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Forming and Dissolving Partnerships in Cooperative Game Situations

Author

Listed:
  • Trine Tornøe Platz

    (Department of Economics, University of Copenhagen)

  • Lars Peter Østerdal

    (Department of Economics, University of Copenhagen)

Abstract

A group of players in a cooperative game are partners (e.g., as in the form of a union or a joint ownership) if the prospects for cooperation are restricted such that cooperation with players outside the partnership requires the accept of all the partners. The formation of such partnerships through binding agreements may change the game implying that players could have incentives to manipulate a game by forming or dissolving partnerships. The present paper seeks to explore the existence of allocation rules that are immune to this type of manipulation. An allocation rule that distributes the worth of the grand coalition among players, is called partnership formation-proof if it ensures that it is never jointly profitable for any group of players to form a partnership and partnership dissolution-proof if no group can ever profit from dissolving a partnership. The paper provides results on the existence of such allocation rules for general classes of games as well as more specific results concerning well known allocation rules.

Suggested Citation

  • Trine Tornøe Platz & Lars Peter Østerdal, 2009. "Forming and Dissolving Partnerships in Cooperative Game Situations," Discussion Papers 10-24, University of Copenhagen. Department of Economics, revised Sep 2010.
  • Handle: RePEc:kud:kuiedp:1024
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    References listed on IDEAS

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    More about this item

    Keywords

    cooperative games; partnerships; partnership formation-proof; partnership dissolution-proof;

    JEL classification:

    • C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
    • D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement
    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations

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