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 …

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 …

Zaccour (2008) analyses a marketing channel where firms invest in advertising to increase
brand equity, showing that an exogenous two-part tariff cannot replicate the vertically …

We show that the Cournot oligopoly game with non-linear market demand can be
reformulated as a best-response potential game where the best-response potential function …

Discrete-time game-theoretic models of resource exploitation are treated as dynamic
potential games. The players (countries or firms) exploit a common stock on the infinite time …

Optimum scheduling is a key objective in many communications systems where different
users have to share a common resource. Typically, centralized implementations are capable …

A noncooperative stochastic differential game (SDG) is said to be a potential game if there
exists an associated stochastic control problem whose optimal solutions are Nash equilibria …

In this note we sketch a dynamic framework within which the discussion on the
macroeconomic effects of climate change take place. The problem setting is characterized …

In this paper we embed the theory of cooperative differential games within the theory of
dynamic games and discuss a number of results and developments that have been …

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 …