The Value of Information in Monotone Decision Problems
AbstractFebruary 2001 This paper studies decision problems under uncertainty where a decision-maker observes an imperfect signal about the true state of the world. We analyze the information preferences and information demand of such decision-makers, based on properties of their payoff functions. We restrict attention to "monotone decision problems," whereby the posterior beliefs induced by the signal can be ordered so that higher actions are chosen in response to higher signal realizations. Monotone decision problems are frequently encountered in economic modeling. We provide necessary and sufficient conditions for all decision makers with different classes of payoff functions to prefer one information structure to another. We also provide conditions under which two decision-makers in a given class can be ranked in terms of their marginal value for information and hence information demand. Applications and examples are given. Working Papers Index
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Date of creation: Feb 2001
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Other versions of this item:
- Susan Athey & Jonathan Levin, 1998. "The Value of Information In Monotone Decision Problems," Working papers 98-24, Massachusetts Institute of Technology (MIT), Department of Economics.
- NEP-ALL-2001-04-11 (All new papers)
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- Rothschild, Michael & Stiglitz, Joseph E., 1970. "Increasing risk: I. A definition," Journal of Economic Theory, Elsevier, vol. 2(3), pages 225-243, September.
- Grant, S & Kajii, A & Polak, B, 1997.
"Intrinsic Preference for Information,"
323, Australian National University - Department of Economics.
- Paul R. Milgrom, 1981.
"Good News and Bad News: Representation Theorems and Applications,"
Bell Journal of Economics,
The RAND Corporation, vol. 12(2), pages 380-391, Autumn.
- Paul R. Milgrom, 1979. "Good Nevs and Bad News: Representation Theorems and Applications," Discussion Papers 407R, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
- Jewitt, Ian, 1986. "A note on comparative statics and stochastic dominance," Journal of Mathematical Economics, Elsevier, vol. 15(3), pages 249-254, June.
- Philippe Aghion & Jean Tirole, 1994.
"Normal and Real Authority in Organizations,"
94-13, Massachusetts Institute of Technology (MIT), Department of Economics.
- Aghion, Philippe & Tirole, Jean, 1994. "Formal and Real Authority in Organizations," IDEI Working Papers 37, Institut d'Économie Industrielle (IDEI), Toulouse.
- Philippe Aghion & Jean Tirole, 1994. "Formal and Real Authority in Organizations," Working papers 95-8, Massachusetts Institute of Technology (MIT), Department of Economics.
- Aghion, Philippe & Tirole, Jean, 1997. "Formal and Real Authority in Organizations," Scholarly Articles 4554125, Harvard University Department of Economics.
- Milgrom, Paul & Shannon, Chris, 1994.
"Monotone Comparative Statics,"
Econometric Society, vol. 62(1), pages 157-80, January.
- Larry G. Epstein & Stephen M. Tanny, 1980. "Increasing Generalized Correlation: A Definition and Some Economic Consequences," Canadian Journal of Economics, Canadian Economics Association, vol. 13(1), pages 16-34, February.
- Shannon, Chris, 1995. "Weak and Strong Monotone Comparative Statics," Economic Theory, Springer, vol. 5(2), pages 209-27, March.
- Nicola Persico, 2000.
"Information Acquisition in Auctions,"
Econometric Society, vol. 68(1), pages 135-148, January.
- Athey, S, 1996. "Comparative Statics under Uncertainty : Single Crossing Properties and Log-Supermodularity," Working papers 96-22, Massachusetts Institute of Technology (MIT), Department of Economics.
- Athey, S., 1996. "Characterizing Properties of Stochastic Objective Functions," Working papers 96-1, Massachusetts Institute of Technology (MIT), Department of Economics.
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