Probabilistic network values
| Autor: | Surajit Borkotokey, Subhadip Chakrabarti, Rajnish Kumar, Loyimee Gogoi, Robert P. Gilles |
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| Jazyk: | angličtina |
| Rok vydání: | 2021 |
| Předmět: |
Computer Science::Computer Science and Game Theory
Mathematical optimization Class (set theory) Axiomatic characterization Sociology and Political Science Computer science The probabilistic position value Probabilistic logic General Social Sciences The probabilistic Myerson value Social Sciences(all) Probabilistic network game Bargaining power Multilinear form Position (vector) Component (UML) Statistics Probability and Uncertainty Link (knot theory) Value (mathematics) Psychology(all) General Psychology |
| Zdroj: | Borkotokey, S, Chakrabarti, S, Gilles, R P, Gogoi, L & Kumar, R 2021, ' Probabilistic network values ', Mathematical Social Sciences, vol. 113, pp. 169-180 . https://doi.org/10.1016/j.mathsocsci.2021.07.003, https://doi.org/10.1016/j.mathsocsci.2021.07.003 |
| Popis: | We consider a class of cooperative network games with transferable utilities in which players interact through a probabilistic network rather than a regular, deterministic network. In this class of wealth-generating situations we consider probabilistic extensions of the Myerson value and the position value. For the subclass of probabilistic network games in multilinear form, we establish characterizations of these values using an appropriate formulation of component balancedness. We show axiomatizations based on extensions of the well-accepted properties of equal bargaining power, balanced contributions, and balanced link contributions. |
| Databáze: | OpenAIRE |
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