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The Value of Information: The Case of Signal-Dependent Opportunity Sets

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  • Sulganik, Eyal
  • Zilcha, Itzhak
Abstract
We generalize the economic decision problem considered by Blackwell (1953) in which a decision maker chooses an action after observing a signal correlated to the state of nature. Unlike Blackwell's case where the feasible set is fixed, in our framework, the feasible set of actions depends on the signal and the information system. As we indicate such a framework has more significance to economic models. We show that in this case, contrary to Blackwell's well-known result, more information may be disadvantageous. We derive conditions for this general model which guarantee that more information is beneficial.

Suggested Citation

  • Sulganik, Eyal & Zilcha, Itzhak, 1996. "The Value of Information: The Case of Signal-Dependent Opportunity Sets," Foerder Institute for Economic Research Working Papers 275613, Tel-Aviv University > Foerder Institute for Economic Research.
    • Handle: RePEc:ags:isfiwp:275613
    DOI: 10.22004/ag.econ.275613
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    References listed on IDEAS

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    1. J. Hirshleifer, 1975. "Speculation and Equilibrium: Information, Risk, and Markets," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 89(4), pages 519-542.
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    5. Robert Wilson, 2005. "Information, efficiency, and the core of an economy," Studies in Economic Theory, in: Dionysius Glycopantis & Nicholas C. Yannelis (ed.), Differential Information Economies, pages 55-64, Springer.
    6. Grossman, Sanford J & Hart, Oliver D, 1983. "An Analysis of the Principal-Agent Problem," Econometrica, Econometric Society, vol. 51(1), pages 7-45, January.
    7. Hirshleifer, Jack, 1971. "The Private and Social Value of Information and the Reward to Inventive Activity," American Economic Review, American Economic Association, vol. 61(4), pages 561-574, September.
    8. Robert A. Jones & Joseph M. Ostroy, 1984. "Flexibility and Uncertainty," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 51(1), pages 13-32.
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    Cited by:

    1. Marcoul, Philippe & Weninger, Quinn, 2008. "Search and active learning with correlated information: Empirical evidence from mid-Atlantic clam fishermen," Journal of Economic Dynamics and Control, Elsevier, vol. 32(6), pages 1921-1948, June.
    2. Eckwert, B. & Zilcha, I., 1998. "The Value of Information in Some General Equilibrium Models," Papers 13-98, Tel Aviv.
    3. Bruno Bassan & Olivier Gossner & Marco Scarsini & Shmuel Zamir, 2003. "Positive value of information in games," International Journal of Game Theory, Springer;Game Theory Society, vol. 32(1), pages 17-31, December.
    4. Udo Broll & Bernhard Eckwert & Kit Pong Wong, 2014. "Transparency and Risk Sharing in International Trade," Manchester School, University of Manchester, vol. 82(6), pages 716-731, December.
    5. Emmanuel Haven, 2008. "Private Information and the ‘Information Function’: A Survey of Possible Uses," Theory and Decision, Springer, vol. 64(2), pages 193-228, March.
    6. Hiroyuki Nakata, 2011. "Equivalent comparisons of information channels," Theory and Decision, Springer, vol. 71(4), pages 559-574, October.
    7. Broll, Udo & Eckwert, Bernhard & Eickhoff, Andreas, 2012. "Financial intermediation and endogenous risk in the banking sector," Economic Modelling, Elsevier, vol. 29(5), pages 1618-1622.
    8. Chady Jabbour & Anis Hoayek & Jean-Michel Salles, 2022. "Formalizing a Two-Step Decision-Making Process in Land Use: Evidence from Controlling Forest Clearcutting Using Spatial Information," Land, MDPI, vol. 12(1), pages 1-17, December.
    9. Alfred Müller & Marco Scarsini, 2002. "Even Risk-Averters may Love Risk," Theory and Decision, Springer, vol. 52(1), pages 81-99, February.
    10. Lehrer, Ehud & Rosenberg, Dinah, 2006. "What restrictions do Bayesian games impose on the value of information?," Journal of Mathematical Economics, Elsevier, vol. 42(3), pages 343-357, June.
    11. Matthew Doyle, 2010. "Informational externalities, strategic delay, and optimal investment subsidies," Canadian Journal of Economics, Canadian Economics Association, vol. 43(3), pages 941-966, August.
    12. Bertocchi, Graziella & Spagat, Michael, 1998. "Growth under uncertainty with experimentation," Journal of Economic Dynamics and Control, Elsevier, vol. 23(2), pages 209-231, September.
    13. Eckwert, Bernhard & Zilcha, Itzhak, 2001. "The Value of Information in Production Economies," Journal of Economic Theory, Elsevier, vol. 100(1), pages 172-186, September.
    14. Broll, Udo & Eckwert, Bernhard & Eickhoff, Andreas, 2011. "Transparency in the banking sector," Dresden Discussion Paper Series in Economics 05/11, Technische Universität Dresden, Faculty of Business and Economics, Department of Economics.
    15. Hutniczak, Barbara & Münch, Angela, 2018. "Fishermen's location choice under spatio-temporal update of expectations," Journal of choice modelling, Elsevier, vol. 28(C), pages 124-136.
    16. Erin Baker, 2006. "Increasing Risk and Increasing Informativeness: Equivalence Theorems," Operations Research, INFORMS, vol. 54(1), pages 26-36, February.

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    More about this item

    Keywords

    Financial Economics;

    JEL classification:

    • C70 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - General
    • D80 - Microeconomics - - Information, Knowledge, and Uncertainty - - - General

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