IDEAS home Printed from https://ideas.repec.org/a/eee/gamebe/v63y2008i2p679-693.html
   My bibliography  Save this article

The value of a stochastic information structure

Author

Listed:
  • Azrieli, Yaron
  • Lehrer, Ehud

Abstract

Upon observing a signal, a Bayesian decision maker updates her probability distribution over the state space, chooses an action, and receives a payoff that depends on the state and the action taken. An information structure determines the set of possible signals and the probability of each signal given a state. For a fixed decision problem, the value of an information structure is the maximal expected utility that the decision maker can get when the observed signals are governed by this structure. Thus, every decision problem induces a preference order over information structures according to their value. We characterize preference orders that can be obtained in this way. We also characterize the functions defined over information structures that measure their value.

Suggested Citation

  • Azrieli, Yaron & Lehrer, Ehud, 2008. "The value of a stochastic information structure," Games and Economic Behavior, Elsevier, vol. 63(2), pages 679-693, July.
    • Handle: RePEc:eee:gamebe:v:63:y:2008:i:2:p:679-693
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0899-8256(05)00164-8
    Download Restriction: Full text for ScienceDirect subscribers only
    ---><---

    As the access to this document is restricted, you may want to look for a different version below or search for a different version of it.

    Other versions of this item:

    References listed on IDEAS

    as
    1. Gilboa, Itzhak & Lehrer, Ehud, 1991. "The value of information - An axiomatic approach," Journal of Mathematical Economics, Elsevier, vol. 20(5), pages 443-459.
    2. Eliaz, Kfir & Spiegler, Ran, 2006. "Can anticipatory feelings explain anomalous choices of information sources?," Games and Economic Behavior, Elsevier, vol. 56(1), pages 87-104, July.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Antonio Cabrales & Olivier Gossner & Roberto Serrano, 2013. "Entropy and the Value of Information for Investors," American Economic Review, American Economic Association, vol. 103(1), pages 360-377, February.
    2. Mark Whitmeyer, 2022. "Making Information More Valuable," Papers 2210.04418, arXiv.org, revised Jun 2024.
    3. Bernard de Meyer & Ehud Lehrer & Dinah Rosenberg, 2009. "Evaluating information in zero-sum games with incomplete information on both sides," Post-Print halshs-00390625, HAL.
    4. Ludvig Sinander, 2023. "Optimism, overconfidence, and moral hazard," Papers 2304.08343, arXiv.org, revised May 2024.
    5. Rommeswinkel, Hendrik & Chang, Hung-Chi & Hsu, Wen-Tai, 2023. "Preference for Knowledge," Journal of Economic Theory, Elsevier, vol. 214(C).
    6. Ambuehl, Sandro & Li, Shengwu, 2018. "Belief updating and the demand for information," Games and Economic Behavior, Elsevier, vol. 109(C), pages 21-39.
    7. Alexander M. Jakobsen, 2021. "An Axiomatic Model of Persuasion," Econometrica, Econometric Society, vol. 89(5), pages 2081-2116, September.
    8. Michel de Lara & Olivier Gossner, 2020. "Payoffs-Beliefs Duality and the Value of Information," Post-Print hal-01941006, HAL.
    9. Bernard Herskovic & João Ramos, 2020. "Acquiring Information through Peers," American Economic Review, American Economic Association, vol. 110(7), pages 2128-2152, July.
    10. Eran Shmaya, 2006. "The Value of Information Structures in Zero-sum Games with Lack of Information on One Side," International Journal of Game Theory, Springer;Game Theory Society, vol. 34(2), pages 155-165, August.
    11. Áron Tóbiás, 2023. "Cognitive limits and preferences for information," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 46(1), pages 221-253, June.
    12. Ehud Lehrer & Tao Wang, 2022. "The Value of Information in Stopping Problems," Papers 2205.06583, arXiv.org.
    13. Michel De Lara & Olivier Gossner, 2017. "An instrumental approach to the value of information," Working Papers 2017-49, Center for Research in Economics and Statistics.
    14. Li, Jian & Zhou, Junjie, 2016. "Blackwell's informativeness ranking with uncertainty-averse preferences," Games and Economic Behavior, Elsevier, vol. 96(C), pages 18-29.
