A Note on Generalized Nash Games Played on Networks
| Autor: | Mauro Passacantando, Fabio Raciti |
|---|---|
| Přispěvatelé: | Rassias, TM, Passacantando, M, Raciti, F |
| Jazyk: | angličtina |
| Rok vydání: | 2021 |
| Předmět: |
Network games
Computer Science::Computer Science and Game Theory Variational inequali- ties Function (mathematics) Network centrality measure Variational inequalities Action (physics) Generalized Nash equilibrium Network Games Network centrality measures Quadratic equation Variational inequality Variational inequalitie Applied mathematics Generalized nash equilibrium Adjacency matrix Network game Series expansion Reference model Mathematics |
| Zdroj: | Nonlinear Analysis, Differential Equations, and Applications ISBN: 9783030725624 |
| Popis: | We investigate a generalized Nash equilibrium problem where players are modeled as nodes of a network and the utility function of each player depends on his/her own action as well as on the actions of his/her neighbors in the network. In the case of a quadratic reference model with shared constraints we are able to derive the variational solution of the game as a series expansion which involves the powers of the adjacency matrix, thus extending a previous result. Our analysis is illustrated by means of some numerical examples. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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