A note on multinomial probabilistic values

Francesc Carreras ^[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. 26, Nº. 1, 2018, págs. 164-186
Idioma: inglés
Enlaces
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Resumen
- Multinomial values were previously introduced by one of the authors in reliability and extended later to all cooperative games. Here, we present for this subfamily of probabilistic values three new results, previously stated only for binomial semivalues in the literature. They concern the dimension of the subspace spanned by the multinomial values and two characterizations: one, individual, for each multinomial value; another, collective, for the whole subfamily they form. Finally, an application to simple games is provided.