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Basins of Attraction, Long Run Equilibria, and the Speed of Step-by- Step Evolution

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Author Info

  • Ellison, G.

Abstract

The paper provides a general analysis of the types of models with E-Perturbations which have been used recently to discuss the evolution of social conventions. Two new measures of the size and structure of the basins of attraction of dynamic systems, the radius and coradius, are introduced in order to bound the speed with which evolution occurs. The main theorem uses these measures to provide a characterization useful for determining long run equilibria and rates of convergence.

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Bibliographic Info

Paper provided by Massachusetts Institute of Technology (MIT), Department of Economics in its series Working papers with number 96-4.

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Length: 44 pages
Date of creation: 1996
Date of revision:
Handle: RePEc:mit:worpap:96-4

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Postal: MASSACHUSETTS INSTITUTE OF TECHNOLOGY (MIT), DEPARTMENT OF ECONOMICS, 50 MEMORIAL DRIVE CAMBRIDGE MASSACHUSETTS 02142 USA
Phone: (617) 253-3361
Fax: (617) 253-1330
Web page: http://econ-www.mit.edu/
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Postal: MASSACHUSETTS INSTITUTE OF TECHNOLOGY (MIT), DEPARTMENT OF ECONOMICS, 50 MEMORIAL DRIVE CAMBRIDGE MASSACHUSETTS 02142 USA
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Related research

Keywords: GAMES; GAME THEORY; MATHEMATICS; ECONOMETRICS;

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Cited by:
  1. Matthew O. Jackson & Alison Watts, 2000. "On the Formation of Interaction Networks in Social Coordination Games," Econometric Society World Congress 2000 Contributed Papers 0778, Econometric Society.
  2. Kevin Hasker, 2004. "The Emergent Seed : Simplifying the Analysis of Dynamic Evolution," Departmental Working Papers 0406, Bilkent University, Department of Economics.
  3. Kevin Hasker, 2005. "Note: Using the Emergent Seed to Completely Characterize 'Evolution and Information in a Gift Giving Game'," Levine's Working Paper Archive 784828000000000142, David K. Levine.
  4. Alos-Ferrer, Carlos & Kirchsteiger, Georg & Walzl, Markus, 2006. "On the Evolution of Market Institutions: The Platform Design Paradox," CEPR Discussion Papers 5538, C.E.P.R. Discussion Papers.
  5. Gerard van der Laan & A.F. Tieman, 1996. "Evolutionary Game Theory and the Modelling of Economic Behavior," Tinbergen Institute Discussion Papers 96-172/8, Tinbergen Institute.
  6. Valentina Corradi & Antonella Ianni, . "Ergodicity and Clustering in Opinion Formation," Penn CARESS Working Papers 4e07391e101139fde2f8e70d4, Penn Economics Department.
  7. Alexander F. Tieman & Harold Houba & Gerard van der Laan, 1998. "Cooperation in a Multi-Dimensional Local Interaction Model," Game Theory and Information 9803002, EconWPA.
  8. Tone Dieckmann, 1997. "The Evolution of conventions with Mobile Players," Economics, Finance and Accounting Department Working Paper Series n720897, Department of Economics, Finance and Accounting, National University of Ireland - Maynooth.

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