Linked bibliography for the SEP article "Epistemic Foundations of Game Theory" by Eric Pacuit and Olivier Roy

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Abramsky, S. & J.A. Zvesper, 2012, “From Lawvere to Brandenburger-Keisler: interactive forms of diagonalization and self-reference”, in Coalgebraic Methods in Computer Science (LNCS, Vol. 7399, pp. 1–19), CoRR, abs/1006.0992. (Scholar)
Alchourrón, C.E., P. Gärdenfors, & D. Makinson, 1985, “On the logic of theory change: Partial meet contraction and revision functions”, Journal of Symbolic Logic, 50(2): 510–530. (Scholar)
Apt, K. & J. Zvesper, 2010, “The role of monotonicity in the epistemic analysis of strategic games”, Games, 1(4): 381–394, doi:10.3390/g1040381 (Scholar)
Asheim, G. & M. Dufwenberg, 2003, “Admissibility and common belief”, Game and Economic Behavior, 42: 208–234. (Scholar)
Aumann, R., 1976, “Agreeing to disagree”, The Annals of Statistics, 4(6): 1236–1239. (Scholar)
–––, 1987, “Correlated equilibrium as an expression of Bayesian rationality”, Econometrica, 55(1): 1–18. (Scholar)
–––, 1995, “Backward induction and common knowledge of rationality”, Games and Economic Behavior, 8(1): 6–19. (Scholar)
–––, 1999a, “Interactive epistemology I: Knowledge”, International Journal of Game Theory, 28(3): 263–300. (Scholar)
–––, 1999b, “Interactive epistemology II: Probability”, International Journal of Game Theory, 28(3): 301–314. (Scholar)
–––, 2010, “Interview on epistemic logic”, in V. F. Hendricks & O. Roy (Eds.), Epistemic logic: Five questions (pp. 21–35). Automatic Press. (Scholar)
Aumann, R. J., S. Hart, & M. Perry, 1997, “The absent-minded driver”, Games and Economic Behavior, 20(1): 102–116. (Scholar)
Aumann, R. & A. Brandenburger, 1995, “Epistemic conditions for Nash equilibrium”, Econometrica, 63(5): 1161–1180. (Scholar)
Aumann, R. & S. Hart, 1994, Handbook of game theory with economic applications (Vol. 2), Amsterdam: North Holland. (Scholar)
Baltag, A. & S. Smets, 2006, “Conditional doxastic models: A qualitative approach to dynamic belief revision”, in Electronic notes in theoretical computer science (Vol. 165, pp. 5–21), Springer. (Scholar)
Baltag, A., S. Smets, & J. Zvesper, 2009, “Keep ‘hoping’ for rationality: a solution to the backwards induction paradox”, Synthese, 169: 301–333. (Scholar)
Battigalli, P., 1997, “On rationalizability in extensive games”, Journal of Economic Theory, 74(1): 40–61. (Scholar)
Battigalli, P. & A. Friedenberg, 2012, “Forward induction reasoning revisited”, Theoretical Economics, 7(1): 57–98. (Scholar)
Battigalli, P. & M. Siniscalchi, 2002, “Strong belief and forward induction reasoning”, Journal of Economic Theory, 106(2): 356–391. (Scholar)
Battigalli, P., A. Di Tillio, & D. Samet, 2013, “Strategies and interactive beliefs in dynamic games”, in Advances in economics and econometrics: Theory and applications, Tenth World Congress, volume 1: economic theory, Cambridge: Cambridge University Press. (Scholar)
van Benthem, J., 2003, “Rational dynamic and epistemic logic in games”, in S. Vannucci (Ed.), Logic, game theory and social choice III, University of Siena, Department of Political Economy. (Scholar)
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–––, 2011, Logical dynamics of information and interaction, Cambridge: Cambridge University Press. (Scholar)
van Benthem, J. & A. Gheerbrant, 2010, “Game solution, epistemic dynamics and fixed-point logics”, Fundamenta Informaticae, 100: 1–23. (Scholar)
van Benthem, J., P. Girard, & O. Roy, 2009, “Everything else being equal: A modal logic for Ceteris Paribus preferences”, Journal of Philosophical Logic, 38: 83–125. (Scholar)
van Benthem, J., E. Pacuit, & O. Roy, 2011, “Toward a theory of play: A logical perspective on games and interaction”, Games, 2(1): 52–86. (Scholar)
Bernheim, D., 1984, “Rationalizable strategic behavior”, Econometrica, 52: 1007–1028. (Scholar)
Board, O., 2003, “The not-so-absent-minded driver”, Research in Economics, 57(3): 189–200. (Scholar)
Board, O., K.S. Chung, & B. Schipper, 2011, “Two models of unawareness: Comparing object-based and subjective-state-space approaches”, Synthese, 179: 13–34. (Scholar)
Bonanno, G., 1996, “On the logic of common belief”, Mathematical Logical Quarterly, 42: 305–311. (Scholar)
–––, 2004, “Memory and perfect recall in extensive games”, Games and Economic Behavior, 47(2): 237–256. (Scholar)
–––, 2013, “A dynamic epistemic characterization of backward induction without counterfactuals”, Games and Economic Behavior, 78: 31–43.
