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On the core, the Weber set and convexity in games with a priori unions

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  • Pulido, Manuel A.
  • Sánchez-Soriano, Joaquín

Abstract

This paper deals with the concepts of core and Weber set with a priori unions à la Owen. As far as we know, the Owen approach to games with a priori unions has never been studied from the coalitional stability point of view. Thus we introduce the coalitional core and coalitional Weber set and characterize the class of convex games with a priori unions by means of the relationships between both solution concepts.

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  • Pulido, Manuel A. & Sánchez-Soriano, Joaquín, 2009. "On the core, the Weber set and convexity in games with a priori unions," European Journal of Operational Research, Elsevier, vol. 193(2), pages 468-475, March.
  • Handle: RePEc:eee:ejores:v:193:y:2009:i:2:p:468-475
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