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The exact solution of spatial logit response games

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  • Konno, Tomohiko
  • Ioannides, Yannis M.

Abstract

This paper proposes a logit response game with a spatial social structure and solves it exactly. We derive closed-form solutions for the strategy choice probabilities, the spatial correlation function of strategies of distant players, and the expected utility. We study how the probability of adopting a cooperative strategy in a prisoner’s dilemma game and the probability of adopting Pareto efficient strategies in a cooperation game are affected by changes in the parameter that expresses payoff-responsiveness.

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  • Konno, Tomohiko & Ioannides, Yannis M., 2019. "The exact solution of spatial logit response games," Mathematical Social Sciences, Elsevier, vol. 97(C), pages 1-10.
    • Handle: RePEc:eee:matsoc:v:97:y:2019:i:c:p:1-10
    DOI: 10.1016/j.mathsocsci.2018.09.003
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    1. Levy, Moshe, 2008. "Stock market crashes as social phase transitions," Journal of Economic Dynamics and Control, Elsevier, vol. 32(1), pages 137-155, January.
    2. William A. Brock & Steven N. Durlauf, 2001. "Discrete Choice with Social Interactions," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 68(2), pages 235-260.
    3. Train,Kenneth E., 2009. "Discrete Choice Methods with Simulation," Cambridge Books, Cambridge University Press, number 9780521766555, September.
    4. Katarzyna Sznajd-Weron & Józef Sznajd, 2000. "Opinion Evolution In Closed Community," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 11(06), pages 1157-1165.
    5. Blume Lawrence E., 1993. "The Statistical Mechanics of Strategic Interaction," Games and Economic Behavior, Elsevier, vol. 5(3), pages 387-424, July.
    6. Yannis Ioannides, 2006. "Topologies of social interactions," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 28(3), pages 559-584, August.
    7. Chang, Sheng-Kai, 2007. "A simple asset pricing model with social interactions and heterogeneous beliefs," Journal of Economic Dynamics and Control, Elsevier, vol. 31(4), pages 1300-1325, April.
    8. Giulio Zanella, 2007. "Discrete Choice with Social Interactions and Endogenous Memberships," Journal of the European Economic Association, MIT Press, vol. 5(1), pages 122-153, March.
    9. Lux, Thomas, 1995. "Herd Behaviour, Bubbles and Crashes," Economic Journal, Royal Economic Society, vol. 105(431), pages 881-896, July.
    10. J. V. Henderson & J. F. Thisse (ed.), 2004. "Handbook of Regional and Urban Economics," Handbook of Regional and Urban Economics, Elsevier, edition 1, volume 4, number 4.
    11. Lux, Thomas, 1997. "Time variation of second moments from a noise trader/infection model," Journal of Economic Dynamics and Control, Elsevier, vol. 22(1), pages 1-38, November.
    12. Durlauf, Steven N., 2004. "Neighborhood effects," Handbook of Regional and Urban Economics, in: J. V. Henderson & J. F. Thisse (ed.), Handbook of Regional and Urban Economics, edition 1, volume 4, chapter 50, pages 2173-2242, Elsevier.
    13. Hautsch, Nikolaus & Klotz, Stefan, 2003. "Estimating the neighborhood influence on decision makers: theory and an application on the analysis of innovation decisions," Journal of Economic Behavior & Organization, Elsevier, vol. 52(1), pages 97-113, September.
    14. Follmer, Hans, 1974. "Random economies with many interacting agents," Journal of Mathematical Economics, Elsevier, vol. 1(1), pages 51-62, March.
    15. Bayer, Patrick & Timmins, Christopher, 2005. "On the equilibrium properties of locational sorting models," Journal of Urban Economics, Elsevier, vol. 57(3), pages 462-477, May.
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    1. Ahmad, Munir & Wu, Yiyun, 2022. "Household-based factors affecting uptake of biogas plants in Bangladesh: Implications for sustainable development," Renewable Energy, Elsevier, vol. 194(C), pages 858-867.

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    More about this item

    JEL classification:

    • R00 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - General - - - General
    • R30 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - Real Estate Markets, Spatial Production Analysis, and Firm Location - - - General
    • R32 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - Real Estate Markets, Spatial Production Analysis, and Firm Location - - - Other Spatial Production and Pricing Analysis
    • R39 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - Real Estate Markets, Spatial Production Analysis, and Firm Location - - - Other
    • D21 - Microeconomics - - Production and Organizations - - - Firm Behavior: Theory

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