A method to calculate generalized mixed modified semivalues: application to the Catalan Parliament (legislature 2012–2016)

• José Miguel Giménez ^[1] ; María Albina Puente ^[1]
  1. [1] Universitat Politècnica de Catalunya

     Universitat Politècnica de Catalunya

     Barcelona, España

     
• Localización: Top, ISSN-e 1863-8279, ISSN 1134-5764, Vol. 23, Nº. 3, 2015, págs. 669-684
• Idioma: inglés
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• Resumen

  • We focus on generalized mixed modified semivalues, a family of coalitional values. They apply to games with a coalition structure by combining a (induced) semivalue in the quotient game, but share within each union the payoff so obtained by applying different (induced) semivalues to a game that concerns only the players of that union. A computation procedure in terms of the multilinear extension of the original game is also provided and an application to the Catalan Parliament (legislature 2012–2016) is shown.