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Non-Monotoniticies And The All-Pay Auction Tie-Breaking Rule

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  • Aloisio Araujo

    ()

  • Luciano I. de Castro

    ()

  • Humberto Moreira

    ()

Abstract

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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Bibliographic Info

Paper provided by Universidad Carlos III, Departamento de Economía in its series Economics Working Papers with number we065924.

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Date of creation: Oct 2006
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Handle: RePEc:cte:werepe:we065924

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  1. P. Dasgupta & Eric Maskin, 1998. "Efficient Auctions," Harvard Institute of Economic Research Working Papers 1857, Harvard - Institute of Economic Research.
  2. Araujo, Aloisio & Moreira, Humberto, 2010. "Adverse selection problems without the Spence-Mirrlees condition," Journal of Economic Theory, Elsevier, vol. 145(3), pages 1113-1141, May.
  3. 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.
  4. Simon, Leo K & Zame, William R, 1990. "Discontinuous Games and Endogenous Sharing Rules," Econometrica, Econometric Society, vol. 58(4), pages 861-72, July.
  5. Philip J. Reny & Shmuel Zamir, 2002. "On the Existence of Pure Strategy Monotone Equilibria in Asymmetric First-Price Auctions," Discussion Paper Series dp292, The Center for the Study of Rationality, Hebrew University, Jerusalem.
  6. 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.
  7. Aloisio Araujo & Humberto Moreira, 2001. "Non-monotone insurance contracts and their empirical consequences," Textos para discussão 449, Department of Economics PUC-Rio (Brazil).
  8. Aloisio Araujo & Luciano I. de Castro Filho, 2004. "Pure Strategy Equilibria of Multidimensional and Non-Monotonic Auctions," Econometric Society 2004 Latin American Meetings 300, Econometric Society.
  9. 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.
  10. Zheng, Charles Zhoucheng, 2001. "High Bids and Broke Winners," Staff General Research Papers 12665, Iowa State University, Department of Economics.
  11. 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.
  12. Paul Milgrom & Robert J. Weber, 1981. "A Theory of Auctions and Competitive Bidding," Discussion Papers 447R, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  13. Athey, Susan, 2001. "Single Crossing Properties and the Existence of Pure Strategy Equilibria in Games of Incomplete Information," Econometrica, Econometric Society, vol. 69(4), pages 861-89, July.
  14. Ewerhart II, Christian & Fieseler, Karsten, 2002. "Procurement Auctions and Unit-Price Contracts," Sonderforschungsbereich 504 Publications 02-11, Sonderforschungsbereich 504, Universität Mannheim;Sonderforschungsbereich 504, University of Mannheim.
  15. Araujo, Aloisio & de Castro, Luciano I., 2009. "Pure strategy equilibria of single and double auctions with interdependent values," Games and Economic Behavior, Elsevier, vol. 65(1), pages 25-48, January.
  16. Monteiro, Paulo Klinger, 2006. "First-Price Auction Symmetric Equilibria with a General Distribution," Economics Working Papers (Ensaios Economicos da EPGE) 616, FGV/EPGE Escola Brasileira de Economia e Finanças, Getulio Vargas Foundation (Brazil).
  17. Maskin, Eric S & Riley, John G, 1984. "Optimal Auctions with Risk Averse Buyers," Econometrica, Econometric Society, vol. 52(6), pages 1473-1518, November.
  18. ehiel, Philippe & Benny Moldovanu & Ennio Stacchetti, 1994. "How (not) to sell nuclear weapons," Discussion Paper Serie B 288, University of Bonn, Germany.
  19. Maskin, Eric & Riley, John, 2000. "Equilibrium in Sealed High Bid Auctions," Review of Economic Studies, Wiley Blackwell, vol. 67(3), pages 439-54, July.
  20. 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.
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Cited by:
  1. Luciano I. de Castro, 2008. "Equilibria Existence in Regular Discontinuous Games," Discussion Papers 1463, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  2. Li, Fei & Kotowski, Maciej Henryk, 2014. "On the continuous equilibria of affiliated-value, all-pay auctions with private budget constraints," Scholarly Articles 11718166, Harvard Kennedy School of Government.
  3. Luciano Castro, 2011. "Equilibrium existence and approximation of regular discontinuous games," Economic Theory, Springer, vol. 48(1), pages 67-85, September.
  4. Subhashish Modak Chowdhury, 2009. "The all-pay auction with non-monotonic payoff," Working Paper series, University of East Anglia, Centre for Behavioural and Experimental Social Science (CBESS) 09-09, School of Economics, University of East Anglia, Norwich, UK..

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