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Engaging In Wars Of Attrition

Author

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  • Maxime Menuet

    (LEO - Laboratoire d'Économie d'Orleans [2022-...] - UO - Université d'Orléans - UT - Université de Tours - UCA - Université Clermont Auvergne)

  • Petros G Sekeris

Abstract

This article studies the incentives to engage in a war of attrition under both, complete and incomplete information. In our setup, a war of attrition can unilaterally be decided by any player, and if neither player engages in a war of attrition they each obtain some pre-determined payoff. Under complete information, we demonstrate that if players play pure-strategies, they engage in a war of attrition where one player will drop out immediately. In a mixed strategy subgame perfect equilibrium, no player engages in a war of attrition. Under incomplete information, players never engage in a war of attrition at the symmetric perfect Bayesian equilibrium. When allowing players to decide to initiate a confrontation we therefore demonstrate that there can never be a war of attrition with a strictly positive drop out time along the equilibrium path.
(This abstract was borrowed from another version of this item.)

Suggested Citation

  • Maxime Menuet & Petros G Sekeris, 2022. "Engaging In Wars Of Attrition," Post-Print hal-03810175, HAL.
    • Handle: RePEc:hal:journl:hal-03810175
    DOI: 10.2307/48684787
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    1. Rubinstein, Ariel, 1982. "Perfect Equilibrium in a Bargaining Model," Econometrica, Econometric Society, vol. 50(1), pages 97-109, January.
    2. Joan Esteban & Debraj Ray, 2008. "Polarization, Fractionalization and Conflict," Journal of Peace Research, Peace Research Institute Oslo, vol. 45(2), pages 163-182, March.
    3. Georgiadis, George & Kim, Youngsoo & Kwon, H. Dharma, 2022. "The absence of attrition in a war of attrition under complete information," Games and Economic Behavior, Elsevier, vol. 131(C), pages 171-185.
    4. Fearon, James D., 1995. "Rationalist explanations for war," International Organization, Cambridge University Press, vol. 49(3), pages 379-414, July.
    5. Maxime Menuet & Petros G. Sekeris, 2021. "Overconfidence and conflict," Economic Inquiry, Western Economic Association International, vol. 59(4), pages 1483-1499, October.
    6. Azevedo, Alcino & Paxson, Dean, 2014. "Developing real option game models," European Journal of Operational Research, Elsevier, vol. 237(3), pages 909-920.
    7. Alesina, Alberto & Drazen, Allan, 1991. "Why Are Stabilizations Delayed?," American Economic Review, American Economic Association, vol. 81(5), pages 1170-1188, December.
    8. Sambuddha Ghosh & Gabriele Gratton & Caixia Shen, 2019. "Intimidation: Linking Negotiation And Conflict," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 60(4), pages 1589-1618, November.
    9. Alex Robson & Stergios Skaperdas, 2008. "Costly enforcement of property rights and the Coase theorem," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 36(1), pages 109-128, July.
    10. Smirnov, Vladimir & Wait, Andrew, 2015. "Innovation in a generalized timing game," International Journal of Industrial Organization, Elsevier, vol. 42(C), pages 23-33.
    11. Anbarci, Nejat & Skaperdas, Stergios & Syropoulos, Constantinos, 2002. "Comparing Bargaining Solutions in the Shadow of Conflict: How Norms against Threats Can Have Real Effects," Journal of Economic Theory, Elsevier, vol. 106(1), pages 1-16, September.
    12. Fudenberg, Drew & Tirole, Jean, 1986. "A Theory of Exit in Duopoly," Econometrica, Econometric Society, vol. 54(4), pages 943-960, July.
    13. Guidotti, Pablo E & Vegh, Carlos A, 1999. "Losing Credibility: The Stabilization Blues," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 40(1), pages 23-51, February.
    14. Thomas Wiseman, 2017. "When Does Predation Dominate Collusion?," Econometrica, Econometric Society, vol. 85, pages 555-584, March.
    15. Baye, Michael R & Kovenock, Dan & de Vries, Casper G, 1999. "The Incidence of Overdissipation in Rent-Seeking Contests," Public Choice, Springer, vol. 99(3-4), pages 439-454, June.
    16. Ponsati C. & Sakovics, J., 1996. "The war of attrition with incomplete information," Mathematical Social Sciences, Elsevier, vol. 31(1), pages 54-54, February.
    17. 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 663-680, November.
    18. Paul Klemperer & Jeremy Bulow, 1999. "The Generalized War of Attrition," American Economic Review, American Economic Association, vol. 89(1), pages 175-189, March.
    19. Dilip Abreu & Faruk Gul, 2000. "Bargaining and Reputation," Econometrica, Econometric Society, vol. 68(1), pages 85-118, January.
    20. Boris van Leeuwen & Theo Offerman & Jeroen van de Ven, 2022. "Fight or Flight: Endogenous Timing in Conflicts," The Review of Economics and Statistics, MIT Press, vol. 104(2), pages 217-231, May.
    21. Drazen, Allan & Grilli, Vittorio, 1993. "The Benefit of Crises for Economic Reforms," American Economic Review, American Economic Association, vol. 83(3), pages 598-607, June.
    22. 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 87-130, Supplemen.
    23. Yuya Takahashi, 2015. "Estimating a War of Attrition: The Case of the US Movie Theater Industry," American Economic Review, American Economic Association, vol. 105(7), pages 2204-2241, July.
    24. Fudenberg, Drew & Gilbert, Richard & Stiglitz, Joseph & Tirole, Jean, 1983. "Preemption, leapfrogging and competition in patent races," European Economic Review, Elsevier, vol. 22(1), pages 3-31, June.
    25. Pankaj Ghemawat & Barry Nalebuff, 1990. "The Devolution of Declining Industries," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 105(1), pages 167-186.
    26. Padovano, Fabio & Venturi, Larissa, 2001. "Wars of Attrition in Italian Government Coalitions and Fiscal Performance: 1948-1994," Public Choice, Springer, vol. 109(1-2), pages 15-54, October.
    27. Oliver Hart, 1989. "Bargaining and Strikes," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 104(1), pages 25-43.
    28. Geraghty, Thomas M. & Wiseman, Thomas, 2008. "Wage strikes in 1880s America: A test of the war of attrition model," Explorations in Economic History, Elsevier, vol. 45(4), pages 303-326, September.
    29. 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.
    30. Bresnahan, Timothy F, 1987. "Competition and Collusion in the American Automobile Industry: The 1955 Price War," Journal of Industrial Economics, Wiley Blackwell, vol. 35(4), pages 457-482, June.
    31. Johannes Hörner & Nicolas Sahuguet, 2011. "A war of attrition with endogenous effort levels," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 47(1), pages 1-27, May.
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    More about this item

    JEL classification:

    • D74 - Microeconomics - - Analysis of Collective Decision-Making - - - Conflict; Conflict Resolution; Alliances; Revolutions
    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design

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