In this note we generalize a numerical algorithm presented in [9] to calculate all solutions of the scalar algebraic …-quadratic differential game. The algorithm is based on calculating the positive roots of a polynomial matrix …

This paper presents a complete survey of the use of homotopy methods in game theory. Homotopies allow for a robust … expositions of the Lemke-Howson algorithm and the Van den Elzen-Talman algorithm to compute Nash equilibria in 2-person games, and …

replies to all probabilistic beliefs over the set. We present an algorithm that computes all minimal sCURB sets in any given … finite game. Runtime measurements on two-player games (where the concepts of CURB and sCURB coincide) show that the algorithm … is considerably faster than the earlier developed algorithm, that of Benisch et al. (2006). -- curb sets ; rational …

Both in game theory and in general equilibrium theory there exists a number of universally stable adjustment processes …. In game theory these processes typically serve the role of selecting a Nash equilibrium. Examples are the tracing …

converges to X in a continuous way.We also discuss several applications in noncooperative game theory. We first show that two … symmetric proper equilibrium. Applying our results to the field of evolutionary game theory yields a refinement of the …

-Nash equilibria for this two-stage game with partial coalitional strategies are determined by means of a mathematical-based algorithm …