THE CORE AND CONSISTENCY PROPERTIES: A GENERAL CHARACTERISATION-Reference-Cited by-同舟云学术

THE CORE AND CONSISTENCY PROPERTIES: A GENERAL CHARACTERISATION

Published:2001-06 Issue:02n03 Volume:03 Page:175-187
ISSN:0219-1989
Container-title:International Game Theory Review
language:en
Short-container-title:Int. Game Theory Rev.

Author:

FUNAKI YUKIHIKO¹,YAMATO TAKEHIKO²

Affiliation:

1. School of Political Science and Economics, Waseda University, 1-6-1 Nishi-Waseda, Shinjuku-ku, Tokyo 169-8050, Japan

2. Department of Value and Decision Science, Graduation School of Decision Science and Technology, Tokyo Institute of Technology, 2-12-1 Ookayama, Meguro-ku, Tokyo 152-8552, Japan

Abstract

In this paper, we unify various axiomatisations of the core of TU games by means of consistency with respect to different definitions of reduced games. First, we introduce a general definition of reduced games including the reduced games due to Davis and Maschler (1965), Moulin (1985), and Funaki (1995) as special cases. Then, we provide a general theorem from which the characterisations due to Peleg (1986), Tadenuma (1992), and Funaki (1995) can be obtained. Our general theorem clarifies how the three characterisations of the core differ and are related.

Publisher

World Scientific Pub Co Pte Lt

Subject

Statistics, Probability and Uncertainty,Business and International Management,General Computer Science

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219198901000361

Reference11 articles.

1. Cooperative games with coalition structures

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