Geodesic
The Dynamic Game with State Payoff Vector on Connected Graph
Contributions to game theory and management, Tome 2 (2009), pp. 81-88.

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By introducing point (state) payoff vector to every point node on connected graph in this paper, dynamic game is researched on finite graph. The concept of strategy about games on graph defined by C. Berge is introduced to prove the existence theorem of absolute equilibrium about games on connected graph with point payoff vector. The complete algorithm and an example in three-dimensional connected mesh-like graph are given in this paper.
Keywords: connected graph, point payoff vector, simply strategy, absolute equilibrium, three-dimensional mesh-like graph. 
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Hong-wei Gao; Ye-ming Dai; Han Qiao. The Dynamic Game with State Payoff Vector on Connected Graph. Contributions to game theory and management, Tome 2 (2009), pp. 81-88. http://geodesic.mathdoc.fr/item/CGTM_2009_2_a7/

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