IDEAS home Printed from
MyIDEAS: Log in (now much improved!) to save this paper

Instant Exit from the Asymmetric War of Attrition

  • David P. Myatt

In an asymmetric war of attrition the players` prize valuations are drawn from different distributions. A stochastic strength ordering, based upon relative hazard rates, is used to rank these distributions. The stochastically stronger player is perceived to be strong ex ante, even though her realized valuation may be lower ex post. Since the classic war of attrition exhibits multiple equilibria, the game is perturbed; for instance, by imposing an arbitrarily large time limit, or allowing for the arbitrarily small probability of players that are restricted to fighting forever. In the unique equilibrium of the perturbed game, a stochastically weaker player almost always instantly exits at the beginning, even though her valuation may be higher.

If you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.

File URL:
Download Restriction: no

Paper provided by University of Oxford, Department of Economics in its series Economics Series Working Papers with number 160.

in new window

Date of creation: 01 Apr 2005
Date of revision:
Handle: RePEc:oxf:wpaper:160
Contact details of provider: Postal:
Manor Rd. Building, Oxford, OX1 3UQ

Web page:

More information through EDIRC

References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:

as in new window
  1. David Kreps & Paul Milgrom & John Roberts & Bob Wilson, 2010. "Rational Cooperation in the Finitely Repeated Prisoners' Dilemma," Levine's Working Paper Archive 239, David K. Levine.
  2. Baye, M.R. & Kovenock, D. & De Vries, C.G., 1992. "Rigging the Lobbying Process: An Application of the All- Pay Auction," Papers 9-92-2, Pennsylvania State - Department of Economics.
  3. Bilodeau, Marc & Slivinski, Al, 1996. "Toilet cleaning and department chairing: Volunteering a public service," Journal of Public Economics, Elsevier, vol. 59(2), pages 299-308, February.
  4. Dilip Abreu & Faruk Gul, 2000. "Bargaining and Reputation," Econometrica, Econometric Society, vol. 68(1), pages 85-118, January.
  5. Allan Drazen & Elhanan Helpman, 1986. "Inflationary Consequences of Anticipated Macroeconomic Policies," NBER Working Papers 2006, National Bureau of Economic Research, Inc.
  6. Godfrey Keller & Sven Rady, 1998. "Optimal Experimentation in a Changing Environment," Game Theory and Information 9801001, EconWPA.
  7. Alessandra Casella & Barry Eichengreen, 1994. "Can Foreign Aid Accelerate Stabilization?," NBER Working Papers 4694, National Bureau of Economic Research, Inc.
  8. Arye Hillman & Dov Samet, 1987. "Dissipation of contestable rents by small numbers of contenders," Public Choice, Springer, vol. 54(1), pages 63-82, January.
  9. Klemperer, Paul, 1998. "Auctions with almost common values: The 'Wallet Game' and its applications," European Economic Review, Elsevier, vol. 42(3-5), pages 757-769, May.
  10. Alesina, A. & Drazen, A., 1991. "Why Are Stabilizations Delayed?," Papers 6-91, Tel Aviv - the Sackler Institute of Economic Studies.
  11. Jeremy Bulow & Ming Huang & Paul Klemperer, 1999. "Toeholds and Takeovers," Finance 9903005, EconWPA.
  12. Fudenberg, Drew & Tirole, Jean, 1987. "Understanding Rent Dissipation: On the Use of Game Theory in Industrial Organization," American Economic Review, American Economic Association, vol. 77(2), pages 176-83, May.
  13. Paul Klemperer & Jeremy Bulow, 1999. "The Generalized War of Attrition," Game Theory and Information 9901004, EconWPA.
  14. 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.
  15. Eric Maskin & John Riley, 2000. "Asymmetric Auctions," Review of Economic Studies, Oxford University Press, vol. 67(3), pages 413-438.
  16. J. A. Mirrlees, 1999. "The Theory of Moral Hazard and Unobservable Behaviour: Part I," Review of Economic Studies, Oxford University Press, vol. 66(1), pages 3-21.
  17. de Frutos, M. Angeles, 2000. "Asymmetric Price-Benefits Auctions," Games and Economic Behavior, Elsevier, vol. 33(1), pages 48-71, October.
  18. David Kreps & Robert Wilson, 1999. "Reputation and Imperfect Information," Levine's Working Paper Archive 238, David K. Levine.
  19. Joseph Farrell & Garth Saloner, 1988. "Coordination through Committees and Markets," RAND Journal of Economics, The RAND Corporation, vol. 19(2), pages 235-252, Summer.
  20. John G. Riley & William Samuelson, 1979. "Optimal Auctions," UCLA Economics Working Papers 152, UCLA Department of Economics.
  21. Paul Milgrom & John Roberts, 1997. "Predation, reputation , and entry deterrence," Levine's Working Paper Archive 1460, David K. Levine.
