Nash equilibrium seeking in potential games with double-integrator agents

11/19/2018
by   Filippo Fabiani, et al.
0

In this paper, we show the equivalence between a constrained, multi-agent control problem, modeled within the port-Hamiltonian framework, and an exact potential game. Specifically, critical distance-based constraints determine a network of double-integrator agents, which can be represented as a graph. Virtual couplings, i.e., pairs of spring-damper, assigned to each edge of the graph, allow to synthesize a distributed, gradient-based control law that steers the network to an invariant set of stable configurations. We characterize the points belonging to such set as Nash equilibria of the associated potential game, relating the parameters of the virtual couplings with the equilibrium seeking problem, since they are crucial to shape the transient behaviour (i.e., the convergence) and, ideally, the set of reachable equilibria.

READ FULL TEXT

page 1

page 2

page 3

page 4

research
11/07/2020

Stability of Gradient Learning Dynamics in Continuous Games: Scalar Action Spaces

Learning processes in games explain how players grapple with one another...
research
10/25/2019

A continuous-time distributed generalized Nash equilibrium seeking algorithm over networks for double-integrator agents

We consider a system of single- or double integrator agents playing a ge...
research
03/28/2018

A Douglas-Rachford splitting for semi-decentralized generalized Nash equilibrium seeking in Monotone Aggregative Games

We address the generalized Nash equilibrium seeking problem for noncoope...
research
01/11/2023

Bayesian Nash Equilibrium Seeking for Distributed Incomplete-information Aggregative Games

In this paper, we consider a distributed Bayesian Nash equilibrium (BNE)...
research
08/08/2020

Potential Games for Distributed Constrained Consensus

The problem of computing a common point that lies in the intersection of...
research
06/30/2021

Distributed Nash Equilibrium Seeking under Quantization Communication

This paper investigates Nash equilibrium (NE) seeking problems for nonco...
research
07/13/2022

Relationship Design for Socially Desirable Behavior in Static Games

Interactions among multiple self-interested agents may not necessarily y...

Please sign up or login with your details

Forgot password? Click here to reset