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特性関数を考慮した4人協力ゲーム
https://oiu.repo.nii.ac.jp/records/556
https://oiu.repo.nii.ac.jp/records/55679b46a08-ad42-45ae-8979-3deedd5b2d3a
名前 / ファイル | ライセンス | アクション |
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28-1-023 (408.7 kB)
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Item type | 紀要論文(ELS) / Departmental Bulletin Paper_02(1) | |||||
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公開日 | 2014-10-24 | |||||
タイトル | ||||||
タイトル | 特性関数を考慮した4人協力ゲーム | |||||
タイトル | ||||||
言語 | en | |||||
タイトル | A Coalitional Game of Four players with the Characteristic Function | |||||
言語 | ||||||
言語 | jpn | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | ゲーム理論 | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | 協力ゲーム | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | Shapley値 | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | 特性関数 | |||||
資源タイプ | ||||||
資源タイプ識別子 | http://purl.org/coar/resource_type/c_6501 | |||||
資源タイプ | departmental bulletin paper | |||||
ページ属性 | ||||||
内容記述タイプ | Other | |||||
内容記述 | P(論文) | |||||
記事種別(日) | ||||||
値 | 論文 | |||||
記事種別(英) | ||||||
言語 | en | |||||
値 | Article | |||||
著者名(日) |
安達, 康生
× 安達, 康生× 安高, 真一郎× 植松, 康祐 |
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著者名よみ |
アダチ, ヤスオ
× アダチ, ヤスオ× アタカ, シンイチロウ× ウエマツ, コウユウ |
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著者名(英) |
Adachi, Yasuo
× Adachi, Yasuo× Uematsu, Koyu |
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抄録(英) | ||||||
内容記述タイプ | Other | |||||
内容記述 | Game theory is the study of mathematical models of competition and cooperation between rational decision-makers pioneered by Princeton mathematician John Von Neumann. His paper was followed by his 1944 book “Theory of Games and Economic Behavior” with Oskar Morgenstern. In this research, based on the Shapley value introduced by 2012 Nobel Economics prize-winner L.S. Shapley, we discuss how to divide the reward in a coalitional game depending on the relationships between the players. In this paper, we identify the relationship between two players, and define the value of the characteristic function depending on the state of that relationship. If the relationship is good, the value of the characteristic function is high. If the relationship is bad, that value goes down. We define a characteristic function to have these properties and discuss the strategy of each player. By applying the characteristic function, which depends on the relationship, we prove some properties that describe when a specific player’s reward will be the maximum or the minimum. In particular, the number who participate in this game is extended to four persons from three. When the number of participants increases by one, different situations develop with each player’s Shapley value changing from 33=27 to 36=729. We can discuss the strategy of each player by computation simulations with VBA (Microsoft Excel). |
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雑誌書誌ID | ||||||
収録物識別子タイプ | NCID | |||||
収録物識別子 | AN10110523 | |||||
書誌情報 |
国際研究論叢 : 大阪国際大学紀要 en : OIU journal of international studies 巻 28, 号 1, p. 23-36, 発行日 2014-10-31 |