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Networks Emerging in a Volatile World

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Author Info
George Ehrhardt
Matteo Marsili
Fernando Vega-Redondo

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Abstract

The paper proposes a model to study the conditions under which complex networks emerge (or not) when agents are involved in a dynamic coordination setup. The focus, however, is not on the classical issue of equilibrium selection - instead, our aim is to shed light on how agents' efforts to coordinate a¤ect the process of network formation in a large and complex environment. The model posits that, over time, new links are created if they are pro.table, and existing links disappear due to exogenous decay. Alongside this struggle between link creation and link destruction, agents' choices in the coordination game adapt to their current local conditions and thus coevolve with the social network. The dynamic behavior of the system is studied within di¤erent time scales (the long and ultralong runs), which di¤er in the role accorded to the noise that is induced by finite populations. We characterize analytically the evolution of the modelin each case and show that, depending on the time scale under consideration, the process displays discontinuous transitions in overall connectivity, resilient transformations in network topology, and equilibrium multiplicity. This behavior is akin to that observed concerning various network phenomena where coordination and network formation display mutually reinforcing roles.

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Paper provided by European University Institute in its series Economics Working Papers with number ECO2008/08.

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Date of creation: 2008
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Handle: RePEc:eui:euiwps:eco2008/08

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Find related papers by JEL classification:
C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games
D83 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Search, Learning, and Information
D85 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Network Formation

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  1. Fafchamps, Marcel & Lund, Susan, 2003. "Risk-sharing networks in rural Philippines," Journal of Development Economics, Elsevier, vol. 71(2), pages 261-287, August. [Downloadable!] (restricted)
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  2. Montgomery, James D, 1991. "Social Networks and Labor-Market Outcomes: Toward an Economic Analysis," American Economic Review, American Economic Association, vol. 81(5), pages 1407-18, December.
  3. Goyal, Sanjeev & Vega-Redondo, Fernando, 2005. "Network formation and social coordination," Games and Economic Behavior, Elsevier, vol. 50(2), pages 178-207, February. [Downloadable!] (restricted)
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  4. Antoni Calvo-Armengol & Matthew O. Jackson, 2004. "The Effects of Social Networks on Employment and Inequality," American Economic Review, American Economic Association, vol. 94(3), pages 426-454, June. [Downloadable!] (restricted)
    Other versions:
  5. 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. [Downloadable!] (restricted)
  6. Sanjeev Goyal & Marco J. van der Leij & José Luis Moraga-Gonzalez, 2006. "Economics: An Emerging Small World," Journal of Political Economy, University of Chicago Press, vol. 114(2), pages 403-432, April. [Downloadable!] (restricted)
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  7. Michel BenaÔm & J–rgen W. Weibull, 2003. "Deterministic Approximation of Stochastic Evolution in Games," Econometrica, Econometric Society, vol. 71(3), pages 873-903, 05. [Downloadable!] (restricted)
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  8. Murgai, Rinku & Winters, Paul & Sadoulet, Elisabeth & Janvry, Alain de, 2002. "Localized and incomplete mutual insurance," Journal of Development Economics, Elsevier, vol. 67(2), pages 245-274, April. [Downloadable!] (restricted)
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This page was last updated on 2008-7-1.


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