Minimal large sets for cooperative games

• F. Javier Martínez-de-Albéniz ^[1] ; Carles Rafels ^[1]
  1. [1] Universitat de Barcelona

     Universitat de Barcelona

     Barcelona, España

     
• Localización: Top, ISSN-e 1863-8279, ISSN 1134-5764, Vol. 15, Nº. 2, 2007, págs. 242-255
• Idioma: inglés
• DOI: 10.1007/s11750-007-0016-1
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• Resumen

  • We analyze the concept of large set for a coalitional game v introduced by Martínez-de-Albéniz and Rafels (Int. J. Game Theory 33(1):107–114, 2004). We give some examples and identify some of these sets. The existence of such sets for any game is proved, and several properties of largeness are provided. We focus on the minimality of such sets and prove its existence using Zorn’s lemma.