We are concerned with a class of Nash games in which the players’ strategy sets are coupled by a shared constraint. A widely employed solution concept for such games, referred to as generalized Nash games, is the generalized Nash equilibrium (GNE). The variational equilibrium (VE) [6] is a specific kind of GNE given by a solution of the variational inequality formed from the common constraint a...

We introduce several methods of decomposition for two player normal form games. Viewing the set of all games as a vector space, we exhibit explicit orthonormal bases for the subspaces of potential games, zero-sum games, and their orthogonal complements which we call anti-potential games and anti-zero-sum games, respectively. Perhaps surprisingly, every anti-potential game comes either from the ...

background: the rapid growth of computer games, has taken a major part of teenagers leisure time. the improper and overuse of these games, can be considered as physical, mental and social threats. the goal of this study was to determine the relationship between playing computer games and students’ aggression and academic progress.   methods: in this cross- sectional study, 292 students in grade...

We study the network replicator equation and characterize its fixed points on arbitrary graph structures for 2 × symmetric games. show a relationship between asymptotic behavior of existence an independent vertex set in also that complex cannot emerge This links property dynamical system with combinatorial property. contrast this by showing ordinary rock–paper–scissors (RPS) exhibits chaos 3-cy...

We consider a generalization of perturbed best response dynamics in population games with continuum strategies. The previous literature has considered the logit dynamic generated through Shannon entropy as deterministic perturbation. wider class perturbations satisfying lower semicontinuity and strong convexity. Apart from entropy, Tsallis Burg are other that satisfy these conditions. thereby g...