The Not-So-Absent-Minded Driver
This paper starts with a re-examination of Piccione and Rubinstein`s Absent-Minded Driver problem, and suggests a novel interpretation of Aumann, Hart and Perry`s notion of action-optimality. We then consider several variants of the original problem in which the assumption that the player`s information sets partition the set of his decision nodes is relaxed. This relaxation enables us to construct a counter-example to Piccione and Rubinstein`s result that planning-optimal strategies are always action-optimal. We also show that an agent with more information may do worse than an agent with less.
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- Robert Aumann & Adam Brandenburger, 2014.
"Epistemic Conditions for Nash Equilibrium,"
World Scientific Book Chapters,in: The Language of Game Theory Putting Epistemics into the Mathematics of Games, chapter 5, pages 113-136
World Scientific Publishing Co. Pte. Ltd..
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