多选择NTU对策核心的一个非空条件及公理化

doi:10.15960/j.cnki.issn.1007-6093.2015.04.009

Operations Research Transactions ›› 2015, Vol. 19 ›› Issue (4): 97-106.doi: 10.15960/j.cnki.issn.1007-6093.2015.04.009

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A non-empty condition and an axiomatization for the core of multi-choice NTU games

TIAN Haiyan^1,*, ZHANG Gang²

1.Department of Applied Mathematics, Northwestern Polytechnical University, Xi'an 710072, China; 2.College of Mathematics and Information Science, Hebei Normal University, Shijiazhuang 050024, China

Received:2015-02-06 Online:2015-12-15 Published:2015-12-15

Abstract

Abstract:

This paper introduces the concept of \pi-balanced multi-choice NTU games and proves that any \pi-balanced multi-choice NTU game has a non-empty core. The definitions of non-leveled multi-choice NTU games and reduced games are introduced and the concepts of consistency and converse consistency are also given. An axiomatization for the core of non-leveled multi-choice NTU games is provided by using individual rationality, one-person rationality, consistency and converse consistency.

Key words: multi-choice NTU games, cores, \pi-balancedness, consistency

TIAN Haiyan, ZHANG Gang. A non-empty condition and an axiomatization for the core of multi-choice NTU games[J]. Operations Research Transactions, 2015, 19(4): 97-106.

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A non-empty condition and an axiomatization for the core of multi-choice NTU games

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