We study the number of steps required to reach a pure Nash Equilibrium in a load balancing scenario where each job behaves selfishly and attempts to migrate to a machine which will...
Eyal Even-Dar, Alexander Kesselman, Yishay Mansour
We consider markets in the classical Arrow-Debreu model. There are n agents and m goods. Each buyer has a concave utility function (of the bundle of goods he/she buys) and an init...
Recent results showing PPAD-completeness of the problem of computing an equilibrium for Fisher’s market model under additively separable, piecewise-linear, concave utilities (pl...
Abstract. We introduce two min-max problems: the first problem is to minimize the supremum of finitely many rational functions over a compact basic semi-algebraic set whereas the s...
Abstract. We consider the problem of computing additively approximate Nash equilibria in non-cooperative two-player games. We provide a new polynomial time algorithm that achieves ...