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运筹学学报 >

2015 , Vol. 19 >Issue 4: 97 - 106

DOI: https://doi.org/10.15960/j.cnki.issn.1007-6093.2015.04.009

运筹学

多选择NTU对策核心的一个非空条件及公理化

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  • 1. 西北工业大学应用数学系, 西安 710072; 2. 河北师范大学数学与信息科学学院, 石家庄 050024

收稿日期: 2015-02-06

  网络出版日期: 2015-12-15

基金资助

 河北省自然科学基金(No. A2014205152)

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

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  • 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 date: 2015-02-06

  Online published: 2015-12-15

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摘要

 提出了\pi-均衡多选择NTU对策的概念,证明了\pi-均衡多选择NTU对策的核心非空, 定义了多选择NTU对策的非水平性质和缩减对策,给出了相容性和逆相容性等概念. 用个体合理性、单人合理性、相容性和逆相容性对非水平多选择NTU对策的核心进行了公理化.

关键词： 多选择NTU对策; 核心; \pi-均衡; 相容性

本文引用格式

田海燕, 张刚 . 多选择NTU对策核心的一个非空条件及公理化[J]. 运筹学学报, 2015 , 19(4) : 97 -106 . DOI: 10.15960/j.cnki.issn.1007-6093.2015.04.009

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

参考文献

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