Brandenburger, A., 2003, “On the existence of a “complete” possibility structure”, in M. Basili, N. Dimitri, & I. Gilboa (Eds.), in Cognitive processes and economic behavior (pp. 30–34). Routledge. (Scholar)
–––, 2007, “A note on Kuhn’s theorem”, in J. van Benthem, D. Gabbay, & B. Loewe (Eds.), Interactive logic, proceedings of the 7th Augustus de Morgan workshop, London (pp. 71–88). Texts in Logic; Games, Amsterdam University Press. (Scholar)
–––, 2010, “Origins of epistemic game theory”, in V. F. Hendricks & O. Roy (Eds.), Epistemic logic: Five questions (pp. 59–69). Automatic Press. (Scholar)
Brandenburger, A. & E. Dekel, 1987, “Rationalizability and correlated equilibria”, Econometrica, 55(6): 1391–1402. (Scholar)
–––, 1993, “Hierarchies of beliefs and common knowledge”, Journal of Economic Theory, 59. (Scholar)
Brandenburger, A. & A. Friedenberg, 2008, “Intrinsic correlation in games”, Journal of Economic Theory, 141(1): 28–67. (Scholar)
–––, 2010, “Self-admissible sets”, Journal of Economic Theory, 145: 785–811. (Scholar)
Brandenburger, A. & H. Keisler, 2006, “An impossibility theorem on beliefs in games”, Studia Logica, 84(2): 211–240. (Scholar)
Brandenburger, A., A. Friedenberg, & H.J. Keisler, 2008, “Admissibility in games”, Econometrica, 76(2): 307–352. (Scholar)
de Bruin, B., 2010, Explaining games : The epistemic programme in game theory, New York City: Springer. (Scholar)
Chen, Y.C., J. Ely, & X. Luo, 2012, “Note on unawareness: Negative introspection versus AU introspection (and KU introspection)”, International Journal of Game Theory, 41(2): 325 - 329. (Scholar)
Colman, A., 2003, “Cooperation, psychological game theory, and limitations of rationality in social interactions”, Behavioral and Brain Sciences, 26: 139–198. (Scholar)
Cubitt, R.P. & R. Sugden, 1994, “Rationally justifiable play and the theory of non-cooperative games”, The Economic Journal, 104(425): 798–893. (Scholar)
–––, 2014, “ Common reasoning in games: A Lewisian analysis of common knowledge of rationality”, Economics and Philosophy, 30(03): 285–329. (Scholar)
Dekel, E., B. Lipman, & A. Rustichini, 1998, “Standard state-space models preclude unawareness”, Econometrica, 66: 159–173. (Scholar)
Doyle, A.C., 1894, The Memoirs of Sherlock Holmes, Mineola, NY: Dover Thrift Edition, 2010. (Scholar)
Fagin, R., J. Geanakoplos, J. Halpern, & M. Vardi, 1999, “The hierarchical approach to modeling knowledge and common knowledge”, International Journal of Game Theory, 28(3): 331–365. (Scholar)
Fagin, R., J. Halpern, & N. Megiddo, 1990, “A logic for reasoning about probabilities”, Information and Computation, 87(1–2): 78–128.
Fagin, R., J. Halpern, Y. Moses, & M. Vardi, 1995, Reasoning about knowledge, Cambridge: The MIT Press. (Scholar)
Finetti, B., 1974, Theory of probability, vols. 1 and 2, New York: Wiley. (Scholar)
Friedenberg, A. & H.J. Keisler, 2011, “Iterated dominance revisited”, in Proceedings of the behavioral and quantitative game theory: Conference on future directions, ACM, New York, NY. [available online]. (Scholar)
Friedenberg, A. & M. Meier, 2009, “The context of a game”, in Proceedings of the 12th Conference on Theoretical Aspects of Rationality and Knowledge, pp. 134–135 [available online]. (Scholar)
Gintis, H., 2009, The bounds of reason: game theory and the unification of the behavioral sciences, Princeton: Princeton University Press. (Scholar)
Halpern, J.Y., 1991, “The relationship between knowledge, belief, and certainty”, Annals of Mathematics and Artificial Intelligence, 4(3): 301–322. [available online]. (Scholar)
–––, 1997, “On ambiguities in the interpretation of game trees”, Games and Economic Behavior, 20(1): 66–96. (Scholar)
–––, 1999, “Set-theoretic completeness for epistemic and conditional logic”, Annals of Mathematics and Artificial Intelligence, 26: 1–27. (Scholar)
–––, 2001a, “Alternative semantics for unawareness”, Game and Economic Behavior, 37: 321–339. (Scholar)
–––, 2001b, “Substantive rationality and backward induction”, Games and Economic Behavior, 37(2): 425–435. (Scholar)
–––, 2003, Reasoning about uncertainty, Cambridge: The MIT Press. (Scholar)
–––, 2010, “Lexiographic probability, conditional probability and nonstandard probability”, Games and Economic Behavior, 68(1): 155–179. (Scholar)
Halpern, J.Y. & R. Pass, 2009, “A logical characterization of iterated admissibility”, in A. Heifetz (Ed.), Proceedings of the twelfth conference on theoretical aspects of rationality and knowledge (pp. 146–155).
