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The role of the second prize in all-pay auctions with two heterogeneous prizes

Author

Listed:
  • Cohen, Chen
  • Lagziel, David
  • Levi, Ofer
  • Sela, Aner

Abstract

We study complete information all-pay contests with n players and two heterogeneous prizes with distinct values. Among the players, n−1 are symmetric (i.e., they evaluate the prizes in a similar manner), whereas the remaining player has different valuations for each of the prizes. Our analysis focuses on the equilibrium profiles and expected payoffs for the case of three players. We also partially extend our analysis for cases with additional players. Our results show that in all-pay auctions with heterogeneous prizes, the ordering of the players according to their expected payoffs in equilibrium might vary significantly, depending on both prizes. Furthermore, although the values for the first (larger) prize have the greatest effect on the identity of the players with positive expected payoffs, the value of the second prize might have a non-negligible effect.

Suggested Citation

  • Cohen, Chen & Lagziel, David & Levi, Ofer & Sela, Aner, 2023. "The role of the second prize in all-pay auctions with two heterogeneous prizes," Journal of Mathematical Economics, Elsevier, vol. 105(C).
    • Handle: RePEc:eee:mateco:v:105:y:2023:i:c:s0304406823000137
    DOI: 10.1016/j.jmateco.2023.102820
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    References listed on IDEAS

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    More about this item

    Keywords

    All-pay contests; Multiple prizes; Complete information;
    All these keywords.

    JEL classification:

    • D44 - Microeconomics - - Market Structure, Pricing, and Design - - - Auctions
    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design
    • J31 - Labor and Demographic Economics - - Wages, Compensation, and Labor Costs - - - Wage Level and Structure; Wage Differentials
    • J41 - Labor and Demographic Economics - - Particular Labor Markets - - - Labor Contracts

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