New characterizations and a concept of potential for each multinomial (probabilistic) value
In this paper we focus on multinomial probabilistic values and we consider two special classes of players: necessary and nullifying players. By introducing new properties related to this kind of players, we provide new axiomatic characterizations of each multinomial probabilistic value, giving, in a...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2024 |
| País: | España |
| Institución: | Universitat Politècnica de Catalunya (UPC) |
| Repositorio: | UPCommons. Portal del coneixement obert de la UPC |
| Idioma: | inglés |
| OAI Identifier: | oai:upcommons.upc.edu:2117/401322 |
| Acceso en línea: | https://hdl.handle.net/2117/401322 https://dx.doi.org/10.1016/j.dam.2024.01.021 |
| Access Level: | acceso abierto |
| Palabra clave: | Cooperative games (Mathematics) Potential theory (Mathematics) Cooperative game Multinomial probabilistic value Potential Jocs cooperatius (Matemàtica) Potencial, Teoria del Àrees temàtiques de la UPC::Matemàtiques i estadística::Investigació operativa::Teoria de jocs |
| Sumario: | In this paper we focus on multinomial probabilistic values and we consider two special classes of players: necessary and nullifying players. By introducing new properties related to this kind of players, we provide new axiomatic characterizations of each multinomial probabilistic value, giving, in all cases, a set of independent properties that univocally determine them. Moreover, when the profile defining the value is positive, the multilinear extension is interpreted as a potential function and provides a computational tool. |
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