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Conflict between Non-exclusive Groups

Author

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  • Jonas Send

Abstract

How is group conflict over a public-good prize affected when individuals are active members of multiple groups simultaneously? To investigate this question, I introduce a simple model of Tullock group contest: individuals are partitioned into two groups in two dimensions each, the group-level impact function is concave, and effort cost convex. The additional partition dimension does not alter the level of aggregate and individual effort. Asymmetries in group size and effort cost have non-monotonic effects on individual efforts and expected utilities. The formation of an active additional group is beneï¬ cial for its members and detrimental to outsiders. I generalise the model to an arbitrary number of symmetric groups in an arbitrary number of dimensions and briefly investigate the full positive range of the Tullock exponent. Additional group dimensions do not alter expected utilities of existing equilibria.

Suggested Citation

  • Jonas Send, 2019. "Conflict between Non-exclusive Groups," Working Papers tax-mpg-rps-2021-11_2, Max Planck Institute for Tax Law and Public Finance.
    • Handle: RePEc:mpi:wpaper:tax-mpg-rps-2021-11_2
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    More about this item

    Keywords

    Group Contest; Multiple Group Membership; Public-good Prize; Tullock Contest; Cost Asymmetry; Group-size Asymmetry;
    All these keywords.

    JEL classification:

    • C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations
    • D74 - Microeconomics - - Analysis of Collective Decision-Making - - - Conflict; Conflict Resolution; Alliances; Revolutions

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