Struktura obiektu

Autor:

Góngora, Pedro A. ; Rosenblueth, David A.

Współtwórca:

Byrski, Aleksander - ed. ; Kisiel-Dorohinicki, Marek - ed. ; Dobrowolski, Grzegorz - ed.

Tytuł:

A symbolic shortest path algorithm for computing subgame-perfect Nash equilibria

Podtytuł:

.

Tytuł publikacji grupowej:

AMCS, Volume 25 (2015)

Temat i słowa kluczowe:

shortest path ; Bellman-Ford ; Nash equilibrium ; BDD ; model checking

Abstract:

Consider games where players wish to minimize the cost to reach some state. A subgame-perfect Nash equilibrium can be regarded as a collection of optimal paths on such games. Similarly, the well-known state-labeling algorithm used in model checking can be viewed as computing optimal paths on a Kripke structure, where each path has a minimum number of transitions. ; We exploit these similarities in a common generalization of extensive games and Kripke structures that we name "graph games". By extending the Bellman-Ford algorithm for computing shortest paths, we obtain a model-checking algorithm for graph games with respect to formulas in an appropriate logic. Hence, when given a certain formula, our model-checking algorithm computes the subgame-perfect Nash equilibrium (as opposed to simply determining whether or not a given collection of paths is a Nash equilibrium). ; Next, we develop a symbolic version of our model checker allowing us to handle larger graph games. We illustrate our formalism on the critical-path method as well as games with perfect information. Finally, we report on the execution time of benchmarks of an implementation of our algorithms.

Wydawca:

Zielona Góra: Uniwersytet Zielonogórski

Typ zasobu:

artykuł

DOI:

10.1515/amcs-2015-0043

Strony:

577-596

Źródło:

AMCS, volume 25, number 3 (2015) ; kliknij tutaj, żeby przejść

Jezyk:

eng

Prawa do dysponowania publikacją:

Biblioteka Uniwersytetu Zielonogórskiego