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Competitive problem solving and the optimal prize schemes

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  • Suzuki, Toru

Abstract

Agents compete to solve a problem. Each agent simultaneously chooses either a safe method or a risky method to solve the problem. This paper analyzes a prize scheme as an incentive to induce the optimal risk-taking level which maximizes the designerʼs interest. It is shown that whenever the winner-take-all scheme induces excessive risk-taking, there exists a prize scheme which induces the optimal risk-taking. Moreover, the existence of such a prize scheme is guaranteed if the number of competitors is sufficiently large.

Suggested Citation

  • Suzuki, Toru, 2012. "Competitive problem solving and the optimal prize schemes," Games and Economic Behavior, Elsevier, vol. 75(2), pages 1009-1013.
    • Handle: RePEc:eee:gamebe:v:75:y:2012:i:2:p:1009-1013
    DOI: 10.1016/j.geb.2012.02.016
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    References listed on IDEAS

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    1. Lazear, Edward P & Rosen, Sherwin, 1981. "Rank-Order Tournaments as Optimum Labor Contracts," Journal of Political Economy, University of Chicago Press, vol. 89(5), pages 841-864, October.
    2. Kräkel, Matthias, 2008. "Optimal risk taking in an uneven tournament game with risk averse players," Journal of Mathematical Economics, Elsevier, vol. 44(11), pages 1219-1231, December.
    3. Benny Moldovanu & Aner Sela, 2008. "The Optimal Allocation of Prizes in Contests," Springer Books, in: Roger D. Congleton & Arye L. Hillman & Kai A. Konrad (ed.), 40 Years of Research on Rent Seeking 1, pages 615-631, Springer.
    4. Hans K. Hvide, 2002. "Tournament Rewards and Risk Taking," Journal of Labor Economics, University of Chicago Press, vol. 20(4), pages 877-898, October.
    5. Partha Dasgupta & Joseph Stiglitz, 1980. "Uncertainty, Industrial Structure, and the Speed of R&D," Bell Journal of Economics, The RAND Corporation, vol. 11(1), pages 1-28, Spring.
    6. Moldovanu, Benny & Sela, Aner, 2006. "Contest architecture," Journal of Economic Theory, Elsevier, vol. 126(1), pages 70-96, January.
    7. Fershtman, Chaim & Rubinstein, Ariel, 1997. "A Simple Model of Equilibrium in Search Procedures," Journal of Economic Theory, Elsevier, vol. 72(2), pages 432-441, February.
    8. Yeon-Koo Che & Ian Gale, 2003. "Optimal Design of Research Contests," American Economic Review, American Economic Association, vol. 93(3), pages 646-671, June.
    9. Dekel, Eddie & Scotchmer, Suzanne, 1999. "On the Evolution of Attitudes towards Risk in Winner-Take-All Games," Journal of Economic Theory, Elsevier, vol. 87(1), pages 125-143, July.
    10. Taylor, Curtis R, 1995. "Digging for Golden Carrots: An Analysis of Research Tournaments," American Economic Review, American Economic Association, vol. 85(4), pages 872-890, September.
    11. Jean Tirole, 1988. "The Theory of Industrial Organization," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262200716, April.
    12. Hvide, Hans K. & Kristiansen, Eirik G., 2003. "Risk taking in selection contests," Games and Economic Behavior, Elsevier, vol. 42(1), pages 172-179, January.
    13. Madhav V. Rajan & Stefan Reichelstein, 2006. "Subjective Performance Indicators and Discretionary Bonus Pools," Journal of Accounting Research, Wiley Blackwell, vol. 44(3), pages 585-618, June.
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    Cited by:

    1. Lorens Imhof & Matthias Kräkel, 2016. "Ex post unbalanced tournaments," RAND Journal of Economics, RAND Corporation, vol. 47(1), pages 73-98, February.

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    More about this item

    Keywords

    Optimal prize scheme; Risk taking; Experimentation; Problem solving;
    All these keywords.

    JEL classification:

    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design
    • D83 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Search; Learning; Information and Knowledge; Communication; Belief; Unawareness
    • O32 - Economic Development, Innovation, Technological Change, and Growth - - Innovation; Research and Development; Technological Change; Intellectual Property Rights - - - Management of Technological Innovation and R&D

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