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Some articles, books and book chapters on Common Knowledge in the field of game theory
@Article{Arrow1986,
Title = {Rationality of Self and Others in an Economic System},
Author = {Arrow, Kenneth J.},
Journal = {The Journal of Business},
Year = {1986},
Number = {4},
Pages = {385--399},
Volume = {59}
}
@Article{AumannBrandenburger1995,
Title = {Epistemic Conditions for Nash Equilibrium},
Author = {Aumann, Robert and Brandenburger, Adam},
Journal = {Econometrica},
Year = {1995},
Number = {5},
Pages = {1161--1180},
Volume = {63}
}
@Article{Aumann1976,
Title = {Agreeing to Disagree},
Author = {Aumann, Robert J.},
Journal = {The Annals of Statistics},
Year = {1976},
Number = {6},
Pages = {1236--1239},
Volume = {4},
Doi = {doi:10.1214/aos/1176343654}
}
@InCollection{Bacharach1992,
Title = {The Acquisition of Common Knowledge},
Author = {Bacharach, Michael},
Booktitle = {Knowledge, Belief and Strategic Interaction},
Publisher = {Cambrige University Press},
Year = {1992},
Address = {Cambridge},
Chapter = {17},
Editor = {Bicchieri, Cristina and Dalla Chiara, Maria Luisa},
Pages = {285--316}
}
@Article{Basu1988,
Title = {Strategic Irrationality in Extensive Games},
Author = {Basu, Kaushik},
Journal = {Mathematical Social Sciences},
Year = {1988},
Pages = {247-260},
Volume = {15}
}
@Article{Bernheim1984,
Title = {Rationalizable Strategic Behaviour},
Author = {Bernheim, B. Douglas},
Journal = {Econometrica},
Year = {1984},
Number = {4},
Pages = {1007--1028},
Volume = {52}
}
@Article{Bicchieri1989,
Title = {Self-refuting Theories of Strategic Interaction: A Paradox of Common Knowledge},
Author = {Bicchieri, Cristina},
Journal = {Erkenntnis},
Year = {1989},
Pages = {69--85},
Volume = {30}
}
@Article{Binmore2008,
Title = {Do Conventions Need to Be Common Knowledge?},
Author = {Binmore, Ken},
Journal = {Topoi},
Year = {2008},
Number = {1},
Pages = {17--27},
Volume = {27}
}
@Article{Brandenburger1992,
Title = {Knowledge and Equilibrium in Games},
Author = {Adam Brandenburger},
Journal = {The Journal of Economic Perspectives},
Year = {1992},
Number = {4},
Pages = {83-101},
Volume = {6},
Publisher = {American Economic Association}
}
@InCollection{BrandenburgerDekel1989,
Title = {The Role of Common Knowledge Assumptions in Game Theory},
Author = {Brandenburger, Adam and Dekel, E.},
Booktitle = {The Economics of Missing Markets, Information and Games},
Publisher = {Oxford University Press},
Year = {1989},
Address = {New York},
Chapter = {3},
Editor = {Hahn, Frank},
Pages = {46 - 61}
}
@Article{Brandenburger1987,
Title = {Common Knowledge with Probability 1},
Author = {Brandenburger, Adam and Dekel, Eddie},
Journal = {Journal of Mathematical Economics},
Year = {1987},
Pages = {237--245},
Volume = {16}
}
@InBook{Werlang1989,
Title = {Game Theory},
Author = {Costa Werlang, S{\'e}rgio Ribeiro},
Chapter = {Common Knowledge},
Editor = {Eatwell, John and Milgate, Murray and Newman, Peter},
Pages = {74--85},
Publisher = {Palgrave Macmillan UK},
Year = {1989},
Address = {London}
}
@Article{Cubitt2003,
Title = {Common Knowledge, Salience and Convention: A Reconstruction of David Lewis' Game Theory},
Author = {Cubitt, Robin P. and Sudgen, Robert},
Journal = {Economics and Philosophy},
Year = {2003},
Number = {19},
Pages = {175--210}
}
@InCollection{Geanakoplos1994,
Title = {Common knowledge},
Author = {Geanakoplos, John},
Booktitle = {Handbook of Game Theory with Economic Applications},
Publisher = {Elsevier},
Year = {1994},
Chapter = {40},
Edition = {1},
Editor = {Aumann, R.J. and Hart, S.},
Pages = {1437-1496},
Volume = {2}
}
@Article{Geanakoplos1989,
Title = {Psychological Games and Sequential Rationality},
Author = {Geanakoplos, John and Pearce, David and Stacchetti, Ennio},
Journal = {Games and Economic Behaviour},
Year = {1989},
Number = {1},
Pages = {60--79}
}
@Article{Harsanyi1973,
Title = {Games with Randomly Disturbed Payoffs: A New Rationale for Mixed-Strategy Equilibrium Points},
Author = {Harsanyi, John C.},
Journal = {International Journal of Game Theory},
Year = {1973},
Number = {1},
Pages = {1--23},
Volume = {2}
}
@Article{Harsanyi1967,
Title = {Games with Incomplete Information Played by "Bayesian" Players, I-III. Part I. The Basic Model},
Author = {Harsanyi, John C.},
Journal = {Management Science},
Year = {1967},
Number = {3},
Pages = {159--182},
Volume = {14}
}
@Book{Hintikka1962,
