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Social interactions and complex networks

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  • Opolot, Daniel

    (UNU-MERIT, University of Maastricht,)

Abstract

This paper studies the impact of interaction topologies on individual and aggregate behavior in environments with social interactions. We study social interaction games of an infnitely large population with local and global externalities. Local externalities are limited within agents' ego-networks while the global externality is derived from aggregate distribution in a feedback manner. We consider two forms of heterogeneity, that due to individual intrinsic tastes and that due to ego-networks. The agents know the potential number of other agents they will interact with but do not posses complete information about their neighbors' types and strategies so they base their decisions on expectations and beliefs. We characterize the existence, uniqueness and multiplicity of equilibrium distribution of strategies. By considering arbitrary interaction topologies, we show that the interaction structure greatly determines the uniqueness and multiplicity of equilibrium outcomes, as well as the equilibrium aggregate distribution of strategies as measured by the mean strategy.

Suggested Citation

  • Opolot, Daniel, 2012. "Social interactions and complex networks," MERIT Working Papers 2012-014, United Nations University - Maastricht Economic and Social Research Institute on Innovation and Technology (MERIT).
    • Handle: RePEc:unm:unumer:2012014
    as

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    File URL: https://unu-merit.nl/publications/wppdf/2012/wp2012-014.pdf
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    References listed on IDEAS

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    1. McFadden, Daniel L., 1984. "Econometric analysis of qualitative response models," Handbook of Econometrics, in: Z. Griliches† & M. D. Intriligator (ed.), Handbook of Econometrics, edition 1, volume 2, chapter 24, pages 1395-1457, Elsevier.
    2. Horst, Ulrich & Scheinkman, Jose A., 2006. "Equilibria in systems of social interactions," Journal of Economic Theory, Elsevier, vol. 130(1), pages 44-77, September.
    3. Andrea Galeotti & Fernando Vega‐Redondo, 2011. "Complex networks and local externalities: A strategic approach," International Journal of Economic Theory, The International Society for Economic Theory, vol. 7(1), pages 77-92, March.
    4. Venkatesh Bala & Sanjeev Goyal, 1998. "Learning from Neighbours," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 65(3), pages 595-621.
    5. Daron Acemoglu & Munther A. Dahleh & Ilan Lobel & Asuman Ozdaglar, 2011. "Bayesian Learning in Social Networks," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 78(4), pages 1201-1236.
    6. 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.
    7. Vega-Redondo,Fernando, 2007. "Complex Social Networks," Cambridge Books, Cambridge University Press, number 9780521674096, October.
    8. Casey B. Mulligan, 1998. "Pecuniary Incentives to Work in the United States during World War II," Journal of Political Economy, University of Chicago Press, vol. 106(5), pages 1033-1077, October.
    9. Steven N. Durlauf, 1996. "Statistical Mechanics Approaches to Socioeconomic Behavior," NBER Technical Working Papers 0203, National Bureau of Economic Research, Inc.
    10. Blume Lawrence E., 1993. "The Statistical Mechanics of Strategic Interaction," Games and Economic Behavior, Elsevier, vol. 5(3), pages 387-424, July.
    11. Giorgio Topa, 2001. "Social Interactions, Local Spillovers and Unemployment," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 68(2), pages 261-295.
    12. Jones, Andrew M., 1994. "Health, addiction, social interaction and the decision to quit smoking," Journal of Health Economics, Elsevier, vol. 13(1), pages 93-110, March.
    13. George A. Akerlof & Janet L. Yellen & Michael L. Katz, 1996. "An Analysis of Out-of-Wedlock Childbearing in the United States," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 111(2), pages 277-317.
    14. William A. Brock & Steven N. Durlauf, 1999. "A formal model of theory choice in science," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 14(1), pages 113-130.
    15. Young, H Peyton, 1993. "The Evolution of Conventions," Econometrica, Econometric Society, vol. 61(1), pages 57-84, January.
    16. Andrea Galeotti & Sanjeev Goyal & Matthew O. Jackson & Fernando Vega-Redondo & Leeat Yariv, 2010. "Network Games," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 77(1), pages 218-244.
    17. Ellison, Glenn, 1993. "Learning, Local Interaction, and Coordination," Econometrica, Econometric Society, vol. 61(5), pages 1047-1071, September.
    18. Vega-Redondo,Fernando, 2007. "Complex Social Networks," Cambridge Books, Cambridge University Press, number 9780521857406, October.
    19. Cowan, Robin & Cowan, William, 1998. "Technological Standardization with and without Borders in an Interacting Agents Model," Research Memorandum 015, Maastricht University, Maastricht Economic Research Institute on Innovation and Technology (MERIT).
    20. Bramoulle, Yann & Kranton, Rachel, 2007. "Public goods in networks," Journal of Economic Theory, Elsevier, vol. 135(1), pages 478-494, July.
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    More about this item

    Keywords

    Complex networks; Partial information; Local externality; Global externality; Adoption;
    All these keywords.

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design
    • D84 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Expectations; Speculations
    • O33 - Economic Development, Innovation, Technological Change, and Growth - - Innovation; Research and Development; Technological Change; Intellectual Property Rights - - - Technological Change: Choices and Consequences; Diffusion Processes

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