Inductive Reasoning About Unawareness
We develop a model of games with awareness that allows for differential levels of awareness. We show that, for the standard modal logical interpretations of belief and awareness, a player cannot believe there exist propositions of which he is unaware. Nevertheless, we argue that a boundedly rational individual may regard the possibility that there exist propositions of which she is unaware as being supported by inductive reasoning, based on past experience and consideration of the limited awareness of others. In this paper, we provide a formal representation of inductive reasoning in the context of a dynamic game with awareness. We show that, given differential awareness over time and between players, individuals can derive inductive support for propositions expressing their own unawareness.
|Date of creation:||16 Jun 2009|
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- Martin Meier & Burkhard C. Schipper & Aviad Heifetz, 2009.
"Dynamic Unawareness and Rationalizable Behavior,"
910, University of California, Davis, Department of Economics.
- Heifetz, Aviad & Meier, Martin & Schipper, Burkhard C, 2009. "Dynamic Unawareness and Rationalizable Behavior," MPRA Paper 15058, University Library of Munich, Germany.
- Aviad Heifetz & Martin Meier & Burkhard Schipper, 2011. "Dynamic unawareness and rationalizable behavior," Working Papers 113, University of California, Davis, Department of Economics.
- Heifetz, Aviad & Meier, Martin & Schipper, Burkhard C., 2005.
Discussion Paper Series of SFB/TR 15 Governance and the Efficiency of Economic Systems
52, Free University of Berlin, Humboldt University of Berlin, University of Bonn, University of Mannheim, University of Munich.
- Gollier, Christian & Jullien, Bruno & Treich, Nicolas, 2000. "Scientific progress and irreversibility: an economic interpretation of the 'Precautionary Principle'," Journal of Public Economics, Elsevier, vol. 75(2), pages 229-253, February.
- Simon Grant & John Quiggin, 2008.
"Bounded rationality and small worlds,"
Risk & Uncertainty Working Papers
WPR08_2, Risk and Sustainable Management Group, University of Queensland.
- Grant, Simon & Quiggin, John, 2008. "Bounded Rationality and Small Worlds," Risk and Sustainable Management Group Working Papers 151187, University of Queensland, School of Economics.
- Martin J. Osborne & Ariel Rubinstein, 1994.
"A Course in Game Theory,"
MIT Press Books,
The MIT Press,
edition 1, volume 1, number 0262650401, June.
- Spyros Galanis, 2011. "Syntactic foundations for unawareness of theorems," Theory and Decision, Springer, vol. 71(4), pages 593-614, October.
- Halpern, Joseph Y. & Rego, Leandro Chaves, 2008. "Interactive unawareness revisited," Games and Economic Behavior, Elsevier, vol. 62(1), pages 232-262, January.
- repec:ecl:ucdeco:09-10 is not listed on IDEAS
- Modica, Salvatore & Rustichini, Aldo, 1999. "Unawareness and Partitional Information Structures," Games and Economic Behavior, Elsevier, vol. 27(2), pages 265-298, May.
- Simon Grant & John Quiggin, 2005.
"Learning and Discovery,"
Risk & Uncertainty Working Papers
WP7R05, Risk and Sustainable Management Group, University of Queensland.
- Grant, Simon & Quiggin, John, 2006. "Learning and Discovery," Risk and Sustainable Management Group Working Papers 151174, University of Queensland, School of Economics.
- Eddie Dekel & Barton L. Lipman & Aldo Rustichini, 1998. "Standard State-Space Models Preclude Unawareness," Econometrica, Econometric Society, vol. 66(1), pages 159-174, January.
- Grant, Simon & Quiggin, John, 2012.
"Bounded Awareness, Heuristics and the Precautionary Principle,"
Risk and Sustainable Management Group Working Papers
151203, University of Queensland, School of Economics.
- Grant, Simon & Quiggin, John, 2013. "Bounded awareness, heuristics and the Precautionary Principle," Journal of Economic Behavior & Organization, Elsevier, vol. 93(C), pages 17-31.
- Halpern, Joseph Y. & Rêgo, Leandro C., 2009. "Reasoning about knowledge of unawareness," Games and Economic Behavior, Elsevier, vol. 67(2), pages 503-525, November.
- Leandro Rêgo & Joseph Halpern, 2012. "Generalized solution concepts in games with possibly unaware players," International Journal of Game Theory, Springer, vol. 41(1), pages 131-155, February.
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