IDEAS home Printed from https://ideas.repec.org/a/jmi/articl/jmi-v2i1a5.html
   My bibliography  Save this article

Heterogeneity in preferences and behavior in threshold models

Author

Listed:
  • Philip R Neary

    (Royal Holloway University of London, UK)

  • Jonathan Newton

Abstract

A coordination game is repeatedly played on a graph by players (vertices) who have heterogeneous cardinal preferences and whose strategy choice is governed by the individualistic asynchronous logit dynamic. The idea of potential driven autonomy of sets of players is used to derive results on the possibility of heterogeneous preferences leading to heterogeneous behavior. In particular, a class of graphs is identified such that for large enough graphs in this class, diversity in ordinal preferences will nearly always lead to heterogeneity in behavior, regardless of the cardinal strength of the preferences. These results have implications for network design problems, such as when a social planner wishes to induce homogeneous/heterogeneous behavior in a population.

Suggested Citation

  • Philip R Neary & Jonathan Newton, 2017. "Heterogeneity in preferences and behavior in threshold models," The Journal of Mechanism and Institution Design, Society for the Promotion of Mechanism and Institution Design, University of York, vol. 2(1), pages 141-159, December.
  • Handle: RePEc:jmi:articl:jmi-v2i1a5
    DOI: 10.22574/jmid.2017.12.005
    as

    Download full text from publisher

    File URL: http://www.mechanism-design.org/arch/v002-1/p_05.pdf
    Download Restriction: no

    File URL: https://libkey.io/10.22574/jmid.2017.12.005?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
    ---><---

    References listed on IDEAS

    as
    1. Peyton Young, H. & Foster, Dean, 1991. "Cooperation in the long-run," Games and Economic Behavior, Elsevier, vol. 3(1), pages 145-156, February.
    2. Glenn Ellison, 2000. "Basins of Attraction, Long-Run Stochastic Stability, and the Speed of Step-by-Step Evolution," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 67(1), pages 17-45.
    3. Peski, Marcin, 2010. "Generalized risk-dominance and asymmetric dynamics," Journal of Economic Theory, Elsevier, vol. 145(1), pages 216-248, January.
    4. Newton, Jonathan & Angus, Simon D., 2015. "Coalitions, tipping points and the speed of evolution," Journal of Economic Theory, Elsevier, vol. 157(C), pages 172-187.
    5. Blume Lawrence E., 1993. "The Statistical Mechanics of Strategic Interaction," Games and Economic Behavior, Elsevier, vol. 5(3), pages 387-424, July.
    6. Young, H Peyton, 1993. "The Evolution of Conventions," Econometrica, Econometric Society, vol. 61(1), pages 57-84, January.
    7. Neary, Philip R., 2012. "Competing conventions," Games and Economic Behavior, Elsevier, vol. 76(1), pages 301-328.
    8. Kandori, Michihiro & Mailath, George J & Rob, Rafael, 1993. "Learning, Mutation, and Long Run Equilibria in Games," Econometrica, Econometric Society, vol. 61(1), pages 29-56, January.
    9. Staudigl, Mathias, 2012. "Stochastic stability in asymmetric binary choice coordination games," Games and Economic Behavior, Elsevier, vol. 75(1), pages 372-401.
    10. Monderer, Dov & Shapley, Lloyd S., 1996. "Potential Games," Games and Economic Behavior, Elsevier, vol. 14(1), pages 124-143, May.
    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. Sawa, Ryoji & Wu, Jiabin, 2023. "Statistical inference in evolutionary dynamics," Games and Economic Behavior, Elsevier, vol. 137(C), pages 294-316.
    2. Heller, Yuval & Kuzmics, Christoph, 2020. "Communication, Renegotiation and Coordination with Private Values (Extended Version)," MPRA Paper 102926, University Library of Munich, Germany, revised 26 Jul 2021.
    3. Heller, Yuval & Kuzmics, Christoph, 2024. "Communication, renegotiation and coordination with private values," Games and Economic Behavior, Elsevier, vol. 143(C), pages 51-76.
    4. Jiabin Wu, 2019. "Social connections and cultural heterogeneity," Journal of Evolutionary Economics, Springer, vol. 29(2), pages 779-798, April.
    5. Bilancini, Ennio & Boncinelli, Leonardo & Nax, Heinrich H., 2021. "What noise matters? Experimental evidence for stochastic deviations in social norms," Journal of Behavioral and Experimental Economics (formerly The Journal of Socio-Economics), Elsevier, vol. 90(C).
    6. Roberto Rozzi, 2021. "Competing Conventions with Costly Information Acquisition," Games, MDPI, vol. 12(3), pages 1-29, June.
    7. Jonathan Newton, 2018. "Evolutionary Game Theory: A Renaissance," Games, MDPI, vol. 9(2), pages 1-67, May.
    8. John Lynham & Philip R. Neary, 2024. "Tiebout sorting in online communities," The Annals of Regional Science, Springer;Western Regional Science Association, vol. 73(3), pages 1149-1174, October.
    9. Naono, Miharu, 2022. "Cost heterogeneity and the persistence of bilingualism," Games and Economic Behavior, Elsevier, vol. 136(C), pages 325-339.
    10. Argyrios Deligkas & Eduard Eiben & Gregory Gutin & Philip R. Neary & Anders Yeo, 2023. "Some coordination problems are harder than others," Papers 2311.03195, arXiv.org, revised Nov 2023.

