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Motivating over Time: Dynamic Win Effects in Sequential Contests

Author

Listed:
  • Clark, Derek J.

    () (Tromsø University Business School)

  • Nilssen, Tore

    () (Dept. of Economics, University of Oslo)

  • Sand, Jan Yngve

    () (Tromsø University Business School)

Abstract

In this paper we look at motivation over time by setting up a dynamic contest model where winning the fi…rst contest yields an advantage in the second contest. The win advantage introduces an asymmetry into the competition that we …find reduces the expected value to the contestants of being in the game, whilst it increases the efforts exerted. Hence it may seem that a win advantage is advantageous for an effort maximizing contest designer, whereas in expectation it will not be bene…cial for the players. We also show that the principal should distribute a majority of the total prize mass to the second contest. With ex ante asymmetry, the effect of the win advantage on the effort in the second contest depends on how disadvantaged the laggard is. A large disadvantage at the outset implies that as the win advantage increases, total effort for the disadvantaged …firm is reduced as the discouragement effect dominates the catching-up effect. If the inital disadvantage is not signi…ficant, then the catching-up effect dominates and the laggard increases its total effort.

Suggested Citation

  • Clark, Derek J. & Nilssen, Tore & Sand, Jan Yngve, 2012. "Motivating over Time: Dynamic Win Effects in Sequential Contests," Memorandum 28/2012, Oslo University, Department of Economics.
  • Handle: RePEc:hhs:osloec:2012_028
    as

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    File URL: https://www.sv.uio.no/econ/english/research/unpublished-works/working-papers/pdf-files/2012/memo-28-2012.pdf
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    References listed on IDEAS

    as
    1. Mehlum, Halvor & Moene, Karl, 2008. "King of the Hill: Positional Dynamics in Contests," Memorandum 06/2008, Oslo University, Department of Economics.
    2. Konrad, Kai A., 2009. "Strategy and Dynamics in Contests," OUP Catalogue, Oxford University Press, number 9780199549603.
    3. Konrad, Kai A. & Kovenock, Dan, 2009. "Multi-battle contests," Games and Economic Behavior, Elsevier, vol. 66(1), pages 256-274, May.
    4. Katz, Michael L & Shapiro, Carl, 1986. "Technology Adoption in the Presence of Network Externalities," Journal of Political Economy, University of Chicago Press, vol. 94(4), pages 822-841, August.
    5. Stergios Skaperdas, 1996. "Contest success functions (*)," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 7(2), pages 283-290.
    6. Christian Terwiesch & Yi Xu, 2008. "Innovation Contests, Open Innovation, and Multiagent Problem Solving," Management Science, INFORMS, vol. 54(9), pages 1529-1543, September.
    7. Kevin J. Boudreau & Nicola Lacetera & Karim R. Lakhani, 2011. "Incentives and Problem Uncertainty in Innovation Contests: An Empirical Analysis," Management Science, INFORMS, vol. 57(5), pages 843-863, May.
    8. Derek Clark & Tore Nilssen, 2013. "Learning by doing in contests," Public Choice, Springer, vol. 156(1), pages 329-343, July.
    9. Xiaotong Li, 2005. "Cheap Talk and Bogus Network Externalities in the Emerging Technology Market," Marketing Science, INFORMS, vol. 24(4), pages 531-543, October.
    10. Pablo Casas-Arce & F. Asís Martínez-Jerez, 2009. "Relative Performance Compensation, Contests, and Dynamic Incentives," Management Science, INFORMS, vol. 55(8), pages 1306-1320, August.
    11. Martin Grossmann & Helmut M. Dietl, 2009. "Investment Behaviour in a Two-Period Contest Model," Journal of Institutional and Theoretical Economics (JITE), Mohr Siebeck, Tübingen, vol. 165(3), pages 401-417, September.
    12. Ajay Kalra & Mengze Shi, 2001. "Designing Optimal Sales Contests: A Theoretical Perspective," Marketing Science, INFORMS, vol. 20(2), pages 170-193, December.
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    Citations

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    Cited by:

    1. Klein, Arnd Heinrich & Schmutzler, Armin, 2017. "Optimal effort incentives in dynamic tournaments," Games and Economic Behavior, Elsevier, vol. 103(C), pages 199-224.
    2. repec:eee:pubeco:v:160:y:2018:i:c:p:82-95 is not listed on IDEAS
    3. Clark, Derek J. & Nilssen , Tore & Sand, Jan Yngve, 2014. "Keep on Fighting: Dynamic Win Effects in an All-Pay Auction," Memorandum 23/2014, Oslo University, Department of Economics.

    More about this item

    Keywords

    dynamic contest; win advantage; prize division;

    JEL classification:

    • D72 - Microeconomics - - Analysis of Collective Decision-Making - - - Political Processes: Rent-seeking, Lobbying, Elections, Legislatures, and Voting Behavior
    • D74 - Microeconomics - - Analysis of Collective Decision-Making - - - Conflict; Conflict Resolution; Alliances; Revolutions

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