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Towards an axiomatization of the core-center

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Listed:
  • González-Díaz, Julio
  • Sánchez-Rodríguez, Estela

Abstract

The core-center is an allocation rule introduced in González-Díaz and Sánchez-Rodríguez (González-Díaz, J., Sánchez-Rodríguez, E., 2007. A natural selection from the core of a TU game: The core-center. International Journal of Game Theory 36, 27-46. doi: 10.1007/s00182-007-0074-5) for the class of games with a non-empty core. In this paper we present a weighted additivity axiom, which we call trade-off property, and use it to obtain two characterizations of the core-center.

Suggested Citation

  • González-Díaz, Julio & Sánchez-Rodríguez, Estela, 2009. "Towards an axiomatization of the core-center," European Journal of Operational Research, Elsevier, vol. 195(2), pages 449-459, June.
    • Handle: RePEc:eee:ejores:v:195:y:2009:i:2:p:449-459
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    References listed on IDEAS

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    1. Emilio Calvo & Hans Peters, 2000. "Dynamics and axiomatics of the equal area bargaining solution," International Journal of Game Theory, Springer;Game Theory Society, vol. 29(1), pages 81-92.
    2. M. Maschler & B. Peleg & L. S. Shapley, 1979. "Geometric Properties of the Kernel, Nucleolus, and Related Solution Concepts," Mathematics of Operations Research, INFORMS, vol. 4(4), pages 303-338, November.
    3. Anbarci, Nejat & Bigelow, John P., 1994. "The area monotonic solution to the cooperative bargaining problem," Mathematical Social Sciences, Elsevier, vol. 28(2), pages 133-142, October.
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