Geodesic
Equilibria in Nonantagonistic Positional Games on Graphs and Searching for Them
Matematičeskaâ teoriâ igr i eë priloženiâ, Tome 5 (2013) no. 4, pp. 3-13

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We distinguish some cases of existence of a stationary equilibrium in nonantagonistic games on directed graphs with terminal payoffs along trajectories. The proof of the existence of stationary equilibria implies polynomial search algorithms for them.
Keywords: positional games, stationary equilibria
Mots-clés : polynomial algorithm. 
@article{MGTA_2013_5_4_a0,
     author = {Irina A. Bashlaeva},
     title = {Equilibria in {Nonantagonistic} {Positional} {Games} on {Graphs} and {Searching} for {Them}},
     journal = {Matemati\v{c}eska\^a teori\^a igr i e\"e prilo\v{z}eni\^a},
     pages = {3--13},
     publisher = {mathdoc},
     volume = {5},
     number = {4},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MGTA_2013_5_4_a0/}
}
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Irina A. Bashlaeva. Equilibria in Nonantagonistic Positional Games on Graphs and Searching for Them. Matematičeskaâ teoriâ igr i eë priloženiâ, Tome 5 (2013) no. 4, pp. 3-13. http://geodesic.mathdoc.fr/item/MGTA_2013_5_4_a0/