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Choosing Fair Lotteries to Defeat the Competition

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Author Info
Wagman, Liad
Conitzer, Vincent

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Abstract

We study the following game: each agent i chooses a lottery over nonnegative numbers whose expectation is equal to his budget b_i. The agent with the highest realized outcome wins and agents only care about winning). This game is motivated by various real-world settings where agents each choose a gamble and the primary goal is to come out ahead. Such settings include patent races, stock market competitions, and R&D tournaments. We show that there is a unique symmetric equilibrium when budgets are equal. We proceed to study and solve extensions, including settings where agents must obtain a minimum outcome to win; where agents choose their budgets (at a cost); and where budgets are private information.

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Paper provided by University Library of Munich, Germany in its series MPRA Paper with number 10375.

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Date of creation: 14 Aug 2008
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Handle: RePEc:pra:mprapa:10375

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Related research
Keywords: Strategic gambling Nash equilibrium fair lotteries

Find related papers by JEL classification:
D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty
L20 - Industrial Organization - - Firm Objectives, Organization, and Behavior - - - General
C70 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - General
C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games

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    Other versions:
  3. van Dijk, Theon, 1996. "Patent Height and Competition in Product Improvements," Journal of Industrial Economics, Blackwell Publishing, vol. 44(2), pages 151-67, June. [Downloadable!] (restricted)
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  6. Richard Gilbert & Carl Shapiro, 1990. "Optimal Patent Length and Breadth," RAND Journal of Economics, The RAND Corporation, vol. 21(1), pages 106-112, Spring. [Downloadable!] (restricted)
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  7. Skaperdas, Stergios, 1996. "Contest Success Functions," Economic Theory, Springer, vol. 7(2), pages 283-90, February.
  8. Uwe Dulleck & Paul Frijters & Konrad Podczeck, 2006. "All-pay Auctions with Budget Constraints and Fair Insurance," Vienna Economics Papers 0605, University of Vienna, Department of Economics. [Downloadable!]
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  9. Nancy T. Gallini, 1992. "Patent Policy and Costly Imitation," RAND Journal of Economics, The RAND Corporation, vol. 23(1), pages 52-63, Spring. [Downloadable!] (restricted)
  10. Laffont, Jean-Jacques & Robert, Jacques, 1996. "Optimal auction with financially constrained buyers," Economics Letters, Elsevier, vol. 52(2), pages 181-186, August. [Downloadable!] (restricted)
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  12. Dan Kovenock & Michael R. Baye & Casper G. de Vries, 1996. "The all-pay auction with complete information (*)," Economic Theory, Springer, vol. 8(2), pages 291-305.
  13. Stergios Skaperdas, 1996. "Contest success functions (*)," Economic Theory, Springer, vol. 7(2), pages 283-290.
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