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Article
Interactive Geometry for Surplus Sharing in Cooperative Games
Journal of Economic Education
  • Arthur J. Caplan, Utah State University
  • Yuya Sasaki
Document Type
Article
Publication Date
1-1-2006
Abstract
This paper presents interactive geometrical depictions of the Shapley value, nucleolus, and per-capita nucleolus surplus-sharing rules for cooperative games with three players. The program graphically demonstrates how the simplexes corresponding to a host of characteristic functions are "shrunk" to their corresponding cores, calculates allocations using the Shapley Value, nucleolus, and per-capita nucleolus surplus-sharing rules, and graphically depicts the locations of these allocations in the corresponding cores.
Citation Information
Caplan, Arthur J., and Yuya Sasaki. "Interactive Geometry for Surplus Sharing in Cooperative Games." Journal of Economic Education, 37(3), 382