2 papers
cs.GT2010
Proof-theoretic Analysis of Rationality for Strategic Games with Arbitrary Strategy Sets
Jonathan A. Zvesper, Krzysztof R. Apt
In the context of strategic games, we provide an axiomatic proof of the statement Common knowledge of rationality implies that the players will choose only strategies that survive…
math.LO2010
From Lawvere to Brandenburger-Keisler: interactive forms of diagonalization and self-reference
Samson Abramsky, Jonathan Zvesper
We analyze the Brandenburger-Keisler paradox in epistemic game theory, which is a `two-person version of Russell's paradox'. Our aim is to understand how it relates to standard one…