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Dynamic Contests With Bankruptcy: The Despair Effect

Author

Listed:
  • Beviá Carmen

    (Universidad de Alicante, Alicante, Spain)

  • Corchón Luis C.

    (Universidad Carlos III de Madrid, Madrid, Spain)

Abstract

We analyze a two-period contest in which agents may become bankrupt at the end of the first period. A bankrupt agent is excluded from the contest in the second period of the game. We investigate the existence of a subgame perfect equilibrium in pure strategies. We distinguish between a borrowing equilibrium in which at least one agent might be bankrupted and a non borrowing equilibrium in which no agent is bankrupted. We prove that the former occurs when the agent taking loans is relatively poor and the future does not matter very much. This action represents the Despair Effect, in which severely handicapped agents take actions that jeopardize their existence in the long run but are currently helpful. We find conditions under which borrowing and non borrowing equilibria overlap and do not overlap. We provide an example in which no equilibrium exists.

Suggested Citation

  • Beviá Carmen & Corchón Luis C., 2016. "Dynamic Contests With Bankruptcy: The Despair Effect," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 16(1), pages 217-241, January.
    • Handle: RePEc:bpj:bejtec:v:16:y:2016:i:1:p:217-241:n:16
    DOI: 10.1515/bejte-2015-0060
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    More about this item

    Keywords

    dynamic contest; bankruptcy;

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • 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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