Vidal's library
Title: 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