Interactive Geometry for Surplus Sharing in Cooperative Learning


Publication: Journal of Economic Education

Volume: Volume 37, Number 3

Issue: Summer 2006

Pages: 382

Author(s): Arthur J. Caplan and Yuya Sasaki

Address (Principal Author):
Arthur J. Caplan  

Department of Economics

Utah State University

Logan, Utah 84322-3530

Phone: 435-797-0755

Fax: 435-797-2701

Internet Address (Principal Author): acaplan@econ.usu.edu

Title: Interactive Geometry for Surplus Sharing in Cooperative Learning

URL: http://www.econ.usu.edu/acaplan/tugames_main.html

Abstract: A downloadable program is provided that enables users to interactively generate geometrical depictions of the rules for an unlimited number of three-player games.  In particular, the program (1) graphically demonstrates how the area of potential cooperation is shrunk to its corresponding core based on the game's characteristic function payoffs, (2) calculates the Shapley value, nucleolus, and per-capita nucleolus surplus-sharing allocations for the game, and (3) graphically depicts the locations of these allocations in the corresponding cores.


 

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