Title = {Knowledge and Belief. An Introduction to the Logic of the Two Notions},
Author = {Hintikka, Jaakko},
Publisher = {Cornell University Press},
Year = {1962},
Note = {Reprint: King's College Publications, 2005}
}
@Article{Kreps1982,
Title = {Sequential Equilibria},
Author = {Kreps, David M. and Wilson, Robert},
Journal = {Econometrica},
Year = {1982},
Number = {4},
Pages = {863--894},
Volume = {50}
}
@Book{Leibniz1710,
Title = {Essais de theodicée sur la bonté de Dieu, la liberté de l’homme, et l'origine du mal},
Author = {Leibniz, Gottfried Wilhelm},
Publisher = {David Mortier},
Year = {1710},
Address = {Amsterdam}
}
@Book{Lewis1969,
Title = {Convention. A Philosophical Study},
Author = {Lewis, David K.},
Publisher = {Harvard University Press},
Year = {1969},
Address = {Cambridge, Massachusetts}
}
@Book{Luce1957,
Title = {Games and Decisions - Introduction and Critical Survey},
Author = {Luce, R. Duncan and Raiffa, Howard},
Publisher = {John Wiley \& Sons, Inc.},
Year = {1957},
Edition = {Seventh Printing}
}
@Article{Milgrom1991,
Title = {Adaptive and Sophisticated Learning in Normal Form Games},
Author = {Milgrom, Paul and Roberts, John},
Journal = {Games and Economic Behavior},
Year = {1991},
Pages = {82--100},
Volume = {3}
}
@Article{Monderer1989,
Title = {Approximating Common Knowledge with Common Beliefs},
Author = {Monderer, Dov and Samet, Dov},
Journal = {Games and Economic Behavior},
Year = {1989},
Pages = {170--190},
Volume = {1}
}
@Article{Nash1951,
Title = {Non-Cooperative Games},
Author = {Nash, John},
Journal = {The Annals of Mathematics},
Year = {1951},
Number = {2},
Pages = {286-295},
Volume = {54}
}
@PhdThesis{Nozick1963,
Title = {The Normative Theory of Individual Choice},
Author = {Nozick, Robert},
School = {Princeton University},
Year = {1963},
Type = {dissertation}
}
@Book{Osborne1994,
Title = {A Course in Game Theory},
Author = {Osborne, Martin J. and Rubinstein, Ariel},
Publisher = {The MIT Press, Cambridge, Massachusetts},
Year = {1994}
}
@Article{Pearce1984,
Title = {Rationalizable Strategic Behaviour and the Problem of Perfection},
Author = {Pearce, David G.},
Journal = {Econometrica},
Year = {1984},
Number = {4},
Pages = {1029--1050},
Volume = {52}
}
@Article{Reny1988,
Title = {Common Knowledge and Games with Perfect Information},
Author = {Reny, Philip J.},
Journal = {PSA: Proceedings of the Biennial Meeting of the Philosophy of Science Association},
Year = {1988},
Pages = {363--369},
Publisher = {University of Chicago Press, Springer, Philosophy of Science Association}
}
@Article{Rubinstein1989,
Title = {The Electronic Mail Game: Strategic Behavior Under ''Almost Common Knowledge''},
Author = {Rubinstein, Ariel},
Journal = {The American Economic Review},
Year = {1989},
Number = {3},
Pages = {385--391},
Volume = {79}
}
@Book{Schiffer1972,
Title = {Meaning},
Author = {Schiffer, Stephen R.},
Publisher = {Clarendon Press},
Year = {1972},
Address = {Oxford}
}
@Article{Selten1975,
Title = {Reexamination of the Perfectness Concept for Equilibrium Points in Extensive Games},
Author = {Selten, Reinhard},
Journal = {International Journal of Game Theory},
Year = {1975},
Pages = {25--55},
Volume = {4}
}
@Article{Selten1965,
Title = {Spieltheoretische Behandlung eines Oligopolmodells mit Nachfragetr\"agheit},
Author = {Selten, Reinhard},
Journal = {Zeitschrift f\"ur die Gesamte Staatswissenschaft},
Year = {1965},
Pages = {301--324},
Volume = {121}
}
@Article{Tan1988,
Title = {The Bayesian Foundations of Solution Concepts of Games},
Author = {Tan, Tommy Chin-Chiu and Werlang, Sergio Ribeiro da Costa},
Journal = {Journal of Economic Theory},
Year = {1988},
Pages = {370--391},
Volume = {45}
}
@Book{vonNeumann1944,
Title = {Theory of Games and Economic Behavior (60th Anniversary Commemorative Edition)},
Author = {{von Neumann}, John and Morgenstern, Oskar},
Publisher = {Princeton University Press},
Year = {1944}
}
@TechReport{Werlang1986,
Title = {Common knowledge and game theory},
Author = {Werlang, Sergio Ribeiro da Costa},
Institution = {FGV/EPGE Escola Brasileira de Economia e Financas, Getulio Vargas Foundation (Brazil)},
Year = {1986},
Number = {74},
Type = {Economics Working Papers (Ensaios Economicos da EPGE)}
}
@Book{Wittgenstein1922,
Title = {Tractatus Logico-Philosophicus},
Author = {Wittgenstein, Ludwig},
Publisher = {Routledge \& Kegan Paul LTD},
Year = {1922},
Address = {London},
Note = {Reprint: 1983}
}
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