!] (restricted)
  19. Lizzeri, Alessandro & Persico, Nicola, 2000. "Uniqueness and Existence of Equilibrium in Auctions with a Reserve Price," Games and Economic Behavior, Elsevier, vol. 30(1), pages 83-114, January. [Downloadable!] (restricted)
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