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

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  • José Giménez
  • María Puente

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

Suggested Citation

  • José Giménez & María Puente, 2015. "A method to calculate generalized mixed modified semivalues: application to the Catalan Parliament (legislature 2012–2016)," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 23(3), pages 669-684, October.
    • Handle: RePEc:spr:topjnl:v:23:y:2015:i:3:p:669-684
    DOI: 10.1007/s11750-014-0356-6
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    References listed on IDEAS

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