Geodesic
The algorithm searching Nash equilibria in dynamic network game
Matematičeskaâ teoriâ igr i eë priloženiâ, Tome 5 (2013) no. 1, pp. 45-60

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We carry out the assimilation of network formation game, which allows simultaneous actions. This is a dynamic network game with arcs of two kinds: interactional arches and dynamic arches. We have set an algorithm for retrieval of Nash equilibrium in a dynamic network game, which is a modification of the recurrent algorithm for multistage game, and uses the interactional arches' properties. We have estimated the complexity of the algorithm. An example is constructed, which shows the advantages of the modified algorithm in comparison to the standard recurrent algorithm for multistage game.
Keywords: network games, dynamic games, positional games, Nash equilibrium, optimization algorithms, algorithm complexity. 
@article{MGTA_2013_5_1_a2,
     author = {Andrey P. Parfyonov},
     title = {The algorithm searching {Nash} equilibria in dynamic network game},
     journal = {Matemati\v{c}eska\^a teori\^a igr i e\"e prilo\v{z}eni\^a},
     pages = {45--60},
     publisher = {mathdoc},
     volume = {5},
     number = {1},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MGTA_2013_5_1_a2/}
}
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Andrey P. Parfyonov. The algorithm searching Nash equilibria in dynamic network game. Matematičeskaâ teoriâ igr i eë priloženiâ, Tome 5 (2013) no. 1, pp. 45-60. http://geodesic.mathdoc.fr/item/MGTA_2013_5_1_a2/