DPPN

One-player decision process: towards a game theory implementation using DPPN In this paper we introduce the Lyapunov equilibrium point as an alternative definition to the Nash equilibrium point for one-player games using decision process Petri nets. We prove that the concept of Lyapunov equilibrium coincides in this case with the concept of Nash equilibrium. The advantage of this approach is that fixed-point conditions for games are given by the definition of the Lypunov-like function. To the best of our knowledge the approach is to be a new application area in Petri Net theory (PN).