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

  • Aloisio Araujo

    ()

  • Luciano I. de Castro

    ()

  • Humberto Moreira

    ()

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, 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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  3. Jehiel, Philippe & Moldovanu, Benny & Stacchetti, Ennio, 1996. "How (Not) to Sell Nuclear Weapons," American Economic Review, American Economic Association, vol. 86(4), pages 814-29, September.
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  5. 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).
  6. Simon, Leo K & Zame, William R, 1990. "Discontinuous Games and Endogenous Sharing Rules," Econometrica, Econometric Society, vol. 58(4), pages 861-72, July.
  7. Araújo, Aloísio Pessoa de & Moreira, Humberto Ataíde, 2002. "Non-Monotone insurance contracts and their empirical consequences," Economics Working Papers (Ensaios Economicos da EPGE) 512, FGV/EPGE Escola Brasileira de Economia e Finanças, Getulio Vargas Foundation (Brazil).
  8. J. Riley & E. Maskin, 1981. "Optimal Auctions with Risk Averse Buyers," Working papers 311, Massachusetts Institute of Technology (MIT), Department of Economics.
  9. Araújo, Aloísio Pessoa de & Moreira, Humberto Ataíde, 2001. "Adverse Selection Problems without The Spence-Mirrlees Condition," Economics Working Papers (Ensaios Economicos da EPGE) 425, FGV/EPGE Escola Brasileira de Economia e Finanças, Getulio Vargas Foundation (Brazil).
  10. Aloisio Araujo & Luciano I. de Castro, 2006. "Pure Strategy Equilibria Of Single And Double Auctions With Interdependent Values," Economics Working Papers we065320, Universidad Carlos III, Departamento de Economía.
  11. 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.
  12. 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.
  13. Moreira, Humberto Ataíde & Araújo, Aloísio Pessoa de & Castro Filho, Luciano I. de Castro Filho, 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).
  14. Jackson, Matthew O. & Jeroen Swinkels, 2004. "Existence of Equilibrium in Single and Double Private Value Auctions," Working Papers 1192, California Institute of Technology, Division of the Humanities and Social Sciences.
  15. Partha Dasgupta & Eric Maskin, 2000. "Efficient Auctions," The Quarterly Journal of Economics, MIT Press, vol. 115(2), pages 341-388, May.
  16. 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.
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  18. Zheng, Charles Zhoucheng, 2001. "High Bids and Broke Winners," Staff General Research Papers 12665, Iowa State University, Department of Economics.
  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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