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

José Giménez () and María Puente ()

TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, 2015, vol. 23, issue 3, 669-684

Abstract: 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. Copyright Sociedad de Estadística e Investigación Operativa 2015

Keywords: Cooperative game; Semivalues; Coalition structure; Multilinear extension; 91A12 (search for similar items in EconPapers)
Date: 2015
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DOI: 10.1007/s11750-014-0356-6

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