    15. Bernard De Meyer & Ehud Lehrer & Dinah Rosenberg, 2010. "Evaluating Information in Zero-Sum Games with Incomplete Information on Both Sides," Mathematics of Operations Research, INFORMS, vol. 35(4), pages 851-863, November.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Kops, Christopher & Pasichnichenko, Illia, 2023. "Testing negative value of information and ambiguity aversion," Journal of Economic Theory, Elsevier, vol. 213(C).
    2. Ehud Lehrer & Dinah Rosenberg, 2003. "Information and Its Value in Zero-Sum Repeated Games," Game Theory and Information 0312003, University Library of Munich, Germany.
    3. Aouani, Zaier & Chateauneuf, Alain, 2008. "Exact capacities and star-shaped distorted probabilities," Mathematical Social Sciences, Elsevier, vol. 56(2), pages 185-194, September.
    4. Rébillé, Yann, 2011. "A Radon-Nikodym approach to measure information," Mathematical Social Sciences, Elsevier, vol. 61(3), pages 170-177, May.
    5. Nikolaus Schweizer & Nora Szech, 2018. "Optimal Revelation of Life-Changing Information," Management Science, INFORMS, vol. 64(11), pages 5250-5262, November.
    6. Alexander M. Jakobsen, 2021. "An Axiomatic Model of Persuasion," Econometrica, Econometric Society, vol. 89(5), pages 2081-2116, September.
    7. Antonio Cabrales & Olivier Gossner & Roberto Serrano, 2013. "Entropy and the Value of Information for Investors," American Economic Review, American Economic Association, vol. 103(1), pages 360-377, February.
    8. repec:bla:germec:v:11:y:2010:i::p:381-396 is not listed on IDEAS
    9. Emir Kamenica & Matthew Gentzkow, 2011. "Bayesian Persuasion," American Economic Review, American Economic Association, vol. 101(6), pages 2590-2615, October.
    10. Áron Tóbiás, 2023. "Cognitive limits and preferences for information," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 46(1), pages 221-253, June.
    11. Chen, Si, 2012. "Optimistic versus Pessimistic--Optimal Judgemental Bias with Reference Point," MPRA Paper 50693, University Library of Munich, Germany.
    12. Lorenzo Bastianello & Alain Chateauneuf & Bernard Cornet, 2022. "Put-Call Parities, absence of arbitrage opportunities and non-linear pricing rules," Papers 2203.16292, arXiv.org.
    13. Bernard de Meyer & Ehud Lehrer & Dinah Rosenberg, 2009. "Evaluating information in zero-sum games with incomplete information on both sides," Post-Print halshs-00390625, HAL.
    14. Botond Kőszegi, 2010. "Utility from anticipation and personal equilibrium," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 44(3), pages 415-444, September.
    15. Duraj, Jetlir & He, Kevin, 2024. "Dynamic information preference and communication with diminishing sensitivity over news," Theoretical Economics, Econometric Society, vol. 19(3), July.
    16. Ananda Ganguly & Joshua Tasoff, 2017. "Fantasy and Dread: The Demand for Information and the Consumption Utility of the Future," Management Science, INFORMS, vol. 63(12), pages 4037-4060, December.
    17. Kfir Eliaz & Ran Spiegler, 2024. "News Media as Suppliers of Narratives (and Information)," Papers 2403.09155, arXiv.org.
    18. Costis Skiadas, 1991. "Conditioning and Aggregation of Preferences," Discussion Papers 1010, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
    19. Roland Bénabou, 2013. "Groupthink: Collective Delusions in Organizations and Markets," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 80(2), pages 429-462.
    20. Gilboa, Itzhak & Lehrer, Ehud, 1991. "Global Games," International Journal of Game Theory, Springer;Game Theory Society, vol. 20(2), pages 129-147.
    21. F. Barigozzi & R. Levaggi, 2006. "A Rationale for Searching (Imprecise) Health Information," Working Papers 559, Dipartimento Scienze Economiche, Universita' di Bologna.

    More about this item

    JEL classification:

    • D80 - Microeconomics - - Information, Knowledge, and Uncertainty - - - General
    • D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty
    • D84 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Expectations; Speculations

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:gamebe:v:63:y:2008:i:2:p:679-693. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/inca/622836 .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.