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ml-recall

#coarse-correlated-equilibrium

2 questions from Multi-Agent Systems

Timed test

2 questions · 2 min · score and explanations at the end

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Question 1: Short answer

hardAI-checkedMulti-Agent Systems

In a two-player game, player 1 has these payoffs (player 2 always gets 0):

left right
top 6 0
middle 0 6
bottom 2 8

A joint distribution μ\mu puts probability 12\tfrac12 on (top, left) and 12\tfrac12 on (middle, right), so player 1 earns 6 on average. If player 1 instead commits in advance to one fixed action while player 2 keeps following μ\mu, what is the best expected payoff player 1 can get?

a number