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Communication complexity of approximate Nash equilibria

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For a constant c, we prove a poly(N) lower bound on the (randomized) communication complexity of c-Nash equilibrium in two-player N x N games. For n-player binary-action games we prove an exp(n) lower bound for the (randomized) communication complexity of (c, 0-weak approximate Nash equilibrium, which is a profile of mixed actions such that at least (1 - 0-fraction of the players are c-best replying. (c) 2020 Elsevier Inc. All rights reserved.

Communication complexityApproximate Nash equilibriaConvergence rate of uncoupled dynamicsUNCOUPLED DYNAMICS

Babichenko, Yakov、Rubinstein, Aviad

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Technion Israel Inst Technol

Stanford Univ

2022

Games and economic behavior

Games and economic behavior

SSCI
ISSN:0899-8256
年,卷(期):2022.134
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