Niveau: Supérieur, Doctorat, Bac+8
Efficient computation of approximate pure Nash equilibria in congestion games‡ Ioannis Caragiannis?, Angelo Fanelli†, Nick Gravin† and Alexander Skopalik† ?Research Academic Computer Technology Institute & Department of Computer Engineering and Informatics, University of Patras, 26500 Rio, Greece. Email: †Division of Mathematical Sciences, School of Physical and Mathematical Sciences, Nanyang Technological University, Singapore. Email: , , Abstract— Congestion games constitute an important class of games in which computing an exact or even approximate pure Nash equilibrium is in general PLS-complete. We present a surprisingly simple polynomial-time algorithm that computes O(1)-approximate Nash equilibria in these games. In particular, for congestion games with linear latency functions, our algorithm com- putes (2+ ?)-approximate pure Nash equilibria in time polynomial in the number of players, the number of resources and 1/?. It also applies to games with polynomial latency functions with constant maximum degree d; there, the approximation guarantee is dO(d). The algorithm essentially identifies a polynomially long sequence of best-response moves that lead to an approximate equilibrium; the existence of such short sequences is interesting in itself. These are the first positive algorithmic results for approximate equilibria in non-symmetric congestion games.
- can significantly
- time algorithm
- polynomial latency
- any pure
- potential function
- congestion games
- latency functions
- players' strategies