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Can One Hear the Shape of a Decision Problem?
Published 10 Mar 2024 in econ.TH | (2403.06344v2)
Abstract: We explore the connection between an agent's decision problem and her ranking of information structures. We find that a finite amount of ordinal data on the agent's ranking of experiments is enough to identify her (finite) set of undominated actions (up to relabeling and duplication) and the beliefs rendering each such action optimal. An additional smattering of cardinal data, comparing the relative value to the agent of finitely many pairs of experiments, identifies her utility function up to an action-independent payoff.
- Sydney N Afriat. The construction of utility functions from expenditure data. International economic review, 8(1):67–77, 1967.
- The value of information in monotone decision problems. Research in Economics, 72(1):101–116, 2018.
- The value of a stochastic information structure. Games and Economic Behavior, 63(2):679–693, 2008.
- David Blackwell. Comparison of experiments. In Proceedings of the Second Berkeley Symposium on Mathematical Statistics and Probability, pages 93–102, Berkeley, Calif., 1951. University of California Press.
- David Blackwell. Equivalent comparisons of experiments. The Annals of Mathematical Statistics, 24(2):265–272, 1953.
- Revealed preference, rational inattention, and costly information acquisition. American Economic Review, 105(7):2183–2203, 2015.
- Comparison of decisions under unknown experiments. Journal of Political Economy, 129(11):3185–3205, 2021.
- Rationalizable learning. Mimeo, 2023.
- Another look at the Radner–Stiglitz nonconcavity in the value of information. Journal of Economic Theory, 107(2):421–452, 2002.
- Costly information acquisition. Journal of Economic Theory, 186:104979, 2020.
- A tight sufficient condition for Radner–Stiglitz nonconcavity in the value of information. Journal of Economic Theory, 137(1):696–708, 2007.
- Rationally inattentive preferences and hidden information costs. Theoretical Economics, 12(2):621–654, 2017.
- Experimental cost of information. American Economic Review, 112(9):3106–23, September 2022a.
- The experimental order on random posteriors, 2022b.
- A theory of subjective learning. Journal of Economic Theory, 153:287–312, 2014.
- General truthfulness characterizations via convex analysis. Games and Economic Behavior, 130:636–662, 2021.
- A revealed preference theory for expected utility. The Review of Economic Studies, 58(4):677–695, 06 1991.
- Nicholas S. Lambert. Elicitation and evaluation of statistical forecasts. Mimeo, 06 2019.
- Jonathan Libgober. Hypothetical beliefs identify information. arXiv preprint arXiv:2105.07097, 2021.
- Jay Lu. Bayesian identification: a theory for state-dependent utilities. American Economic Review, 109(9):3192–3228, 2019.
- A nonconcavity in the value of information. In M. Boyer, R. Kihlstrom (Eds.), Bayesian Models of Economic Theory, pages 33–52. Elsevier, Amsterdam, 1984.
- F. P. Ramsey. Weight or the value of knowledge. The British Journal for the Philosophy of Science, 41(1):1–4, 1990.
- Mark Whitmeyer. Making information more valuable. Mimeo, 2023.
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