Fuzzy Coalitions and Solutions of Cooperative Games: Beyond the Market Solutions

模糊联盟与合作博弈的解决方案：超越市场解决方案

• 批准号: 23530230
• 负责人: SAGARA Nobusumi
• 金额: $ 3.24万
• 依托单位: Hosei University
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for Scientific Research (C)
• 财政年份: 2011
• 资助国家: 日本
• 起止时间: 2011 至 2013
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-23530230/
• 关键词: ファジイ提携; ファジイ・コア配分; 競争均衡配分; 支持価格; 交換経済; 非同質的分割可能財; 精緻ゲーム; ファジィ提携; ファジィ・コア配分; 協力ゲーム; コア配分; 市場メカニズム

In traditional market games, coalitional payoffs are allocated to each player contingent upon the agreement that players contribute every initial endowment to the coalitions they are participating. On the contrary, in fuzzy market games, players do not necessarily have to contribute every initial endowment to the coalitions and they are free to decide their degree of commitment by contributing partially their initial endowment to the coalitions. It is well known in the literature that in economies with homogeneous divisible commodities fuzzy core allocations coincide with competitive equilibrium allocations. Without fuzzy coalitions, in general there is a core allocation that cannot be realized through the market mechanism. Nevertheless, in this research, I demonstrated that fuzzy core allocations can be attained by the market mechanism.

在传统的市场博弈中，联盟收益分配给每个参与者，取决于参与者向他们参与的联盟贡献所有初始禀赋的协议。相反，在模糊市场博弈中，参与者不必向联盟贡献所有初始禀赋，他们可以通过向联盟贡献部分初始禀赋来自由决定自己的承诺程度。众所周知，在具有同质可分商品的经济中，模糊核心分配与竞争均衡分配是一致的。如果没有模糊联盟，一般会有一个无法通过市场机制实现的核心配置。然而，在本研究中，我证明了市场机制可以实现模糊核心配置。

项目成果

General equilibrium theory with goods and bads : A sixty-year old retrospective

有好有坏的一般均衡理论：六十年的回顾

• 发表时间: 2013
• 作者: Robert Veszteg;Joana Pais and Agnes Pinter;清水崇;橋本努;Robert Veszteg and Noemi Navarro;Nobusumi Sagara;Takashi Shimizu;橋本努;Yukihiko Funaki;橋本努;M. Ali Khan
• 通讯作者: M. Ali Khan

Fair division problems with nonadditive evaluations : Existence of solutions and representation of preference orderings

非相加评估的公平分配问题：解的存在性和偏好顺序的表示

• 发表时间: 2011
• 期刊: In : J. Varela and S. Acuña (eds.), Handbook of Optimization Theory : Decision Analysis and Application, Nova Science Publishers, Hauppauge
• 作者: Rene van den Brink;Yukihiko Funaki;Yuan Ju;Toshiji Miyakawa;Nobusumi Sagara
• 通讯作者: Nobusumi Sagara

The bang-bang and purification principles in infinite-dimensional spaces : Additional characterizations of saturation property

无限维空间中的爆炸和净化原理：饱和特性的附加表征

• 发表时间: 2014
• 作者: E. Fukuda;Y. Kamijo;A. Takeuchi;M. Masui;and Yukihiko Funaki;宮川 敏治;Nobusumi Sagara;Nobusumi Sagara;Nobusumi Sagara
• 通讯作者: Nobusumi Sagara

Concave measures and the fuzzy core of exchange economies with heterogeneous divisible commodities

• DOI: 10.1016/j.fss.2011.12.021
• 发表时间: 2011-08
• 期刊: Fuzzy Sets Syst.
• 作者: F. Hüsseinov;Nobusumi Sagara

A Probabilistic Characterization of Exact Games on σ-Algebras

σ-代数上精确博弈的概率表征

• DOI: 10.1016/j.fss.2012.04.008
• 发表时间: 2013
• 期刊: Fuzzy Sets and Systems
• 影响因子: 3.9
• 作者: Robert Veszteg;Yukihiko Funaki and Aiji Tanaka;Nobusumi Sagara
• 通讯作者: Nobusumi Sagara