–––, 2011, “Iterated regret minimization: A new solution concept”, Games and Economic Behavior, 74(1): 184–207 [available online]. (Scholar)
Halpern, J.Y. & L.C. Rego, 2008, “Interactive unawareness revisited”, Games and Economic Behavior, 62(1): 232–262. (Scholar)
Harsanyi, J.C., 1967–68, “Games with incomplete information played by ‘Bayesian’ players, parts I–III”, Management Science, 14: 159–182; 14: 320–334; 14: 486–502. (Scholar)
Heifetz, A., 1999, “How canonical is the canonical model? A comment on Aumann’s interactive epistemology”, International Journal of Game Theory, 28(3): 435–442. (Scholar)
Heifetz, A. & P. Mongin, 2001, “Probability Logic for Type Spaces”, Games and Economic Behavior, 35(1–2): 31–53. (Scholar)
Heifetz, A. & D. Samet, 1998, “Knowledge spaces with arbitrarily high rank”, Games and Economic Behavior, 22(2): 260–273. (Scholar)
Heifetz, A., M. Meier, & B. Schipper, 2006, “Interactive unawareness”, Journal of Economic Theory, 130: 78–94. (Scholar)
Hendricks, V. & J. Symons, 2009, “Epistemic logic”, in E. N. Zalta (Ed.), The Stanford Encyclopedia of Philosophy (Spring 2009 Edition), URL = <https://plato.stanford.edu/archives/spr2009/entries/logic-epistemic/>. (Scholar)
Hoek, W. van der & M. Pauly, 2007, “Modal logic for games and information”, in P. Blackburn, J. van Benthem, & F. Wolter (Eds.), Handbook of modal logic (Vol. 3), Amsterdam: Elsevier. (Scholar)
Huber, F., 2009, “Formal representations of belief”, in E. N. Zalta (Ed.), The Stanford Encyclopedia of Philosophy (Summer 2009 Edition), URL = <https://plato.stanford.edu/archives/sum2009/entries/formal-belief/>. (Scholar)
Joyce, J., 2004, “Bayesianism”, in A. Mele & P. Rawling (Eds.), The Oxford handbook of rationality, Oxford: Oxford University Press. (Scholar)
Kadane, J.B. & P.D. Larkey, 1982, “Subjective probability and the theory of games”, Management Science, 28(2): 113–120. [available online] (Scholar)
–––, 1983, “The confusion of is and ought in game theoretic contexts”, Management Science, 29(12): 1365–1379. [available online] (Scholar)
Kaneko, M. & J. Kline, 1995, “Behavior strategies, mixed strategies and perfect recall”, International Journal of Game Theory, 24: 127–145. (Scholar)
Kline, J., 2002, “Minimum memory for equivalence between Ex Ante optimality and time-consistency”, Games and Economic Behavior, 38: 278–305. (Scholar)
Kuhn, H., 1953, “Extensive games and the problem of information”, in H. Kuhn & A. Tucker (Eds.), Contributions to the theory of games, vol. II, Princeton: Princeton University Press. (Scholar)
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Leyton-Brown, K. & Y. Shoham, 2008, Essentials of game theory: A concise, multidisciplinary introduction, New York: Morgan & Claypool. (Scholar)
Lismont, L. & P. Mongin, 1994, “On the logic of common belief and common knowledge”, Theory and Decision, 37(1): 75–106. (Scholar)
–––, 2003, “Strong Completeness Theorems for Weak Logics of Common Belief”, Journal of Philosophical Logic, 32(2): 115–137. (Scholar)
Liu, F., 2011, “A two-level perspective on preference”, Journal of Philosophical Logic, 40(3): 421–439.
Lorini, E. & F. Schwarzentruber, 2010, “A modal logic of epistemic games”, Games, 1(4): 478–526.
Mariotti, T., M. Meier, & M. Piccione, 2005, “Hierarchies of beliefs for compact possibility models”, Journal of Mathematical Economics, 41: 303–324. (Scholar)
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–––, 1999, “Unawareness and partitional information structures”, Game and Economic Behavior, 27: 265–298. (Scholar)
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Pacuit, E., 2007, “Understanding the Brandenburger-Keisler paradox”, Studia Logica, 86(3): 435–454. (Scholar)
Pacuit, E. & O. Roy, 2011, “A dynamic analysis of interactive rationality”, in H. van Ditmarsch, J. Lang, & S. Ju (Eds.), Proceedings of the third international workshop on logic, rationality and interaction (Vol. 6953, pp. 244–258).
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