42 citations · 80 across the 14 of their papers we have counts for
5 papers · 1 filter
Semi-algebraic sets and equilibria of binary games
Guillaume Vigeral, Yannick Viossat
Any nonempty, compact, semi-algebraic set in [0, 1] n is the projection of the set of mixed equilibria of a finite game with 2 actions per player on its first n coordinates. A simi…
Deterministic monotone dynamics and dominated strategies
Yannick Viossat
We survey and unify results on elimination of dominated strategies by monotonic dynamics and prove some new results that may be seen as dual to those of Hofbauer and Weibull (J. Ec…
Is Having a Unique Equilibrium Robust?
Yannick Viossat
We investigate whether having a unique equilibrium (or a given number of equilibria) is robust to perturbation of the payoffs, both for Nash equilibrium and correlated equilibrium.…
Equilibrium payoffs in finite games
Ehud Lehrer, Eilon Solan, Yannick Viossat
We study the structure of the set of equilibrium payoffs in finite games, both for Nash equilibrium and correlated equilibrium. A nonempty subset of R^2 is shown to be the set of N…
Properties and applications of dual reduction
Yannick Viossat
The dual reduction process, introduced by Myerson, allows to reduce a finite game into a smaller dimensional game such that any equilibrium of the reduced game is an equilibrium of…