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Common-Value All-Pay Auctions with Asymmetric Information and Bid Caps

Listed author(s):
  • Ezra Einy

    ()

    (BGU)

  • Ori Haimanko

    ()

    (BGU)

  • Ram Orzach

    ()

    (Oakland University, USA)

  • Aner Sela

    ()

    (BGU)

We study two-player common-value all-pay auctions (contests) with asymmetric information under the assumption that one of the players has an information advantage over his opponent and both players are budget-constrained. We generalize the results for all-pay auctions with complete information, and show that in all-pay auctions with asymmetric information, sufficiently high (but still binding) bid caps do not change the players' expected total effort compared to the benchmark auction without any bid cap. Furthermore, we show that there are bid caps that increase the players' expected total effort compared to the benchmark. Finally, we demonstrate that there are bid caps which may have an unanticipated effect on the players' expected payoffs - one player's information advantage may turn into a disadvantage as far as his equilibrium payoff is concerned.

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File URL: http://in.bgu.ac.il/en/humsos/Econ/Workingpapers/1402.pdf
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Paper provided by Ben-Gurion University of the Negev, Department of Economics in its series Working Papers with number 1402.

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Length: 29 pages
Date of creation: 2014
Handle: RePEc:bgu:wpaper:1402
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  1. Benny Moldovanu & Aner Sela & Xianwen Shi, 2012. "Carrots And Sticks: Prizes And Punishments In Contests," Economic Inquiry, Western Economic Association International, vol. 50(2), pages 453-462, 04.
  2. David Malueg & Ram Orzach, 2012. "Equilibrium and revenue in a family of common-value first-price auctions with differential information," International Journal of Game Theory, Springer;Game Theory Society, vol. 41(2), pages 219-254, May.
  3. Rentschler, Lucas & Turocy, Theodore L., 2016. "Two-bidder all-pay auctions with interdependent valuations, including the highly competitive case," Journal of Economic Theory, Elsevier, vol. 163(C), pages 435-466.
  4. Benny Moldovanu & Aner Sela, 2001. "The Optimal Allocation of Prizes in Contests," American Economic Review, American Economic Association, vol. 91(3), pages 542-558, June.
  5. Arye L. Hillman & John G. Riley, 1989. "Politically Contestable Rents And Transfers," Economics and Politics, Wiley Blackwell, vol. 1(1), pages 17-39, 03.
  6. Che, Yeon-Koo & Gale, Ian L, 1998. "Caps on Political Lobbying," American Economic Review, American Economic Association, vol. 88(3), pages 643-651, June.
  7. Ezra Einy & Ori Haimanko & Ram Orzach & Aner Sela, 2016. "Common-value all-pay auctions with asymmetric information and bid caps," International Journal of Game Theory, Springer;Game Theory Society, vol. 45(1), pages 63-88, March.
  8. Forges, Françoise & Orzach, Ram, 2011. "Core-stable rings in second price auctions with common values," Journal of Mathematical Economics, Elsevier, vol. 47(6), pages 760-767.
  9. Baye, Michael R & Kovenock, Dan & de Vries, Casper G, 1993. "Rigging the Lobbying Process: An Application of the All-Pay Auction," American Economic Review, American Economic Association, vol. 83(1), pages 289-294, March.
  10. Dan Kovenock & Michael R. Baye & Casper G. de Vries, 1996. "The all-pay auction with complete information (*)," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 8(2), pages 291-305.
  11. Milgrom, Paul R & Weber, Robert J, 1982. "A Theory of Auctions and Competitive Bidding," Econometrica, Econometric Society, vol. 50(5), pages 1089-1122, September.
  12. Einy, Ezra & Haimanko, Ori & Orzach, Ram & Sela, Aner, 2002. "Dominance solvability of second-price auctions with differential information," Journal of Mathematical Economics, Elsevier, vol. 37(3), pages 247-258, May.
  13. Amann, Erwin & Leininger, Wolfgang, 1996. "Asymmetric All-Pay Auctions with Incomplete Information: The Two-Player Case," Games and Economic Behavior, Elsevier, vol. 14(1), pages 1-18, May.
  14. Siegel, Ron, 2014. "Asymmetric all-pay auctions with interdependent valuations," Journal of Economic Theory, Elsevier, vol. 153(C), pages 684-702.
  15. Moldovanu, Benny & Sela, Aner, 2006. "Contest architecture," Journal of Economic Theory, Elsevier, vol. 126(1), pages 70-96, January.
  16. Ivan Pastine & Tuvana Pastine, 2012. "All-pay contests with constraints," Working Papers 201204, School of Economics, University College Dublin.
  17. Maciej H. Kotowski & Fei Li, 2012. "On the Continuous Equilibria of Affiliated-Value, All-Pay Auctions with Private Budget Constraints, Third Version," PIER Working Paper Archive 14-001, Penn Institute for Economic Research, Department of Economics, University of Pennsylvania, revised 10 Jan 2014.
  18. Arye Hillman & Dov Samet, 1987. "Dissipation of contestable rents by small numbers of contenders," Public Choice, Springer, vol. 54(1), pages 63-82, January.
  19. Arieh Gavious & Benny Moldovanu & Aner Sela, 2002. "Bid Costs and Endogenous Bid Caps," RAND Journal of Economics, The RAND Corporation, vol. 33(4), pages 709-722, Winter.
  20. Kotowski, Maciej H. & Li, Fei, 2014. "On the continuous equilibria of affiliated-value, all-pay auctions with private budget constraints," Games and Economic Behavior, Elsevier, vol. 85(C), pages 84-108.
  21. Malueg, David A. & Orzach, Ram, 2009. "Revenue comparison in common-value auctions: Two examples," Economics Letters, Elsevier, vol. 105(2), pages 177-180, November.
  22. repec:dau:papers:123456789/7891 is not listed on IDEAS
  23. Vohra, Rajiv, 1999. "Incomplete Information, Incentive Compatibility, and the Core," Journal of Economic Theory, Elsevier, vol. 86(1), pages 123-147, May.
  24. Krishna, Vijay & Morgan, John, 1997. "An Analysis of the War of Attrition and the All-Pay Auction," Journal of Economic Theory, Elsevier, vol. 72(2), pages 343-362, February.
  25. Ron Siegel, 2009. "All-Pay Contests," Econometrica, Econometric Society, vol. 77(1), pages 71-92, 01.
  26. Nicolas Sahuguet, 2006. "Caps in asymmetric all-pay auctions with incomplete information," Economics Bulletin, AccessEcon, vol. 3(9), pages 1-8.
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