Geodesic
Optimal functors in dual categories of games
Matematičeskaâ teoriâ igr i eë priloženiâ, Tome 3 (2011) no. 3, pp. 17-38.

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Dual categories of so called non-cooperative non-strategiс games/cogames are constructed. In contrast to classical non-cooperative games, in these categories the active players differ from the interested ones, so that games and cogames associate them in two different ways. The Nash-equilibrium concept is modified for each of these categories, and it is proved that for both of them this generalized equilibrium has a fundamental categorial property – functorness. Based on that fact, a general axiomatic definition of optimal functor is given. Several optimal equilibrium-like functors are constructed, including the strongest and the weakest ones.
Keywords: non-cooperative games, categories of games, cogames, equilibrium points, optimal functors, solution concepts. 
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Victor E. Lapitsky. Optimal functors in dual categories of games. Matematičeskaâ teoriâ igr i eë priloženiâ, Tome 3 (2011) no. 3, pp. 17-38. http://geodesic.mathdoc.fr/item/MGTA_2011_3_3_a1/

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