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The power of paradox: some recent developments in interactive epistemology

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  • Adam Brandenburger

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    File URL: http://hdl.handle.net/10.1007/s00182-006-0061-2
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    Bibliographic Info

    Article provided by Springer in its journal International Journal of Game Theory.

    Volume (Year): 35 (2007)
    Issue (Month): 4 (April)
    Pages: 465-492

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    Handle: RePEc:spr:jogath:v:35:y:2007:i:4:p:465-492

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    References

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    1. Martin J Osborne & Ariel Rubinstein, 2009. "A Course in Game Theory," Levine's Bibliography 814577000000000225, UCLA Department of Economics.
    2. Mertens, J.-F., 1988. "Stable equilibria - a reformulation," CORE Discussion Papers 1988038, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    3. Elmes Susan & Reny Philip J., 1994. "On the Strategic Equivalence of Extensive Form Games," Journal of Economic Theory, Elsevier, vol. 62(1), pages 1-23, February.
    4. Battigalli, Pierpaolo & Siniscalchi, Marciano, 1999. "Hierarchies of Conditional Beliefs and Interactive Epistemology in Dynamic Games," Journal of Economic Theory, Elsevier, vol. 88(1), pages 188-230, September.
    5. Blume, Lawrence & Brandenburger, Adam & Dekel, Eddie, 1991. "Lexicographic Probabilities and Choice under Uncertainty," Econometrica, Econometric Society, vol. 59(1), pages 61-79, January.
    6. Geir B. Asheim, 2002. "Proper rationalizability in lexicographic beliefs," International Journal of Game Theory, Springer, vol. 30(4), pages 453-478.
    7. Oliver Board, 2002. "Algorithmic Characterization of Rationalizability in Extensive Form Games," Working Papers 244, University of Pittsburgh, Department of Economics, revised Jan 2002.
    8. Brandenburger, Adam & Dekel, Eddie, 1987. "Rationalizability and Correlated Equilibria," Econometrica, Econometric Society, vol. 55(6), pages 1391-1402, November.
    9. Harsanyi, John C, 1995. "Games with Incomplete Information," American Economic Review, American Economic Association, vol. 85(3), pages 291-303, June.
    10. Stahl, Dale O., 1995. "Lexicographic rationalizability and iterated admissibility," Economics Letters, Elsevier, vol. 47(2), pages 155-159, February.
    11. Sylvain Sorin, 1998. "On the impact of an event," International Journal of Game Theory, Springer, vol. 27(3), pages 315-330.
    12. Balkenborg, Dieter & Eyal Winter, 1995. "A Necessary and Sufficient Epistemic Condition for Playing Backward Induction," Discussion Paper Serie B 331, University of Bonn, Germany.
    13. Aumann, Robert J., 1996. "Reply to Binmore," Games and Economic Behavior, Elsevier, vol. 17(1), pages 138-146, November.
    14. Harborne W. Stuart Jr. & Hong Hu, 2002. "An epistemic analysis of the Harsanyi transformation," International Journal of Game Theory, Springer, vol. 30(4), pages 517-525.
    15. Robert J. Aumann, 1999. "Interactive epistemology I: Knowledge," International Journal of Game Theory, Springer, vol. 28(3), pages 263-300.
    16. Heifetz, Aviad & Samet, Dov, 1998. "Knowledge Spaces with Arbitrarily High Rank," Games and Economic Behavior, Elsevier, vol. 22(2), pages 260-273, February.
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    Cited by:
    1. Bonanno, Giacomo, 2013. "A dynamic epistemic characterization of backward induction without counterfactuals," Games and Economic Behavior, Elsevier, vol. 78(C), pages 31-43.
    2. Moscati Ivan, 2009. "Interactive and common knowledge in the state-space model," CESMEP Working Papers 200903, University of Turin.
    3. Robin Cubitt & Robert Sugden, 2005. "Common reasoning in games: a resolution of the paradoxes of ‘common knowledge of rationality’," Discussion Papers 2005-17, The Centre for Decision Research and Experimental Economics, School of Economics, University of Nottingham.
    4. Velu, C. & Iyer, S., 2008. "The Rationality of Irrationality for Managers: Returns- Based Beliefs and the Traveller’s Dilemma," Cambridge Working Papers in Economics 0826, Faculty of Economics, University of Cambridge.
    5. Robin P. Cubitt & Robert Sugden, 2008. "Common reasoning in games," Discussion Papers 2008-01, The Centre for Decision Research and Experimental Economics, School of Economics, University of Nottingham.
    6. Robin P. Cubitt & Robert Sugden, 2011. "Common reasoning in games: A Lewisian analysis of common knowledge of rationality," Working Paper series, University of East Anglia, Centre for Behavioural and Experimental Social Science (CBESS) 11-05, School of Economics, University of East Anglia, Norwich, UK..
    7. Velu, C. & Iyer, S., 2008. "Returns-Based Beliefs and The Prisoner’s Dilemma," Cambridge Working Papers in Economics 0854, Faculty of Economics, University of Cambridge.
    8. Giacomo Bonanno, 2008. "Non-cooperative game theory," Working Papers 86, University of California, Davis, Department of Economics.
    9. Giacomo Bonanno, 2014. "Reasoning about strategies and rational play in dynamic games," Working Papers 149, University of California, Davis, Department of Economics.
    10. Andersson, Ola & Argenton, Cédric & Weibull, Jörgen W., 2012. "Robustness to Strategic Uncertainty," Working Paper Series 910, Research Institute of Industrial Economics.
    11. Johan Van Benthem & Eric Pacuit & Olivier Roy, 2011. "Toward a Theory of Play: A Logical Perspective on Games and Interaction," Games, MDPI, Open Access Journal, vol. 2(1), pages 52-86, February.

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