IDEAS home Printed from https://ideas.repec.org/
MyIDEAS: Login to save this paper or follow this series

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: http://www.economics.ox.ac.uk/materials/working_papers/paper160.pdf
Download Restriction: no

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

as
in new window

Length:
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: http://www.economics.ox.ac.uk/
Email:


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. Jeremy Bulow & Ming Huang & Paul Klemperer, 1999. "Toeholds and Takeovers," Finance 9903005, EconWPA.
  2. 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.
  3. Paul Klemperer & Jeremy Bulow, 1999. "The Generalized War of Attrition," American Economic Review, American Economic Association, vol. 89(1), pages 175-189, March.
  4. 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.
  5. Fudenberg, Drew & Tirole, Jean, 1986. "A Theory of Exit in Duopoly," Econometrica, Econometric Society, vol. 54(4), pages 943-60, July.
  6. Marc Bilodeau & Al Slivinski, . "Toilet Cleaning and Department Chairing: Volunteering a Public service," Public Economics 9405001, EconWPA.
  7. 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.
  8. Riley, John G & Samuelson, William F, 1981. "Optimal Auctions," American Economic Review, American Economic Association, vol. 71(3), pages 381-92, June.
  9. Arye L. Hillman & John G. Riley, 1989. "Politically Contestable Rents And Transfers," Economics and Politics, Wiley Blackwell, vol. 1(1), pages 17-39, 03.
  10. Kreps, David M. & Milgrom, Paul & Roberts, John & Wilson, Robert, 1982. "Rational cooperation in the finitely repeated prisoners' dilemma," Journal of Economic Theory, Elsevier, vol. 27(2), pages 245-252, August.
  11. Joseph Farrell and Garth Saloner., 1987. "Coordination Through Committees and Markets," Economics Working Papers 8740, University of California at Berkeley.
  12. Alberto Alesina & Allan Drazen, 1989. "Why are Stabilizations Delayed?," NBER Working Papers 3053, National Bureau of Economic Research, Inc.
  13. Wenders, John T, 1987. "On Perfect Rent Dissipation," American Economic Review, American Economic Association, vol. 77(3), pages 456-59, June.
  14. Godfrey Keller & Sven Rady, 1998. "Optimal Experimentation in a Changing Environment," Game Theory and Information 9801001, EconWPA.
  15. David Kreps & Robert Wilson, 1999. "Reputation and Imperfect Information," Levine's Working Paper Archive 238, David K. Levine.
  16. Milgrom, Paul & Roberts, John, 1982. "Predation, reputation, and entry deterrence," Journal of Economic Theory, Elsevier, vol. 27(2), pages 280-312, August.
  17. 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.
  18. Casella, Alessandra & Eichengreen, Barry, 1994. "Can Foreign Aid Accelerate Stabilization?," CEPR Discussion Papers 961, C.E.P.R. Discussion Papers.
  19. 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.
  20. Dilip Abreu & Faruk Gul, 2000. "Bargaining and Reputation," Econometrica, Econometric Society, vol. 68(1), pages 85-118, January.
  21. Maskin, Eric & Riley, John, 2000. "Asymmetric Auctions," Review of Economic Studies, Wiley Blackwell, vol. 67(3), pages 413-38, July.
  22. 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.
  23. Drazen, Allan & Helpman, Elhanan, 1990. "Inflationary Consequences of Anticipated Macroeconomic Policies," Review of Economic Studies, Wiley Blackwell, vol. 57(1), pages 147-64, January.
  24. John C Harsanyi, 1997. "Games with incomplete information played by "bayesian" players," Levine's Working Paper Archive 1175, David K. Levine.
  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. Ponsati C. & Sakovics, J., 1996. "The war of attrition with incomplete information," Mathematical Social Sciences, Elsevier, vol. 31(1), pages 54-54, February.
  27. Kornhauser, Lewis & Rubinstein, Ariel & Wilson, Charles, 1989. "Reputation and Patience in the 'War of Attrition.'," Economica, London School of Economics and Political Science, vol. 56(221), pages 15-24, February.
  28. Arye Hillman & Dov Samet, 1987. "Dissipation of contestable rents by small numbers of contenders," Public Choice, Springer, vol. 54(1), pages 63-82, January.
  29. 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.
  30. Mirrlees, J A, 1999. "The Theory of Moral Hazard and Unobservable Behaviour: Part I," Review of Economic Studies, Wiley Blackwell, vol. 66(1), pages 3-21, January.
  31. Hendricks, Kenneth & Weiss, Andrew & Wilson, Charles, 1987. "The War of Attrition in Continuous Time with Complete Information," Working Papers 87-03, C.V. Starr Center for Applied Economics, New York University.
  32. 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.
  33. Chatterjee, Kalyan & Samuelson, Larry, 1987. "Bargaining with Two-Sided Incomplete Information: An Infinite Horizon Model with Alternating Offers," Review of Economic Studies, Wiley Blackwell, vol. 54(2), pages 175-92, April.
  34. Paul Klemperer, 1997. "Auctions with Almost Common Values: The Wallet Game and its Applications," Economics Series Working Papers 1998-W03, University of Oxford, Department of Economics.
  35. Rothschild, Michael & Stiglitz, Joseph E., 1970. "Increasing risk: I. A definition," Journal of Economic Theory, Elsevier, vol. 2(3), pages 225-243, September.
  36. de Frutos, M. Angeles, 2000. "Asymmetric Price-Benefits Auctions," Games and Economic Behavior, Elsevier, vol. 33(1), pages 48-71, October.
  37. 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.
  38. Patrick Bolton & Christopher Harris, 1999. "Strategic Experimentation," Econometrica, Econometric Society, vol. 67(2), pages 349-374, March.
  39. 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.
  40. Giuseppe Moscarini & Lones Smith, 2001. "The Optimal Level of Experimentation," Econometrica, Econometric Society, vol. 69(6), pages 1629-1644, November.
  41. Ordover, Janusz A & Rubinstein, Ariel, 1986. "A Sequential Concession Game with Asymmetric Information," The Quarterly Journal of Economics, MIT Press, vol. 101(4), pages 879-88, November.
  42. Kambe, Shinsuke, 1999. "Bargaining with Imperfect Commitment," Games and Economic Behavior, Elsevier, vol. 28(2), pages 217-237, August.
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: (Caroline Wise)

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.