Strategic interactions through space, time, and information: Theory and application to spatial economics

2019 Fiscal Year Final Research Report

• Project/Area Number: 16K03548
• Research Category: Grant-in-Aid for Scientific Research (C)
• Allocation Type: Multi-year Fund
• Section: 一般
• Research Field: Economic theory
• Research Institution: The University of Tokyo
• Principal Investigator: Oyama Daisuke 東京大学, 大学院経済学研究科(経済学部), 准教授 (00436742)
• Co-Investigator(Kenkyū-buntansha): 藤嶋 翔太 一橋大学, 大学院経済学研究科, 准教授 (50706835)
• Project Period (FY): 2016-04-01 – 2020-03-31
• Keywords: interaction game / dynamic game / incomplete information / higher order belief / equilibrium selection / potential game / economic growth / agglomeration

Outline of Final Research Achievements

The purpose of this project has been to enhance our understanding, from a unified perspective based on game theory, on strategic interactions through space, time, and information. I obtained new results and insights on the robustness of equilibria to incomplete information, the relationship between spatial agglomeration of industries and economic growth, and continuous limit approximation of finite-player asynchronous-move stochastic games. These have been published or reported in international referred journals and conferences.

Free Research Field

ゲーム理論，経済理論

Academic Significance and Societal Importance of the Research Achievements

均衡の情報頑健性の分析については，(2戦略の範囲で) 多人数のプレイヤーのクラスではじめて必要十分条件を与えることができた．多地域経済成長の分析については，(ポテンシャル関数の存在を保証するある種の対称性の仮定の下で) 将来期待の下での大域安定性を厳密に分析することができた．有限人プレイヤーの確率ゲームの連続極限近似の分析については，やはり forward-looking なプレイヤーを扱って均衡集合一様に成り立つ近似定理を示すことができた．