The Pre-Kernel as a Fair Division Rule for Some Cooperative Game Models

2017 ◽  
pp. 235-266 ◽  
Author(s):  
Holger I. Meinhardt
Keyword(s):  
Cooperative Game ◽  
Fair Division ◽  
Division Rule

A NOTE ON FAIR DIVISION UNDER INTERVAL UNCERTAINTY

2006 ◽  
Vol 14 (06) ◽  
pp. 753-756 ◽  
Author(s):  
GERHARD J. WOEGINGER
Keyword(s):  
Fair Division ◽  
Technical Note ◽  
Interval Uncertainty ◽  
Knowledge Based Systems ◽  
Knowledge Based ◽  
Division Rule

In a recent paper [International Journal of Uncertainty, Fuzziness, and Knowledge-Based Systems 8:611–618], Yager & Kreinovich characterize a certain proportional division rule in terms of the three axioms (1) symmetry, (2) participant mergability, and (3) continuity. This technical note tightens their characterization: The proportional division rule is already fully characterized by the first two axioms (1) symmetry and (2) participant mergability.

scholarly journals COST SHARING IN NETWORKS: SOME OPEN QUESTIONS

2013 ◽  
Vol 15 (02) ◽  
pp. 1340001 ◽  
Author(s):  
HERVÉ MOULIN
Keyword(s):  
Computational Complexity ◽  
Combinatorial Optimization ◽  
Cooperative Game ◽  
Cost Sharing ◽  
Optimization Problems ◽  
Fair Division ◽  
Optimal Solutions ◽  
Combinatorial Optimization Problems ◽  
Open Questions

The fertile application of cooperative game techniques to cost sharing problems on networks has so far concentrated on the Stand Alone core test of fairness and/or stability, and ignored many combinatorial optimization problems where this core can be empty. I submit there is much room for an axiomatic discussion of fair division in the latter problems, where Stand Alone objections are not implementable. But the computational complexity of optimal solutions is still a very severe obstacle to this approach.

The Geometry of Efficient Fair Division

2005 ◽  
Author(s):  
Julius B. Barbanel ◽  
Alan D. Taylor
Keyword(s):  
Fair Division

Non-Cooperative Game Based Research on Routing Schemes for Wireless Networks

2009 ◽  
Vol 32 (1) ◽  
pp. 54-68 ◽  
Author(s):  
Yang WANG ◽  
Chuang LIN ◽  
Quan-Lin LI ◽  
Jing-Qi WANG ◽  
Xin JIANG
Keyword(s):  
Wireless Networks ◽  
Cooperative Game ◽  
Routing Schemes

Fair Division

2000 ◽  
Author(s):  
Michael J. Meurer
Keyword(s):  
Fair Division
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