Contagion and the Emergence of Convention in Small Worlds

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Contagion and the Emergence of Convention in Small Worlds

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Edward Cartwright ()

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Edward John Cartwright

Abstract

We model a simple dynamic process in which boundedly rational agents learn through their interactions with others. Of interest is to study the process of contagion where by one action 'spreads throughout the population' and becomes conventional. We vary the network of player interaction between a regular lattice and a random network allowing us to model contagion in small world networks. Through simulation results we highlight the importance of network structure on both the possibility of contagion and the rate of contagion.

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Paper provided by Department of Economics, University of Kent in its series Studies in Economics with number 0414.

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Date of creation: Oct 2004
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Handle: RePEc:ukc:ukcedp:0414

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Postal: Department of Economics, University of Kent at Canterbury, Canterbury, Kent, CT2 7NP
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Find related papers by JEL classification:
C70 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - General
C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
C62 - Mathematical and Quantitative Methods - - Mathematical Methods and Programming - - - Existence and Stability Conditions of Equilibrium

This paper has been announced in the following NEP Reports:

NEP-ALL-2004-11-22 (All new papers)

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Lawrence Blume, 1993. "The Statistical Mechanics of Best-Response Strategy Revision," Game Theory and Information 9307001, EconWPA, revised 26 Jan 1994. [Downloadable!]
Other versions:
- Blume Lawrence E., 1995. "The Statistical Mechanics of Best-Response Strategy Revision," Games and Economic Behavior, Elsevier, vol. 11(2), pages 111-145, November. [Downloadable!] (restricted)
Ellison, Glenn, 1993. "Learning, Local Interaction, and Coordination," Econometrica, Econometric Society, vol. 61(5), pages 1047-71, September. [Downloadable!] (restricted)
Edward Cartwright, 2002. "Learning to play approximate Nash equilibria in games with many players," Levine's Working Paper Archive 506439000000000070, David K. Levine. [Downloadable!]
Other versions:
- Cartwright, Edward, 2003. "Learning To Play Approximate Nash Equilibria In Games With Many Players," The Warwick Economics Research Paper Series (TWERPS) 671, University of Warwick, Department of Economics. [Downloadable!]
- Edward Cartwright, 2004. "Learning to Play Approximate Nash Equilibria in Games with Many Players," Working Papers 2004.85, Fondazione Eni Enrico Mattei. [Downloadable!]
Fudenberg, Drew & Levine, David, 1998. "Learning in games," European Economic Review, Elsevier, vol. 42(3-5), pages 631-639, May. [Downloadable!] (restricted)
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)
Other versions:
- Kandori, M. & Mailath, G.J., 1991. "Learning, Mutation, And Long Run Equilibria In Games," Papers 71, Princeton, Woodrow Wilson School - John M. Olin Program.
Blume Lawrence E., 1993. "The Statistical Mechanics of Strategic Interaction," Games and Economic Behavior, Elsevier, vol. 5(3), pages 387-424, July. [Downloadable!] (restricted)
repec:att:wimass:199324 is not listed on IDEAS
Young, H Peyton, 1993. "The Evolution of Conventions," Econometrica, Econometric Society, vol. 61(1), pages 57-84, January. [Downloadable!] (restricted)

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