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Knowledge Creation As A Square Dance On The Hilbert Cube

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Listed:
  • Marcus Berliant
  • Masahisa Fujita

Abstract

This article presents a micromodel of knowledge creation through the interactions among a group of people. The model features myopic agents in a pure externality model of interaction. Surprisingly, for a large set of initial conditions we find that the equilibrium process of knowledge creation converges to the most productive state, where the population splits into smaller groups of optimal size; close interaction takes place within each group only. This optimal size is larger as heterogeneity of knowledge is more important in the knowledge production process. Equilibrium paths are found analytically; they are a discontinuous function of initial heterogeneity. Copyright © (2008) by the Economics Department of the University of Pennsylvania and the Osaka University Institute of Social and Economic Research Association.

Suggested Citation

  • Marcus Berliant & Masahisa Fujita, 2008. "Knowledge Creation As A Square Dance On The Hilbert Cube," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 49(4), pages 1251-1295, November.
    • Handle: RePEc:ier:iecrev:v:49:y:2008:i:4:p:1251-1295
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    JEL classification:

    • D83 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Search; Learning; Information and Knowledge; Communication; Belief; Unawareness
    • O31 - Economic Development, Innovation, Technological Change, and Growth - - Innovation; Research and Development; Technological Change; Intellectual Property Rights - - - Innovation and Invention: Processes and Incentives
    • R11 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - General Regional Economics - - - Regional Economic Activity: Growth, Development, Environmental Issues, and Changes

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