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Assessing Strategic Risk

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Author Info
R. J. Aumann
J. H. Dreze

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Abstract

In recent decades, subjective probabilities have been increasingly applied to an adversary's choices in strategic games (SGs). In games against nature (GANs), the subjective probability of a state can be elicited from lotteries yielding utility 1 if that state obtains, 0 otherwise. But in SGs, making such a lottery available changes the game, and so the players' incentives. Here, we propose a definition of subjective probabilities in SGs that uses actually available strategies only. The definition applies also to GANs where the decision maker's options are restricted. The probabilities that emerge need not be unique, but expected utilities are unique. (JEL D81)

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File URL: http://hdl.handle.net/10.1257/mic.1.1.1
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Publisher Info
Article provided by American Economic Association in its journal American Economic Journal: Microeconomics.

Volume (Year): 1 (2009)
Issue (Month): 1 (February)
Pages: 1-16
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Handle: RePEc:aea:aejmic:v:1:y:2009:i:1:p:1-16

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Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
  1. John C. Harsanyi & Reinhard Selten, 1988. "A General Theory of Equilibrium Selection in Games," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262582384.
  2. Mariotti, Marco, 1995. "Is Bayesian Rationality Compatible with Strategic Rationality?," Economic Journal, Royal Economic Society, vol. 105(432), pages 1099-1109, September. [Downloadable!] (restricted)
  3. O'Neill, Barry, 1994. "Game theory models of peace and war," Handbook of Game Theory with Economic Applications, in: R.J. Aumann & S. Hart (ed.), Handbook of Game Theory with Economic Applications, edition 1, volume 2, chapter 29, pages 995-1053 Elsevier. [Downloadable!] (restricted)
  4. Aumann, Robert J., 1974. "Subjectivity and correlation in randomized strategies," Journal of Mathematical Economics, Elsevier, vol. 1(1), pages 67-96, March. [Downloadable!] (restricted)
  5. Brandenburger, Adam & Dekel, Eddie, 1987. "Rationalizability and Correlated Equilibria," Econometrica, Econometric Society, vol. 55(6), pages 1391-1402, November. [Downloadable!] (restricted)
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Cited by:
(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)

  1. Frank Heinemann & Rosemarie Nagel & Peter Ockenfels, 2004. "Measuring Strategic Uncertainty in Coordination Games," CESifo Working Paper Series CESifo Working Paper No. , CESifo Group Munich. [Downloadable!]
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  2. Jacques H. , DREZE, 2005. "Nested identification of subjective probabilities," Discussion Papers (ECON - Département des Sciences Economiques) 2005061, Université catholique de Louvain, Département des Sciences Economiques. [Downloadable!]
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