We consider generalized Nash equilibrium (GNE) problems under a partial-decision information regime, in which each agent typically reconstructs the opponents' strategies through a linear averaging dynamics. In contrast, we consider a state-dependent, nonlinear susceptibility term within the communication mechanism, thereby modelling possible biases on the part of agents in processing information. By including such a term in a relaxed forward-backward iteration scheme, we design a distributed algorithm possessing convergence guarantees to a GNE. Simulation results illustrate how the susceptibility term affects the GNE computation.
Generalized Nash equilibrium problems under partial-decision information with biased agents / Franci, Barbara; Fabiani, Filippo; Zino, Lorenzo. - ELETTRONICO. - (2024), pp. 4694-4699. (Intervento presentato al convegno IEEE 63rd Conference on Decision and Control tenutosi a Milano (Ita) nel 16-19 Dicembre 2024) [10.1109/cdc56724.2024.10886508].
Generalized Nash equilibrium problems under partial-decision information with biased agents
Franci, Barbara;Zino, Lorenzo
2024
Abstract
We consider generalized Nash equilibrium (GNE) problems under a partial-decision information regime, in which each agent typically reconstructs the opponents' strategies through a linear averaging dynamics. In contrast, we consider a state-dependent, nonlinear susceptibility term within the communication mechanism, thereby modelling possible biases on the part of agents in processing information. By including such a term in a relaxed forward-backward iteration scheme, we design a distributed algorithm possessing convergence guarantees to a GNE. Simulation results illustrate how the susceptibility term affects the GNE computation.File | Dimensione | Formato | |
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CDC_2024 (nash).pdf
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https://hdl.handle.net/11583/2997944