    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. Sawa, Ryoji & Wu, Jiabin, 2018. "Reference-dependent preferences, super-dominance and stochastic stability," Journal of Mathematical Economics, Elsevier, vol. 78(C), pages 96-104.
    2. Sung-Ha Hwang & Jonathan Newton, 2017. "Payoff-dependent dynamics and coordination games," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 64(3), pages 589-604, October.
    3. Sawa, Ryoji & Wu, Jiabin, 2018. "Prospect dynamics and loss dominance," Games and Economic Behavior, Elsevier, vol. 112(C), pages 98-124.
    4. Jonathan Newton, 2018. "Evolutionary Game Theory: A Renaissance," Games, MDPI, vol. 9(2), pages 1-67, May.
    5. Sawa, Ryoji, 2021. "A stochastic stability analysis with observation errors in normal form games," Games and Economic Behavior, Elsevier, vol. 129(C), pages 570-589.
    6. Carlos Alós-Ferrer & Nick Netzer, 2015. "Robust stochastic stability," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 58(1), pages 31-57, January.
    7. Sawa, Ryoji & Wu, Jiabin, 2023. "Statistical inference in evolutionary dynamics," Games and Economic Behavior, Elsevier, vol. 137(C), pages 294-316.
    8. Kevin Hasker, 2014. "The Emergent Seed: A Representation Theorem for Models of Stochastic Evolution and two formulas for Waiting Time," Levine's Working Paper Archive 786969000000000954, David K. Levine.
    9. Daniel Christopher Opolot, 2022. "On the relationship between p-dominance and stochastic stability in network games," International Journal of Game Theory, Springer;Game Theory Society, vol. 51(2), pages 307-351, June.
    10. Ennio Bilancini & Leonardo Boncinelli, 2018. "Social coordination with locally observable types," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 65(4), pages 975-1009, June.
    11. Ennio Bilancini & Leonardo Boncinelli, 2015. "Social coordination with locally observable types," Department of Economics 0051, University of Modena and Reggio E., Faculty of Economics "Marco Biagi".
    12. Hwang, Sung-Ha & Rey-Bellet, Luc, 2021. "Positive feedback in coordination games: Stochastic evolutionary dynamics and the logit choice rule," Games and Economic Behavior, Elsevier, vol. 126(C), pages 355-373.
    13. Newton, Jonathan & Angus, Simon D., 2015. "Coalitions, tipping points and the speed of evolution," Journal of Economic Theory, Elsevier, vol. 157(C), pages 172-187.
    14. Sandholm, William H., 2007. "Pigouvian pricing and stochastic evolutionary implementation," Journal of Economic Theory, Elsevier, vol. 132(1), pages 367-382, January.
    15. Lim, Wooyoung & Neary, Philip R., 2016. "An experimental investigation of stochastic adjustment dynamics," Games and Economic Behavior, Elsevier, vol. 100(C), pages 208-219.
    16. Hellmann, Tim & Staudigl, Mathias, 2014. "Evolution of social networks," European Journal of Operational Research, Elsevier, vol. 234(3), pages 583-596.
    17. Jean-Paul Carvalho, 2017. "Coordination and culture," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 64(3), pages 449-475, October.
    18. Okada, Daijiro & Tercieux, Olivier, 2012. "Log-linear dynamics and local potential," Journal of Economic Theory, Elsevier, vol. 147(3), pages 1140-1164.
    19. Bilancini, Ennio & Boncinelli, Leonardo, 2022. "The evolution of conventions in the presence of social competition," Games and Economic Behavior, Elsevier, vol. 133(C), pages 50-57.
    20. Sanjeev Goyal & Penélope Hernández & Guillem Martínez-Cánovas & Frédéric Moisan & Manuel Muñoz-Herrera & Angel Sánchez, 2021. "Integration and diversity," Experimental Economics, Springer;Economic Science Association, vol. 24(2), pages 387-413, June.
      • Goyal, S. & Hernández, P. & Muñnez-Cánovasz, G. & Moisan, F. & Muñoz-Herrera, M. & Sánchez, A., 2017. "Integration and Diversity," Cambridge Working Papers in Economics 1721, Faculty of Economics, University of Cambridge.
      • Sanjeev Goyal & Penelope Hernandez & Guillem Martinez-Canovas & Frederic Moisan & Manuel Munoz-Herrera & Angel Sanchez, 2019. "Integration and Diversity," Working Papers 20190025, New York University Abu Dhabi, Department of Social Science, revised Sep 2020.
      • Sanjeev Goyal & Penélope Hernández & Guillem Martínez-Cánovas & Frederic Moisan & Manuel Muñoz-Herrera & Angel Sánchez, 2021. "Integration and Diversity," Post-Print hal-03188210, HAL.
      • Sanjeev Goyal & Pénélope Hernández & Guillem Martínez-Cánovas & Frédéric Moisan & Manuel Muñoz-Herrera & Ángel Sánchez, 2021. "Integration and diversity," Post-Print halshs-03051962, HAL.

    More about this item

    Keywords

    Heterogeneity; potential; networks.;
    All these keywords.

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games
    • D02 - Microeconomics - - General - - - Institutions: Design, Formation, Operations, and Impact

    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:jmi:articl:jmi-v2i1a5. 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: Paul Schweinzer (email available below). General contact details of provider: https://edirc.repec.org/data/deyoruk.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.