Document Type
Article
Journal/Book Title/Conference
Economics Research Institute Study Paper
Volume
13
Publisher
Utah State University Department of Economics
Publication Date
2005
Rights
Copyright for this work is held by the author. Transmission or reproduction of materials protected by copyright beyond that allowed by fair use requires the written permission of the copyright owners. Works not in the public domain cannot be commercially exploited without permission of the copyright owner. Responsibility for any use rests exclusively with the user. For more information contact the Institutional Repository Librarian at digitalcommons@usu.edu.
First Page
1
Last Page
18
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.
Recommended Citation
Caplan, Arthur J. and Sasaki, Yuya, "Interactive Geometry for Surplus Sharing in Cooperative Games" (2005). Economic Research Institute Study Papers. Paper 310.
https://digitalcommons.usu.edu/eri/310