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Strong equilibria in claim games corresponding to convex games

Author

Listed:
  • Meca-Martinez, A.
  • Sánchez-Soriano, J.
  • Garcia-Jurado, I.
  • Tijs, S.H.

    (Tilburg University, School of Economics and Management)

Abstract

This paper deals with a specific aspect of the problem of coalition formation in a situation described by a TU-game. First, we define a very simple normal form game which models the process of coalition formation. To define the payoff functions of the players we use an allocation rule for TU-games. The main objective of this paper is ascertain what conditions of the allocation rule lead to the grand coalition being a strong equilibrium of the normal form game, when the original TU-game is convex.
(This abstract was borrowed from another version of this item.)

Suggested Citation

  • Meca-Martinez, A. & Sánchez-Soriano, J. & Garcia-Jurado, I. & Tijs, S.H., 1998. "Strong equilibria in claim games corresponding to convex games," Other publications TiSEM 5dcbfae1-fc1c-4d6b-b032-c, Tilburg University, School of Economics and Management.
    • Handle: RePEc:tiu:tiutis:5dcbfae1-fc1c-4d6b-b032-c3add4f83c23
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    Cited by:

    1. Guajardo, Mario & Rönnqvist, Mikael, 2015. "Operations research models for coalition structure in collaborative logistics," European Journal of Operational Research, Elsevier, vol. 240(1), pages 147-159.
    2. Slikker, M., 1999. "Coalition Formation and Potential Games," Other publications TiSEM 5d4b7f7b-20a0-440f-a4c2-6, Tilburg University, School of Economics and Management.
    3. Slikker, Marco, 2001. "Coalition Formation and Potential Games," Games and Economic Behavior, Elsevier, vol. 37(2), pages 436-448, November.
    4. Shawei He, 2019. "Coalition Analysis in Basic Hierarchical Graph Model for Conflict Resolution with Application to Climate Change Governance Disputes," Group Decision and Negotiation, Springer, vol. 28(5), pages 879-906, October.

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