Vidal's libraryTitle: | The power of paradox: some recent developments in interactive epistemology |
Author: | Adam Brandenburger |
Journal: | International Journal on Game Theory |
Volume: | 35 |
Pages: | 465--492 |
Year: | 2007 |
DOI: | 10.1007/s00182-006-0061-2 |
Abstract: | Paradoxes of game-theoretic reasoning have played an important role in spurring developments in interactive epistemology, the area in game theory that studies the role of the players’ beliefs, knowledge, etc. This paper describes two such paradoxes – one concerning backward induction, the other iterated weak dominance. We start with the basic epistemic condition of “rationality and common belief of rationality” in a game, describe various `refinements' of this condition that have been proposed, and explain how these refinements resolve the two paradoxes. We will see that a unified epistemic picture of game theory emerges.We end with some new foundational questions uncovered by the epistemic program. |
@Article{brandenburger07a,
author = {Adam Brandenburger},
title = {The power of paradox: some recent developments in
interactive epistemology},
journal = {International Journal on Game Theory},
year = 2007,
volume = 35,
pages = {465--492},
abstract = {Paradoxes of game-theoretic reasoning have played an
important role in spurring developments in
interactive epistemology, the area in game theory
that studies the role of the players’ beliefs,
knowledge, etc. This paper describes two such
paradoxes – one concerning backward induction, the
other iterated weak dominance. We start with the
basic epistemic condition of ``rationality and
common belief of rationality'' in a game, describe
various `refinements' of this condition that have
been proposed, and explain how these refinements
resolve the two paradoxes. We will see that a
unified epistemic picture of game theory emerges.We
end with some new foundational questions uncovered
by the epistemic program.},
url = {http://jmvidal.cse.sc.edu/library/brandenburger07a.pdf},
doi = {10.1007/s00182-006-0061-2},
keywords = {game-theory bounded-rationality}
}
Last modified: Wed Mar 9 10:16:48 EST 2011