On the axiomatic characterization of the coalitional 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. 30, Nº. 1, 2022, págs. 119-151
• Idioma: inglés
• Enlaces
  • Texto completo (pdf)
• Resumen

  • The coalitional multinomial probabilistic values extend the notion of multinomial probabilistic value to games with a coalition structure, in such a way that they generalize the symmetric coalitional binomial semivalues and link and combine the Shapley value and the multinomial probabilistic values. By considering the property of balanced contributions within unions, a new axiomatic characterization is stated for each one of these coalitional values, provided that it is defned by a positive tendency profle, by means of a set of logically independent properties that univocally determine the value. Two applications are also shown: (a) to the Madrid Assembly in Legislature 2015–2019 and (b) to the Parliament of Andalucía in Legislature 2018–2022.