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.

Passacantando, M., Raciti, F. (2021). A Note on Generalized Nash Games Played on Networks. In T.M. Rassias (a cura di), Nonlinear Analysis, Differential Equations, and Applications (pp. 365-380). Springer [10.1007/978-3-030-72563-1_16].

A Note on Generalized Nash Games Played on Networks

Passacantando, M;
2021

Abstract

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.
Capitolo o saggio
Generalized Nash equilibrium; Network centrality measures; Network games; Variational inequalities;
English
Nonlinear Analysis, Differential Equations, and Applications
978-3-030-72562-4
Softcover ISBN 978-3-030-72565-5; eBook ISBN 978-3-030-72563-1
Passacantando, M., Raciti, F. (2021). A Note on Generalized Nash Games Played on Networks. In T.M. Rassias (a cura di), Nonlinear Analysis, Differential Equations, and Applications (pp. 365-380). Springer [10.1007/978-3-030-72563-1_16].
Passacantando, M; Raciti, F
File in questo prodotto:
File Dimensione Formato  
Passacantando-2021-Nonlinear analysis differ eq-AAM.pdf

embargo fino al 15/03/2023

Descrizione: Contributo in libro
Tipologia di allegato: Author’s Accepted Manuscript, AAM (Post-print)
Dimensione 475.35 kB
Formato Adobe PDF
475.35 kB Adobe PDF   Visualizza/Apri   Richiedi una copia
Passacantando-2021-Nonlinear analysis differ eq-VoR.pdf

Solo gestori archivio

Descrizione: Contributo in libro
Tipologia di allegato: Publisher’s Version (Version of Record, VoR)
Dimensione 666.24 kB
Formato Adobe PDF
666.24 kB Adobe PDF   Visualizza/Apri   Richiedi una copia

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/391584
Citazioni
  • Scopus 2
  • ???jsp.display-item.citation.isi??? ND
Social impact