Query Complexity of Approximate Nash Equilibria

Author:

Babichenko Yakov1

Affiliation:

1. Technion, Israel Institute of Technology, Haifa, Israel

Abstract

We study the query complexity of approximate notions of Nash equilibrium in games with a large number of players n . Our main result states that for n -player binary-action games and for constant ε, the query complexity of an ε-well-supported Nash equilibrium is exponential in n . As a consequence of this result, we get an exponential lower bound on the rate of convergence of adaptive dynamics to approximate Nash equilibria.

Publisher

Association for Computing Machinery (ACM)

Subject

Artificial Intelligence,Hardware and Architecture,Information Systems,Control and Systems Engineering,Software

Reference36 articles.

1. Yakov Babichenko and Siddharth Barman. 2013. Query complexity of correlated equilibrium. arXiv preprint arXiv:1306.2437 (2013). Yakov Babichenko and Siddharth Barman. 2013. Query complexity of correlated equilibrium. arXiv preprint arXiv:1306.2437 (2013).

2. Simple approximate equilibria in large games

3. The Statistical Mechanics of Strategic Interaction

4. Matching algorithmic bounds for finding a Brouwer fixed point

5. Settling the complexity of computing two-player Nash equilibria

Cited by 17 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Lower bounds for the query complexity of equilibria in Lipschitz games;Theoretical Computer Science;2023-06

2. On Communication Complexity of Fixed Point Computation;ACM Transactions on Economics and Computation;2021-12-31

3. Near-Optimal Communication Lower Bounds for Approximate Nash Equilibria;SIAM Journal on Computing;2021-11-30

4. Settling the complexity of Nash equilibrium in congestion games;Proceedings of the 53rd Annual ACM SIGACT Symposium on Theory of Computing;2021-06-15

5. Learning Convex Partitions and Computing Game-theoretic Equilibria from Best-response Queries;ACM Transactions on Economics and Computation;2021-03-31

同舟云学术

1.学者识别学者识别

2.学术分析学术分析

3.人才评估人才评估

"同舟云学术"是以全球学者为主线,采集、加工和组织学术论文而形成的新型学术文献查询和分析系统,可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容,当前同舟云学术共收录了国内外主流学术期刊6万余种,收集的期刊论文及会议论文总量共计约1.5亿篇,并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询!咨询电话:010-8811{复制后删除}0370

www.globalauthorid.com

TOP

Copyright © 2019-2024 北京同舟云网络信息技术有限公司
京公网安备11010802033243号  京ICP备18003416号-3