We study the Spohn conditional independence (CI) variety CX of an n-player game X for undirected graphical models on n binary random variables consisting one edge. For a generic game, we show that is smooth irreducible complete intersection curve (Nash curve) in Segre (P1)n−2×P3 and give explicit formula its degree genus. prove two universality theorems CX: The product any affine real algebraic...

Pareto-optimal Nash equilibrium is a refinement of the Nash equilibrium. An evolutionary method is described in order to detect this equilibrium. Generative relations induces a non-domination concept which is essentially in the detection method. Numerical experiments with games having multiple Nash equilibria are presented. The evolutionary method detects correctly the Pareto-optimal Nash equil...