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 …

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 …

With renewable energy sources (RESs) integrated into modern power systems, energy
consumers participate in the energy market making the entire network more complex and …

We study the convergence of best-response dynamics in Tullock contests with convex cost
functions (these games always have a unique pure-strategy Nash equilibrium). We show …

With the development of big data and artificial intelligence, the value of data has become
increasingly prominent. In traditional data trading platforms, pricing is completely controlled …

We study the convergence of best-response dynamics in lottery contests. We show that best-
response dynamics rapidly converges to the (unique) equilibrium for homogeneous agents …

It is shown that the n-player lottery contest admits a best-response potential (Voorneveld,
2000). This is true also when the contest technology reflects the possibility of a draw. 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 …

We introduce the concept of Hamiltonian potential functions for noncooperative open-loop
differential games and we characterise sufficient conditions for their existence. We identify a …

This paper presents a novel game theory approach for representing the Stackelberg
dynamic duopoly models. The problem is fitted into a class of ergodic controllable finite …