Interactive Geometry for Surplus Sharing in Cooperative GamesJournal of Economic Education
AbstractThis 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 InformationCaplan, Arthur J., and Yuya Sasaki. "Interactive Geometry for Surplus Sharing in Cooperative Games." Journal of Economic Education, 37(3), 382