IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v269y1999i1p9-15.html
   My bibliography  Save this article

On the multinomial logit model

Author

Listed:
  • Marsili, Matteo

Abstract

We show that the Multinomial Logit model of bounded rational choice can be derived in the same way as the Gibbs–Boltzmann distribution in statistical physics. In particular, this model describes the behavior of a thermodynamic agent (which is an agent whose utility function depends on a very large number of variables) with respect to a small subset of variables “weakly interacting” with the others. We also show that the same model is obtained if entropic control costs or information costs are introduced, in which case the temperature like parameter can be considered as the price of (negative) entropy.

Suggested Citation

  • Marsili, Matteo, 1999. "On the multinomial logit model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 269(1), pages 9-15.
    • Handle: RePEc:eee:phsmap:v:269:y:1999:i:1:p:9-15
    DOI: 10.1016/S0378-4371(99)00074-6
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437199000746
    Download Restriction: Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000
    File URL: https://libkey.io/10.1016/S0378-4371(99)00074-6?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

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

    References listed on IDEAS

    as
    1. Drew Fudenberg & Jean Tirole, 1991. "Game Theory," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262061414, April.
    2. McKelvey Richard D. & Palfrey Thomas R., 1995. "Quantal Response Equilibria for Normal Form Games," Games and Economic Behavior, Elsevier, vol. 10(1), pages 6-38, July.
    3. Daniel L. McFadden, 1976. "Quantal Choice Analysis: A Survey," NBER Chapters, in: Annals of Economic and Social Measurement, Volume 5, number 4, pages 363-390, National Bureau of Economic Research, Inc.
    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. Tamotsu Onozaki, 2018. "Nonlinearity, Bounded Rationality, and Heterogeneity," Springer Books, Springer, number 978-4-431-54971-0, January.
    2. James Costain & Anton Nakov, 2019. "Logit Price Dynamics," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 51(1), pages 43-78, February.
    3. Costain, James & Nakov, Anton, 2015. "Precautionary price stickiness," Journal of Economic Dynamics and Control, Elsevier, vol. 58(C), pages 218-234.
    4. Yanagita, Tatsuo & Onozaki, Tamotsu, 2010. "Dynamics of market structure driven by the degree of consumer’s rationality," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(5), pages 1041-1054.
    5. Jean-Philippe Bouchaud, 2012. "Crises and collective socio-economic phenomena: simple models and challenges," Papers 1209.0453, arXiv.org, revised Dec 2012.
    6. Christoph J. Borner & Ingo Hoffmann & John H. Stiebel, 2023. "On the Connection between Temperature and Volatility in Ideal Agent Systems," Papers 2303.15164, arXiv.org.
    7. James Costain, 2017. "Costly decisions and sequential bargaining," Working Papers 1729, Banco de España.

    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. Zhang, Boyu & Hofbauer, Josef, 2016. "Quantal response methods for equilibrium selection in 2×2 coordination games," Games and Economic Behavior, Elsevier, vol. 97(C), pages 19-31.
    2. Scharfenaker, Ellis, 2020. "Implications of quantal response statistical equilibrium," Journal of Economic Dynamics and Control, Elsevier, vol. 119(C).
    3. Jehiel, Philippe, 2005. "Analogy-based expectation equilibrium," Journal of Economic Theory, Elsevier, vol. 123(2), pages 81-104, August.
    4. Choo, Lawrence C.Y & Kaplan, Todd R., 2014. "Explaining Behavior in the "11-20" Game," MPRA Paper 52808, University Library of Munich, Germany.
    5. Hommes, Cars H., 2006. "Heterogeneous Agent Models in Economics and Finance," Handbook of Computational Economics, in: Leigh Tesfatsion & Kenneth L. Judd (ed.), Handbook of Computational Economics, edition 1, volume 2, chapter 23, pages 1109-1186, Elsevier.
    6. Breitmoser, Yves & Tan, Jonathan H.W. & Zizzo, Daniel John, 2014. "On the beliefs off the path: Equilibrium refinement due to quantal response and level-k," Games and Economic Behavior, Elsevier, vol. 86(C), pages 102-125.
    7. Potters, Jan & Suetens, Sigrid, 2020. "Optimization incentives in dilemma games with strategic complementarity," European Economic Review, Elsevier, vol. 127(C).
    8. Song, Yanan & Zhao, Xiaobo, 2016. "Strategic customer behavior facing possible stockout: An experimental study," International Journal of Production Economics, Elsevier, vol. 180(C), pages 57-67.
    9. Filip Matêjka & Alisdair McKay, 2015. "Rational Inattention to Discrete Choices: A New Foundation for the Multinomial Logit Model," American Economic Review, American Economic Association, vol. 105(1), pages 272-298, January.
    10. Kreindler, Gabriel E. & Young, H. Peyton, 2013. "Fast convergence in evolutionary equilibrium selection," Games and Economic Behavior, Elsevier, vol. 80(C), pages 39-67.
    11. Yves Breitmoser, 2021. "Controlling for presentation effects in choice," Quantitative Economics, Econometric Society, vol. 12(1), pages 251-281, January.
    12. Denis Phan, 2006. "Discrete Choices under Social Influence:Generic Properties," Post-Print halshs-00105857, HAL.
    13. Hommes, C.H., 2005. "Heterogeneous Agent Models in Economics and Finance, In: Handbook of Computational Economics II: Agent-Based Computational Economics, edited by Leigh Tesfatsion and Ken Judd , Elsevier, Amsterdam 2006," CeNDEF Working Papers 05-03, Universiteit van Amsterdam, Center for Nonlinear Dynamics in Economics and Finance.
    14. Friedman, Evan, 2020. "Endogenous quantal response equilibrium," Games and Economic Behavior, Elsevier, vol. 124(C), pages 620-643.
    15. Hoppe, Eva I. & Schmitz, Patrick W., 2015. "Do sellers offer menus of contracts to separate buyer types? An experimental test of adverse selection theory," Games and Economic Behavior, Elsevier, vol. 89(C), pages 17-33.
    16. Takashina, Nao & Lee, Joung-Hun & Possingham, Hugh P., 2017. "Effect of marine reserve establishment on non-cooperative fisheries management," Ecological Modelling, Elsevier, vol. 360(C), pages 336-342.
    17. Roy, Jaideep, 2000. "Learning with bounded memory," UC3M Working papers. Economics 7224, Universidad Carlos III de Madrid. Departamento de Economía.
    18. Drew Fudenberg & David K Levine, 2016. "Whither Game Theory?," Levine's Working Paper Archive 786969000000001307, David K. Levine.
    19. Kets, W., 2008. "Networks and learning in game theory," Other publications TiSEM 7713fce1-3131-498c-8c6f-3, Tilburg University, School of Economics and Management.
    20. Blackwell, Calvin & McKee, Michael, 2003. "Only for my own neighborhood?: Preferences and voluntary provision of local and global public goods," Journal of Economic Behavior & Organization, Elsevier, vol. 52(1), pages 115-131, September.

    More about this item

    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:phsmap:v:269:y:1999:i:1:p:9-15. 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.journals.elsevier.com/physica-a-statistical-mechpplications/ .

    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.