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- Unfolding Social Hierarchies In Large Population Games

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Author Info
Fernando Vega Redondo (Instituto Valenciano de Investigaciones Económicas)

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Abstract

Consider a large (continuum) population of finitely-lived agents organized in hierarchical levels.Every period, agents are matched to play a certain symmetric game. On the basis of the payoffsobtained, a certain p-fraction of those who performed best at each level are promoted upwords. Onthe other hand, newcomers replacing those who die every period enter at the lowest level andimitate unbiasedly (but subject to noise) the actions adopted at the highest one. In this context, the (unique) long-run behavior of the system is fully characterized for the wholeclass of 2x2 coordination games. The results crucially depend on the institutional parameter p(which refelcts how hierarchical - or selective - the society is) and on a purely ordinal criterion onthe payoffs of the game. In particular, efficent (or inefficent behaviour) may prevail in the long run -even when risk-dominated - if promotion in society is (or, respectively, is not) selective enough.

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Publisher Info
Paper provided by Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie) in its series Working Papers. Serie AD with number 1997-23.

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Length: 38 pages
Date of creation: Dec 1997
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Publication status: Published by Ivie
Handle: RePEc:ivi:wpasad:1997-23

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Keywords: social hierarchies; large population games;

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References listed on IDEAS
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  1. Vega-Redondo, Fernando, 2000. "Unfolding Social Hierarchies," Journal of Economic Theory, Elsevier, vol. 90(2), pages 177-203, February. [Downloadable!] (restricted)
  2. Fudenberg, D. & Harris, C., 1992. "Evolutionary dynamics with aggregate shocks," Journal of Economic Theory, Elsevier, vol. 57(2), pages 420-441, August. [Downloadable!] (restricted)
    Other versions:
  3. John C. Harsanyi & Reinhard Selten, 1988. "A General Theory of Equilibrium Selection in Games," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262582384.
  4. Karandikar, Rajeeva & Mookherjee, Dilip & Ray, Debraj & Vega-Redondo, Fernando, 1998. "Evolving Aspirations and Cooperation," Journal of Economic Theory, Elsevier, vol. 80(2), pages 292-331, June. [Downloadable!] (restricted)
  5. 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. [Downloadable!] (restricted)
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  6. Ellison, Glenn, 1993. "Learning, Local Interaction, and Coordination," Econometrica, Econometric Society, vol. 61(5), pages 1047-71, September. [Downloadable!] (restricted)
  7. Feldman, Mark & Gilles, Christian, 1985. "An expository note on individual risk without aggregate uncertainty," Journal of Economic Theory, Elsevier, vol. 35(1), pages 26-32, February. [Downloadable!] (restricted)
  8. Judd, Kenneth L., 1985. "The law of large numbers with a continuum of IID random variables," Journal of Economic Theory, Elsevier, vol. 35(1), pages 19-25, February. [Downloadable!] (restricted)
  9. Harold L. Cole & George J. Mailath & Andrew Postlewaite, 1996. "Class systems and the enforcement of social norms," Staff Report 213, Federal Reserve Bank of Minneapolis. [Downloadable!]
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  10. George Mailath & Larry Samuelson & Avner Shaked, 1994. "Evolution and Endogenous Interactions," Game Theory and Information 9410003, EconWPA. [Downloadable!]
  11. Fershtman, Chaim & Murphy, Kevin M & Weiss, Yoram, 1996. "Social Status, Education, and Growth," Journal of Political Economy, University of Chicago Press, vol. 104(1), pages 108-32, February. [Downloadable!] (restricted)
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  12. Young, H Peyton, 1993. "The Evolution of Conventions," Econometrica, Econometric Society, vol. 61(1), pages 57-84, January. [Downloadable!] (restricted)
  13. Samuelson Larry, 1994. "Stochastic Stability in Games with Alternative Best Replies," Journal of Economic Theory, Elsevier, vol. 64(1), pages 35-65, October. [Downloadable!] (restricted)
  14. Cole, Harold L & Mailath, George J & Postlewaite, Andrew, 1992. "Social Norms, Savings Behavior, and Growth," Journal of Political Economy, University of Chicago Press, vol. 100(6), pages 1092-1125, December. [Downloadable!] (restricted)
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