Theory and Decision 53 (4):327-342 (2002)

Abstract
Digraph games are cooperative TU-games associated to domination structures which can be modeled by directed graphs. Examples come from sports competitions or from simple majority win digraphs corresponding to preference profiles in social choice theory. The Shapley value, core, marginal vectors and selectope vectors of digraph games are characterized in terms of so-called simple score vectors. A general characterization of the class of TU-games where each selectope vector is a marginal vector is provided in terms of game semi-circuits. Finally, applications to the ranking of teams in sports competitions and of alternatives in social choice theory are discussed.
Keywords Economics / Management Science   Economics/Management Science, general   Operation Research/Decision Theory   Methodology of the Social Sciences
Categories (categorize this paper)
ISBN(s)
DOI 10.1023/A:1024162419357
Options
Edit this record
Mark as duplicate
Export citation
Find it on Scholar
Request removal from index
Revision history

Download options

PhilArchive copy


Upload a copy of this paper     Check publisher's policy     Papers currently archived: 64,209
External links

Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
Through your library

References found in this work BETA

No references found.

Add more references

Citations of this work BETA

Add more citations

Similar books and articles

Digraph Competitions and Cooperative Games.René van Den Brink & Peter Borm - 2002 - Theory and Decision 53 (4):327-342.
Coordination and Cooperation.Maarten C. W. Janssen - 2003 - Behavioral and Brain Sciences 26 (2):165-166.
Principles of Stakes Fairness in Sport.Alexander Brown - 2015 - Politics, Philosophy and Economics 14 (2):152-186.
A Unified Approach to Restricted Games.E. Algaba, J. M. Bilbao & J. J. López - 2001 - Theory and Decision 50 (4):333-345.

Analytics

Added to PP index
2014-03-24

Total views
5 ( #1,177,887 of 2,455,385 )

Recent downloads (6 months)
1 ( #449,037 of 2,455,385 )

How can I increase my downloads?

Downloads

My notes