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Knowledge creation as a square dance on the Hilbert cube

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  • Berliant, Marcus
  • Fujita, Masahisa

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

  • Berliant, Marcus & Fujita, Masahisa, 2007. "Knowledge creation as a square dance on the Hilbert cube," MPRA Paper 2884, University Library of Munich, Germany.
    • Handle: RePEc:pra:mprapa:2884
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    References listed on IDEAS

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    1. Romer, Paul M, 1986. "Increasing Returns and Long-run Growth," Journal of Political Economy, University of Chicago Press, vol. 94(5), pages 1002-1037, October.
    2. Ajay Agrawal & Iain Cockburn & John McHale, 2003. "Gone But Not Forgotten: Labor Flows, Knowledge Spillovers, and Enduring Social Capital," NBER Working Papers 9950, National Bureau of Economic Research, Inc.
    3. Boyan Jovanovic & Rafael Rob, 1989. "The Growth and Diffusion of Knowledge," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 56(4), pages 569-582.
    4. Hildenbrand, W. & Kirman, A. P., 1976. "Introduction to Equilibrium Analysis," Elsevier Monographs, Elsevier, edition 1, number 9780720436068 edited by Bliss, C. J. & Intriligator, M. D..
    5. Masahisa Fujita & Shlomo Weber, 2003. "Strategic Immigration Policies and Welfare in Heterogeneous Countries," KIER Working Papers 569, Kyoto University, Institute of Economic Research.
    6. Masahiko Aoki, 2013. "The Contingent Governance Of Teams: Analysis Of Institutional Complementarity," Chapters, in: Comparative Institutional Analysis, chapter 14, pages 230-249, Edward Elgar Publishing.
    7. Auerswald, Philip & Kauffman, Stuart & Lobo, Jose & Shell, Karl, 2000. "The production recipes approach to modeling technological innovation: An application to learning by doing," Journal of Economic Dynamics and Control, Elsevier, vol. 24(3), pages 389-450, March.
    8. 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, June.
    9. 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.
    10. Bengt Holmstrom, 1982. "Moral Hazard in Teams," Bell Journal of Economics, The RAND Corporation, vol. 13(2), pages 324-340, Autumn.
    11. Gilles Duranton & Diego Puga, 2001. "Nursery Cities: Urban Diversity, Process Innovation, and the Life Cycle of Products," American Economic Review, American Economic Association, vol. 91(5), pages 1454-1477, December.
    12. Keely, Louise C., 2003. "Exchanging good ideas," Journal of Economic Theory, Elsevier, vol. 111(2), pages 192-213, August.
    13. Boldrin,Michele & Levine,David K., 2010. "Against Intellectual Monopoly," Cambridge Books, Cambridge University Press, number 9780521127264, January.
    14. Romer, Paul M, 1990. "Endogenous Technological Change," Journal of Political Economy, University of Chicago Press, vol. 98(5), pages 71-102, October.
    15. Helsley, Robert W. & Strange, William C., 2004. "Knowledge barter in cities," Journal of Urban Economics, Elsevier, vol. 56(2), pages 327-345, September.
    16. Fujita,Masahisa & Thisse,Jacques-François, 2013. "Economics of Agglomeration," Cambridge Books, Cambridge University Press, number 9781107001411, January.
    17. Larry E. Jones & Rodolfo Manuelli, 1990. "A Convex Model of Equilibrium Growth," NBER Working Papers 3241, National Bureau of Economic Research, Inc.
    18. Jones, Larry E & Manuelli, Rodolfo E, 1990. "A Convex Model of Equilibrium Growth: Theory and Policy Implications," Journal of Political Economy, University of Chicago Press, vol. 98(5), pages 1008-1038, October.
    19. Lucas, Robert Jr., 1988. "On the mechanics of economic development," Journal of Monetary Economics, Elsevier, vol. 22(1), pages 3-42, July.
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    Keywords

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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

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