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Interconnected Conflict

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  • DziubiÅ„ski, M.
  • Goyal, S.
  • Zhou, J.

Abstract

We study a model of conflict with multiple battlefields and the possibility of investments spillovers between the battlefields. Results of conflicts at the individual battlefields are determined by the Tullock contest success function based on efforts assigned to a battlefield as well as efforts spilling over from the neighbouring battlefields. We characterize Nash equilibria of this model and uncover a network invariance result: equilibrium payoffs, equilibrium total expenditure, and equilibrium probabilities of winning individual battlefields are independent of the network of spillovers. We show that the network invariance holds for any contest success function that is homogeneous of degree zero and has the no-tie property. We define a network index that characterizes equilibrium efforts assignments of the players. We show that the index satisfies neighbourhood inclusion and can, therefore, be considered a network centrality.

Suggested Citation

  • DziubiÅ„ski, M. & Goyal, S. & Zhou, J., 2024. "Interconnected Conflict," Cambridge Working Papers in Economics 2408, Faculty of Economics, University of Cambridge.
    • Handle: RePEc:cam:camdae:2408
    Note: sg472
    as

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    References listed on IDEAS

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    Keywords

    Conflict; Investments; Models; Networks;
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