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Non-monotoniticies and the all-pay auction tie-breaking rule

  • Moreira, Humberto
  • Castro, Luciano I. de
  • Araujo, Aloisio

Discontinuous games, such as auctions, may require special tie-breaking rules to guarantee equilibrium existence. The best results available ensure equilibrium existence only in mixed strategy with endogenously defined tie-breaking rules and communication of private information. We show that an all-pay auction tie-breaking rule is sufficient for the existence of pure strategy equilibrium in a class of auctions. The rule is explicitly defined and does not require communication of private information. We also characterize when special tie-breaking rules are really needed.

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Paper provided by Universidad Carlos III de Madrid. Departamento de Economía in its series UC3M Working papers. Economics with number we065924.

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Date of creation: Oct 2006
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Handle: RePEc:cte:werepe:we065924
Contact details of provider: Web page: http://www.eco.uc3m.es/

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  1. Partha Dasgupta & Eric Maskin, 2000. "Efficient Auctions," The Quarterly Journal of Economics, Oxford University Press, vol. 115(2), pages 341-388.
  2. Philip J. Reny & Shmuel Zamir, 2002. "On the Existence of Pure Strategy Monotone Equilibria in Asymmetric First-Price Auctions," Discussion Paper Series dp292, The Federmann Center for the Study of Rationality, the Hebrew University, Jerusalem.
  3. Ewerhart, Christian & Fieseler, Karsten, 2003. " Procurement Auctions and Unit-Price Contracts," RAND Journal of Economics, The RAND Corporation, vol. 34(3), pages 569-81, Autumn.
  4. Athey, S., 1997. "Sigle Crossing Properties and the Existence of Pure Strategy Equilibria in Games of Incomplete Information," Working papers 97-11, Massachusetts Institute of Technology (MIT), Department of Economics.
  5. Milgrom, Paul R & Weber, Robert J, 1982. "A Theory of Auctions and Competitive Bidding," Econometrica, Econometric Society, vol. 50(5), pages 1089-1122, September.
  6. Leo K. Simon and William R. Zame., 1987. "Discontinuous Games and Endogenous Sharing Rules," Economics Working Papers 8756, University of California at Berkeley.
  7. Aloisio Araújo & Humberto Moreira, 2000. "Adverse selection problems without the Spence-Mirrlees condition," Textos para discussão 424, Department of Economics PUC-Rio (Brazil).
  8. Susan Athey & Jonathan Levin, 1999. "Information and Competition in U.S. Forest Service Timber Auctions," NBER Working Papers 7185, National Bureau of Economic Research, Inc.
  9. Eric Maskin & John Riley, 2000. "Equilibrium in Sealed High Bid Auctions," Review of Economic Studies, Oxford University Press, vol. 67(3), pages 439-454.
  10. Richard L. Fullerton & R. Preston McAfee, 1999. "Auctioning Entry into Tournaments," Journal of Political Economy, University of Chicago Press, vol. 107(3), pages 573-605, June.
  11. ehiel, Philippe & Benny Moldovanu & Ennio Stacchetti, 1994. "How (not) to sell nuclear weapons," Discussion Paper Serie B 288, University of Bonn, Germany.
  12. Matthew O. Jackson & Jeroen M. Swinkels, 2005. "Existence of Equilibrium in Single and Double Private Value Auctions," Econometrica, Econometric Society, vol. 73(1), pages 93-139, 01.
  13. Maskin, Eric S & Riley, John G, 1984. "Optimal Auctions with Risk Averse Buyers," Econometrica, Econometric Society, vol. 52(6), pages 1473-1518, November.
  14. Castro, Luciano I. de & Araujo, Aloisio, 2006. "Pure strategy equilibria of single and double auctions with interdependent values," UC3M Working papers. Economics we065320, Universidad Carlos III de Madrid. Departamento de Economía.
  15. Zheng, Charles Zhoucheng, 2001. "High Bids and Broke Winners," Staff General Research Papers 12665, Iowa State University, Department of Economics.
  16. Taylor, Curtis R, 1995. "Digging for Golden Carrots: An Analysis of Research Tournaments," American Economic Review, American Economic Association, vol. 85(4), pages 872-90, September.
  17. Monteiro, P. K., 2004. "First-Price auction symmetric equlibria with a general distribution," Economics Working Papers (Ensaios Economicos da EPGE) 568, FGV/EPGE Escola Brasileira de Economia e Finanças, Getulio Vargas Foundation (Brazil).
  18. Matthew O. Jackson & Leo K. Simon & Jeroen M. Swinkels & William R. Zame, 2002. "Communication and Equilibrium in Discontinuous Games of Incomplete Information," Econometrica, Econometric Society, vol. 70(5), pages 1711-1740, September.
  19. Moreira, Humberto Ataíde & Araújo, Aloísio Pessoa de & Castro Filho, Luciano I. de, 2004. "Pure strategy equilibria of multidimensional and non-monotonic auctions," Economics Working Papers (Ensaios Economicos da EPGE) 571, FGV/EPGE Escola Brasileira de Economia e Finanças, Getulio Vargas Foundation (Brazil).
  20. Aloisio Araujo & Humberto Moreira, 2001. "Non-monotone insurance contracts and their empirical consequences," Textos para discussão 449, Department of Economics PUC-Rio (Brazil).
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