Application of an algebraic system equipped with composition of non-cooperative games as operations to management problems

2023 Fiscal Year Final Research Report

• Project/Area Number: 21K01658
• Research Category: Grant-in-Aid for Scientific Research (C)
• Allocation Type: Multi-year Fund
• Section: 一般
• Review Section: Basic Section 07080:Business administration-related
• Research Institution: Nihon University
• Principal Investigator: SHIBA Naoki 日本大学, 生産工学部, 教授 (50226164)
• Project Period (FY): 2021-04-01 – 2024-03-31
• Keywords: 非協力ゲーム / マルチエージェントシミュレーション / イノベーション / 転売行為 / ベーシックインカム制度

Outline of Final Research Achievements

Models based on non-cooperative games were applied to several management and economic problems, and several findings were obtained. Specifically, 1) We focused on innovation in organizations and clarified that the balance between existing knowledge held by members within an organization and orientation towards new knowledge influences the emergence of innovation. 2) We, modeled the act of reselling scarce goods by individuals as a non-cooperative expansion game, and clarified that the existence of equilibrium differs depending on the transparency of information and the presence or absence of uncertainty between producers and resellers. 3) It was shown that the basic income system can be sustainable if it is operated appropriately, allowing for the diversity of labor values held by workers, and that the added value of society as a whole will not be significantly impaired.

Free Research Field

システム理論

Academic Significance and Societal Importance of the Research Achievements

経営情報学分野での非協力ゲーム理論およびマルチエージェント（MA）シミュレーションに関連する応用について情報を収集し、非協力ゲームとしてのエージェント間の相互作用をベースとしたMAモデルの作成を試みた。MAシミュレーションへの応用は、非協力ゲームがエージェント間で多数プレイされる状況をモデル化するため、本研究テーマである「非協力ゲームの合成」が持つ特性を活かせる応用例と考えられる。その結果、「研究成果の概要」欄で述べた通り、非協力ゲームの合成を演算としてもつ代数系として経営問題を捉えることによるモデル化の可能性が示された。