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On the intersection between the imputation setand the Weber set

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  • F. Javier Martinez-de-Albeniz
  • Carles Rafels

Abstract

This paper presents a characterization of the non-emptiness of the intersection between the imputation set and the Weber set. Tools from non-cooperative zero-sum finite games are used. We assign a matrix game to any cooperative game and the sign of the value of this matrix game is used for the characterization mentioned above. The cases of two or three players are discussed. Moreover, bounds and some particular cases for this value are studied. Copyright Kluwer Academic Publishers 1998

Suggested Citation

  • F. Javier Martinez-de-Albeniz & Carles Rafels, 1998. "On the intersection between the imputation setand the Weber set," Annals of Operations Research, Springer, vol. 84(0), pages 111-120, December.
    • Handle: RePEc:spr:annopr:v:84:y:1998:i:0:p:111-120:10.1023/a:1018928618125
    DOI: 10.1023/A:1018928618125
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    JEL classification:

    • C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games

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