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Optimal Risk Taking in an Uneven Tournament Game with Risk Averse Players

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  • Matthias Kräkel

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Abstract

We analyze the optimal choice of risk in a two-stage tournament game between two players that have different concave utility functions. At the first stage, both players simultaneously choose risk. At the second stage, both observe overall risk and simultaneously decide on effort or investment. The results show that those two effects which mainly determine risk taking - an effort effect and a likelihood effect - are strictly interrelated. This finding sharply contrasts with existing results on risk taking in tournament games with symmetric equilibrium efforts where such linkage can never arise. Hence, previous findings based on symmetry at the effort stage turn out to be nongeneric.

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Bibliographic Info

Paper provided by University of Bonn, Germany in its series Bonn Econ Discussion Papers with number bgse4_2007.

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Length: 31
Date of creation: Apr 2007
Date of revision:
Handle: RePEc:bon:bonedp:bgse4_2007

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Postal: Bonn Graduate School of Economics, University of Bonn, Adenauerallee 24 - 26, 53113 Bonn, Germany
Fax: +49 228 73 6884
Web page: http://www.bgse.uni-bonn.de

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Keywords: asymmetric equilibria; rank-order tournaments; risk taking;

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  1. Matthias Kräkel & Dirk Sliwka, 2001. "Risk Taking in Asymmetric Tournaments," Bonn Econ Discussion Papers bgse33_2001, University of Bonn, Germany.
  2. Konrad, Kai A., 2007. "Strategy in contests: an introduction," Discussion Papers, Research Unit: Market Processes and Governance SP II 2007-01, Social Science Research Center Berlin (WZB).
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  8. J. Atsu Amegashie, 2009. "American Idol: should it be a singing contest or a popularity contest?," Journal of Cultural Economics, Springer, vol. 33(4), pages 265-277, November.
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  22. repec:ebl:ecbull:v:28:y:2007:i:16:p:a0 is not listed on IDEAS
  23. Anja Schöttner, 2008. "Fixed-prize tournaments versus first-price auctions in innovation contests," Economic Theory, Springer, vol. 35(1), pages 57-71, April.
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Citations

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Cited by:
  1. J. Atsu Amegashie, 2007. "American Idol: Should it be a Singing Contest or a Popularity Contest?," CESifo Working Paper Series 2171, CESifo Group Munich.
  2. Toru Suzuki, 2010. "Competitive Problem Solving and the Optimal Prize Schemes," Jena Economic Research Papers 2010-083, Friedrich-Schiller-University Jena, Max-Planck-Institute of Economics.
  3. Kräkel, Matthias & Schöttner, Anja, 2010. "Technology choice, relative performance pay, and worker heterogeneity," Journal of Economic Behavior & Organization, Elsevier, vol. 76(3), pages 748-758, December.

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