Query complexity of approximate equilibria in anonymous games

作者:

Highlights:

• We study equilibrium computation of multi-player anonymous games.

• We extend and develop the general theory of query-efficiency of multi-player games.

• We obtain improved computational efficiency, as well as query efficiency.

• Our main result leads to a new polynomial-time approximation scheme.

• We exhibit an anonymous game whose exact equilibria require irrational numbers.

摘要

•We study equilibrium computation of multi-player anonymous games.•We extend and develop the general theory of query-efficiency of multi-player games.•We obtain improved computational efficiency, as well as query efficiency.•Our main result leads to a new polynomial-time approximation scheme.•We exhibit an anonymous game whose exact equilibria require irrational numbers.

论文关键词:Algorithms,Computational complexity,Game theory

论文评审过程:Received 6 May 2016, Revised 18 May 2017, Accepted 4 July 2017, Available online 29 July 2017, Version of Record 14 September 2017.

论文官网地址:https://doi.org/10.1016/j.jcss.2017.07.002