Tata Institute of Fundamental Research

Complexity of Constant Player Potential Game

STCS Student Seminar
Speaker: Vidya Sagar Sharma
Organiser: Prerona Chatterjee
Date: Friday, 30 Nov 2018, 17:15 to 18:15
Venue: A-201 (STCS Seminar Room)

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Abstract:  Abstract: It is well known that multi-player potential game is PLS-complete.We show that constant player potential game is also PLS-complete.We also show that,there exist a constant-player potential game with some initial strategy such that it can take exponential time to reach Nash-equilibrium.We also give a polynomial time algorithm to get Nash-equilibrium in the network congestion game in the case of directed acyclic graph.