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The dynamic game with state payoff vector on connected graph. (English) Zbl 1184.91052
Petrosjan, Leon A. (ed.) et al., Contributions to game theory and management. Vol. II. The second international conference game theory and management (GTM 2008), June 26–27, 2008, St. Petersburg, Russia. Collected papers. St. Petersburg: Graduate School of Management, St. Petersburg University (ISBN 978-5-9924-0020-5/pbk). 81-88 (2009).
Summary: By introducing the point (state) payoff vector to every point node on a connected graph, in this paper, a dynamic game is researched on a finite graph. The concept of strategy for games on a graph defined by C. Berge is introduced to prove the existence theorem of absolute equilibrium for games on a connected graph with point payoff vector. The complete algorithm and an example for a three-dimensional connected mesh-like graph are given in this paper.
For the entire collection see [Zbl 1178.91010].
91A25 Dynamic games
91A43 Games involving graphs