  22. Kornhauser, Lewis A. & Rubinstein, Ariel & Wilson, Charles, 1986. "Reputation and Patience in the "War of Attrition"," Working Papers 86-31, C.V. Starr Center for Applied Economics, New York University.
  23. Bliss, Christopher & Nalebuff, Barry, 1984. "Dragon-slaying and ballroom dancing: The private supply of a public good," Journal of Public Economics, Elsevier, vol. 25(1-2), pages 1-12, November.
  24. Wenders, John T, 1987. "On Perfect Rent Dissipation," American Economic Review, American Economic Association, vol. 77(3), pages 456-59, June.
  25. Posner, Richard A, 1975. "The Social Costs of Monopoly and Regulation," Journal of Political Economy, University of Chicago Press, vol. 83(4), pages 807-27, August.
  26. Arye L. Hillman & John G. Riley, 1987. "Politically Contestable Rents and Transfers," UCLA Economics Working Papers 452, UCLA Department of Economics.
  27. Rothschild, Michael & Stiglitz, Joseph E., 1970. "Increasing risk: I. A definition," Journal of Economic Theory, Elsevier, vol. 2(3), pages 225-243, September.
  28. Fisher, Franklin M, 1985. "The Social Costs of Monopoly and Regulation: Posner Reconsidered," Journal of Political Economy, University of Chicago Press, vol. 93(2), pages 410-16, April.
  29. Kambe, Shinsuke, 1999. "Bargaining with Imperfect Commitment," Games and Economic Behavior, Elsevier, vol. 28(2), pages 217-237, August.
  30. Hendricks, Ken & Weiss, Andrew & Wilson, Charles A, 1988. "The War of Attrition in Continuous Time with Complete Information," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 29(4), pages 663-80, November.
  31. Patrick Bolton & Christopher Harris, 1999. "Strategic Experimentation," Econometrica, Econometric Society, vol. 67(2), pages 349-374, March.
  32. Fudenberg, Drew & Tirole, Jean, 1986. "A Theory of Exit in Duopoly," Econometrica, Econometric Society, vol. 54(4), pages 943-60, July.
  33. Carolyn Pitchik, 1981. "Equilibria of a Two-Person Non-Zero Sum Noisy Game of Timing," Cowles Foundation Discussion Papers 579, Cowles Foundation for Research in Economics, Yale University.
  34. Kennan, John & Wilson, Robert, 1989. "Strategic Bargaining Models and Interpretation of Strike Data," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 4(S), pages S87-130, Supplemen.
  35. Kalyan Chatterjee & Larry Samuelson, 1987. "Bargaining with Two-sided Incomplete Information: An Infinite Horizon Model with Alternating Offers," Review of Economic Studies, Oxford University Press, vol. 54(2), pages 175-192.
  36. Simon P. Anderson & Jacob K. Goeree & Charles A. Holt, 1998. "Rent Seeking with Bounded Rationality: An Analysis of the All-Pay Auction," Journal of Political Economy, University of Chicago Press, vol. 106(4), pages 828-853, August.
  37. Giuseppe Moscarini & Lones Smith, 2001. "The Optimal Level of Experimentation," Econometrica, Econometric Society, vol. 69(6), pages 1629-1644, November.
  38. McKelvey Richard D. & Palfrey Thomas R., 1995. "Quantal Response Equilibria for Normal Form Games," Games and Economic Behavior, Elsevier, vol. 10(1), pages 6-38, July.
  39. Ponsati, Clara & Sakovics, Jozsef, 1995. "The war of attrition with incomplete information," Mathematical Social Sciences, Elsevier, vol. 29(3), pages 239-254, June.
  40. 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.
  41. Janusz A. Ordover & Ariel Rubinstein, 1986. "A Sequential Concession Game with Asymmetric Information," The Quarterly Journal of Economics, Oxford University Press, vol. 101(4), pages 879-888.
  42. John C Harsanyi, 1997. "Games with incomplete information played by "bayesian" players," Levine's Working Paper Archive 1175, David K. Levine.
Full references (including those not matched with items on IDEAS)

This item is not listed on Wikipedia, on a reading list or among the top items on IDEAS.

When requesting a correction, please mention this item's handle: RePEc:oxf:wpaper:160. See general information about how to correct material in RePEc.

For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Monica Birds)

If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

If references are entirely missing, you can add them using this form.

If the full references list an item that is present in RePEc, but the system did not link to it, you can help with this form.

If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your profile, as there may be some citations waiting for confirmation.

Please note that corrections may take a couple of weeks to filter through the various RePEc services.

This information is provided to you by IDEAS at the Research Division of the Federal Reserve Bank of St. Louis using RePEc data.