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Knowledge Creation as a Square Dance on the Hilbert Cube

Author

Listed:
  • Marcus Berliant

    (Washington University in St. Louis)

  • Masahisa Fujita

    (Kyoto University)

Abstract

This paper presents a micro-model of knowledge creation through the interactions among a group of people. Our model incorporates two key aspects of the cooperative process of knowledge creation: (i) heterogeneity of people in their state of knowledge is essential for successful cooperation in the joint creation of new ideas, while (ii) the very process of cooperative knowledge creation affects the heterogeneity of people through the accumulation of knowledge in common. The model features myopic agents in a pure externality model of interaction. Surprisingly, in the general case 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 the heterogeneity of knowledge is more important in the knowledge production process. Equilibrium paths are found analytically, and they are a discontinuous function of initial heterogeneity.

Suggested Citation

  • Marcus Berliant & Masahisa Fujita, 2005. "Knowledge Creation as a Square Dance on the Hilbert Cube," Game Theory and Information 0506006, University Library of Munich, Germany, revised 26 Sep 2005.
  • Handle: RePEc:wpa:wuwpga:0506006
    Note: Type of Document - pdf; pages: 64
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    References listed on IDEAS

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    4. Keely, Louise C., 2003. "Exchanging good ideas," Journal of Economic Theory, Elsevier, vol. 111(2), pages 192-213, August.
    5. Marcus Berliant & Masahisa Fujita, 2009. "Dynamics of knowledge creation and transfer: The two person case," International Journal of Economic Theory, The International Society for Economic Theory, vol. 5(2), pages 155-179.
    6. Berliant, Marcus & Reed III, Robert R. & Wang, Ping, 2006. "Knowledge exchange, matching, and agglomeration," Journal of Urban Economics, Elsevier, vol. 60(1), pages 69-95, July.
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    More about this item

    Keywords

    knowledge creation; knowledge externalities; microfoundations of endogenous growth;

    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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