IDEAS home Printed from https://ideas.repec.org/p/pra/mprapa/92535.html
   My bibliography  Save this paper

Procedural Mixture Spaces

Author

Listed:
  • Rommeswinkel, Hendrik

Abstract

This paper provides a representation theorem for procedural mixture spaces. Procedural mixture spaces are mixture spaces in which it is not necessarily true that a mixture of two identical elements yields the same element. Under the remaining standard assumptions of mixture spaces, the following representation theorem is proven; a rational, independent, and continuous preference relation over mixture spaces can be represented either by expected utility plus the Shannon entropy or by expected utility under probability distortions plus the Renyi entropy. The entropy components can be interpreted as the utility or disutility from resolving the mixture and therefore as a procedural as opposed to consequentialist value.

Suggested Citation

  • Rommeswinkel, Hendrik, 2019. "Procedural Mixture Spaces," MPRA Paper 92535, University Library of Munich, Germany.
  • Handle: RePEc:pra:mprapa:92535
    as

    Download full text from publisher

    File URL: https://mpra.ub.uni-muenchen.de/92535/1/MPRA_paper_92535.pdf
    File Function: original version
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Frankel, David M. & Volij, Oscar, 2011. "Measuring school segregation," Journal of Economic Theory, Elsevier, vol. 146(1), pages 1-38, January.
    2. Anand, Paul & Pattanaik, Prasanta & Puppe, Clemens (ed.), 2009. "The Handbook of Rational and Social Choice," OUP Catalogue, Oxford University Press, number 9780199290420.
    3. Andrew Caplin & Mark Dean & John Leahy, 2022. "Rationally Inattentive Behavior: Characterizing and Generalizing Shannon Entropy," Journal of Political Economy, University of Chicago Press, vol. 130(6), pages 1676-1715.
    4. Patrick Suppes, 1996. "The nature and measurement of freedom," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 13(2), pages 183-200, April.
    5. Sims, Christopher A., 2003. "Implications of rational inattention," Journal of Monetary Economics, Elsevier, vol. 50(3), pages 665-690, April.
    Full references (including those not matched with items on IDEAS)

    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. Philippe Jehiel & Jakub Steiner, 2020. "Selective Sampling with Information-Storage Constraints [On interim rationality, belief formation and learning in decision problems with bounded memory]," The Economic Journal, Royal Economic Society, vol. 130(630), pages 1753-1781.
    2. Bartosz Maćkowiak & Filip Matějka & Mirko Wiederholt, 2023. "Rational Inattention: A Review," Journal of Economic Literature, American Economic Association, vol. 61(1), pages 226-273, March.
    3. Tommaso Denti & Doron Ravid, 2023. "Robust Predictions in Games with Rational Inattention," Papers 2306.09964, arXiv.org.
    4. Figueroa, Nicolás & Guadalupi, Carla, 2021. "Testing the sender: When signaling is not enough," Journal of Economic Theory, Elsevier, vol. 197(C).
    5. Matysková, Ludmila & Rogers, Brian & Steiner, Jakub & Sun, Keh-Kuan, 2020. "Habits as adaptations: An experimental study," Games and Economic Behavior, Elsevier, vol. 122(C), pages 391-406.
    6. David Walker-Jones, 2019. "Rational Inattention and Perceptual Distance," Papers 1909.00888, arXiv.org, revised Dec 2019.
    7. Mark Whitmeyer, 2022. "Making Information More Valuable," Papers 2210.04418, arXiv.org, revised Jun 2024.
    8. Hippel, Svenja & Hillenbrand, Adrian, 2018. "Strategic Inattention in Product Search," VfS Annual Conference 2018 (Freiburg, Breisgau): Digital Economy 181510, Verein für Socialpolitik / German Economic Association.
    9. Krüger, Fabian & Pavlova, Lora, 2019. "Quantifying subjective oncertainty in survey expectations," Working Papers 0664, University of Heidelberg, Department of Economics.
    10. Monte, Daniel & Linhares, Luis Henrique, 2023. "Stealth Startups, Clauses, and Add-ons: A Model of Strategic Obfuscation," MPRA Paper 115926, University Library of Munich, Germany.
    11. Brice Corgnet & Roberto Hernán González, 2023. "On The Appeal Of Complexity," Working Papers 2312, Groupe d'Analyse et de Théorie Economique Lyon St-Étienne (GATE Lyon St-Étienne), Université de Lyon.
    12. Mogens Fosgerau & Emerson Melo & André de Palma & Matthew Shum, 2020. "Discrete Choice And Rational Inattention: A General Equivalence Result," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 61(4), pages 1569-1589, November.
    13. Mattsson, Lars-Göran & Weibull, Jörgen W., 2023. "An analytically solvable principal-agent model," Games and Economic Behavior, Elsevier, vol. 140(C), pages 33-49.
    14. Flynn, Joel P. & Sastry, Karthik A., 2023. "Strategic mistakes," Journal of Economic Theory, Elsevier, vol. 212(C).
    15. Xavier Gabaix, 2017. "Behavioral Inattention," NBER Working Papers 24096, National Bureau of Economic Research, Inc.
    16. Luciano Pomatto & Philipp Strack & Omer Tamuz, 2018. "The Cost of Information: The Case of Constant Marginal Costs," Papers 1812.04211, arXiv.org, revised Feb 2023.
    17. Tsakas, Elias, 2018. "Robust scoring rules," Research Memorandum 023, Maastricht University, Graduate School of Business and Economics (GSBE).
    18. Frank Huettner & Tamer Boyacı & Yalçın Akçay, 2019. "Consumer Choice Under Limited Attention When Alternatives Have Different Information Costs," Operations Research, INFORMS, vol. 67(3), pages 671-699, May.
    19. Tian, Jianrong, 2024. "Informational separability and entropy," Journal of Economic Theory, Elsevier, vol. 216(C).
    20. Steiner, Jakub & Jehiel, Philippe, 2017. "On Second Thoughts, Selective Memory, and Resulting Behavioral Biases," CEPR Discussion Papers 12546, C.E.P.R. Discussion Papers.

    More about this item

    Keywords

    Risk; decision theory; procedural value; lotteries; mixture spaces;
    All these keywords.

    JEL classification:

    • D01 - Microeconomics - - General - - - Microeconomic Behavior: Underlying Principles
    • D03 - Microeconomics - - General - - - Behavioral Microeconomics: Underlying Principles
    • D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty

    NEP fields

    This paper has been announced in the following NEP Reports:

    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:pra:mprapa:92535. 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: Joachim Winter (email available below). General contact details of provider: https://edirc.repec.org/data/vfmunde.html .

    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.