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A Day at the Beach: Human Agents Self-Organizing on the Sand Pile

Author

Listed:
  • Hiroshi Ishii

    (California Institute of Technology, Pasadena, California 91125, USA)

  • Scott E. Page

    (Department of Economics, University of Iowa, Iowa City, IA 52242, USA)

  • Niniane Wang

    (California Institute of Technology, Pasadena, California 91125, USA)

Abstract

In this paper, we analyze the sand pile model of self-organized criticallity from a social scientific perspective. In the sand pile model, particles of sand land at random locations on a square table and self-organize into a critical state: a conical pile. Thereafter, the size of avalanches satisfies a power law. This empirical fact has led some to claim that self-organizing criticality explains power law distributions that occur in human systems. However, unlike grains of sand, people possess both preferences and the ability to act purposefully given those preferences. We find that by including purposive agents and allowing heterogeneity of purposes, the sand pile need not become critical. We also show that if we allow institutions to moderate actions that we can create any distribution of avalanches.

Suggested Citation

  • Hiroshi Ishii & Scott E. Page & Niniane Wang, 1999. "A Day at the Beach: Human Agents Self-Organizing on the Sand Pile," Advances in Complex Systems (ACS), World Scientific Publishing Co. Pte. Ltd., vol. 2(01), pages 37-63.
    • Handle: RePEc:wsi:acsxxx:v:02:y:1999:i:01:n:s0219525999000047
    DOI: 10.1142/S0219525999000047
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