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Choosing Fair Lotteries to Defeat the Competition

  • Wagman, Liad
  • Conitzer, Vincent

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
Date of revision:
Handle: RePEc:pra:mprapa:10375
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  1. Baye, M.R. & Kovenock, D. & De Vries, C.G., 1991. "The All-Pay Auction With Complete Information," Purdue University Economics Working Papers 1007, Purdue University, Department of Economics.
  2. 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.
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  8. Tor Klette & David de Meza, 1986. "Is the Market Biased Against Risky R&D?," RAND Journal of Economics, The RAND Corporation, vol. 17(1), pages 133-139, Spring.
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  10. Richard Gilbert and Carl Shapiro., 1989. "Optimal Patent Length and Breadth," Economics Working Papers 89-102, University of California at Berkeley.
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  13. Anderson, Axel & Cabral, Luís M B, 2004. "Go For Broke or Play it Safe? Dynamic Competition with Choice of Variance," CEPR Discussion Papers 4249, C.E.P.R. Discussion Papers.
  14. Cabral, Luis M. B., 2002. "Increasing Dominance with No Efficiency Effect," Journal of Economic Theory, Elsevier, vol. 102(2), pages 471-479, February.
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  16. Kyle Bagwell & Robert W. Staiger, 1990. "Risky R&D in Oligopolistic Product Markets," Discussion Papers 872, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  17. Cabral, Luis, 1994. "Bias in market R&D portfolios," International Journal of Industrial Organization, Elsevier, vol. 12(4), pages 533-547, December.
  18. Baye, Michael R. & Hoppe, Heidrun C., 2003. "The strategic equivalence of rent-seeking, innovation, and patent-race games," Games and Economic Behavior, Elsevier, vol. 44(2), pages 217-226, August.
  19. Kenneth L. Judd, 2003. "Closed-loop equilibrium in a multi-stage innovation race," Economic Theory, Springer, vol. 21(2), pages 673-695, 03.
  20. Laffont, Jean-Jacques & Robert, Jacques, 1996. "Optimal auction with financially constrained buyers," Economics Letters, Elsevier, vol. 52(2), pages 181-186, August.
  21. Luís M. B. Cabral, 2003. "R&D Competition when firms Choose Variance," Journal of Economics & Management Strategy, Wiley Blackwell, vol. 12(1), pages 139-150, 03.
  22. Ron Siegel, 2009. "All-Pay Contests," Econometrica, Econometric Society, vol. 77(1), pages 71-92, 01.
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