Interactive geometry for surplus sharing in cooperative games

The author provides a downloadable program that enables users to interactively generate geometrical depictions of the rules for an unlimited number of three-player games. The program graphically demonstrates how the area of potential cooperation is shrunk to its corresponding core on the basis of th...

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Bibliographic Details
Published inThe Journal of economic education Vol. 37; no. 3; p. 382
Main Authors Caplan, Arthur J, Sasaki, Yuya
Format Journal Article
LanguageEnglish
Published Washington Heldref 01.07.2006
Heldref Publications
Helen Dwight Reid Foundation
Taylor & Francis Inc
SeriesJournal of Economic Education
Subjects
Cooperative games
Economics education
Game theory
Geometrie
Geometry
Graduate Students
Kooperatives Spiel
Mathematical problems
Online
Surplus
Web pages
Web site reviews
Wirtschaftskunde
United States > US
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Summary:The author provides a downloadable program that enables users to interactively generate geometrical depictions of the rules for an unlimited number of three-player games. The program graphically demonstrates how the area of potential cooperation is shrunk to its corresponding core on the basis of the game's characteristic function payoffs; calculates the Shapley value, nucleolus, and per-capita nucleolus surplus-sharing allocations for the game; and graphically depicts the locations of these allocations in the corresponding cores.
ISSN:0022-0485
2152-4068
DOI:10.3200/JECE.37.3.382-382