An extension of the tau-value to games with coalition structures

  1. Casas Méndez, Balbina Virginia
  2. García Jurado, Ignacio
  3. Vázquez Campos, Margarita
  4. Van de Nouweland, Anne
Book:
Abstracts of the Fifth Spanish Meeting on Game Theory and Applications
  1. Bilbao Arrese, Jesús Mario (coord.)
  2. Fernández García, Francisco Ramón (coord.)

Publisher: Universidad de Sevilla

ISBN: 84-472-0733-1

Year of publication: 2002

Pages: 9

Type: Book chapter

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Abstract

We introduce the coalitional ô -value, which is an extension of the ô-value for TU-games to games with a priori unions. We identify a class of TU-games that satisfy the property that for every game in this class and every system of a priori unions of its player set it holds that the coalitional ô -value can be defined for the corresponding game with a priori unions. We study properties of the coalitional ô -value and provide an axiomatic characterization of this allocation rule. We use the coalitional ô -value to study bankruptcy problems and the determination of aircraft landing fees.

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