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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 …
Persistent link: https://www.econbiz.de/10013076437
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 …
Persistent link: https://www.econbiz.de/10013124577
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 …
Persistent link: https://www.econbiz.de/10003912049
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 …
Persistent link: https://www.econbiz.de/10014160968
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 …
Persistent link: https://www.econbiz.de/10011327822
This paper studies models where the optimal response functions under consideration are non-increasing in endogenous variables, and weakly increasing in exogenous parameters. Such models include games with strategic substitutes, and include cases where additionally, some variables may be...
Persistent link: https://www.econbiz.de/10012824357
In this note we reconsider Nash equilibria for the linear quadratic differential game for an infinite planning horizon. We consider an open-loop information structure. In the standard literature this problem is solved under the assumption that every player can stabilize the system on his own. In...
Persistent link: https://www.econbiz.de/10013104566
In this note we consider the non-cooperative linear feedback Nash quadratic differential game with an infinite planning horizon for descriptor systems of index one. The performance function is assumed to be indefinite. We derive both necessary and sufficient conditions under which this game has...
Persistent link: https://www.econbiz.de/10014192996
In this note we consider the non-cooperative linear feedback Nash quadratic differential game with an infinite planning horizon. The performance function is assumed to be indefinite and the underlying system affine. We derive both necessary and sufficient conditions under which this game has a...
Persistent link: https://www.econbiz.de/10014192997
-Nash equilibria for this two-stage game with partial coalitional strategies are determined by means of a mathematical-based algorithm …
Persistent link: https://www.econbiz.de/10013155252