Potential games are noncooperative games for which there exist auxiliary functions, called
potentials, such that the maximizers of the potential are also Nash equilibria of the …

In this work, we develop a scalable, local tra-jectory optimization algorithm that enables
robots to interact with other robots. It has been shown that agents' interactions can be …

In a noncooperative dynamic game, multiple agents operating in a changing environment
aim to optimize their utilities over an infinite time horizon. Time-varying environments allow …

This paper introduces the notion of a potential differential game (PDG), which roughly put is
a noncooperative differential game to which we can associate an optimal control problem …

Logical dynamic games (LDGs) are a class of dynamic games that incorporate logical
dynamics to describe the evolution of external states. Such games can be found in a wide …

A static potential game is a noncooperative game for which there exists a fictitious function,
also referred to as a potential function, whose optimizers provide a Nash equilibrium of the …

Open-loop and feedback potential differential games for multi-agent systems are considered
in this pa-per. Constructive sufficient conditions under which a linear quadratic differential …

This chapter deals with theories related to the class of games known as potential games.
What make potential games attractive are their useful properties concerning the existence …

Potential games have some useful characteristics related to the existence and computability
of their Nash equilibria, which make their use attractive also in the context of modelling …

In this paper, we consider the problem of pollution control in a system that undergoes
regular regime shifts. We first show that the optimal policy of pollution abatement is periodic …