On this page I will posts updates and book chapters of a book project to provide a comprehensive, technical overview of potential game theory with its main applications. When book chapters become available, I will post these here as independent working papers
Chapter 1
Games: The normal and potential forms
Definition of non-cooperative games
Normal form games
Nash equilibrium
Existence of Nash equilibrium
Potential functions
Potential form games
Equilibrium in potential form games
Characterisation of equilibria
Definition of Nash potential games
Equivalence theorem for Nash potentials
Chapter 2
Games with Exact Potentials
Definition of exact potential games
Decomposition of exact potential games
Characterisation for differentiable potential games
Ui’s characterisation for finite games
General characterisations
Computing exact potentials
The decomposition of arbitrary games into potential and harmonic games
The potentialness of arbitrary games