Mathematical Studies on Spatial Economics and Conflict Resolution

本研究对区域科学的贡献有两点。第一部分是空间经济学的数学研究，在一般均衡框架下阐明产业集聚的机理。特别是在多产业、多区域的空间中研究经济，发展国际贸易理论，并将其成果应用于解决环境经济学和发展经济学中的一些问题。研究成果在国际知名期刊发表（或接受）学术论文9篇。第二部分是冲突解决的数学研究。我们通过实验检验了申请人提出的新的仲裁程序AFOA和DOA，并表明AFOA比其他现有的仲裁程序更有效。利用动态博弈论中的策略概念，扩展了冲突解决的图模型。成果总结发表学术论文7篇，其中6篇发表在国际知名期刊，1篇发表在日本律师期刊。

This study contributes to the regional science in two points. The first part is the mathematical study on spatial economics, clarifying the mechanism of industrial agglomeration by a general-equilibrium framework. Particularly, we study the economy in a space of multiple industries and multiple regions, develop the international trade theory, and apply the results to resolve some problems in environment economics and development economics. The results are summarized in 9 academic papers, published (or accepted) in well-known international journals. The second part is the mathematical study on conflict resolution. We examine new arbitration procedures AFOA and DOA proposed by the applicant by use of experiments and show that AFOA works better than other existing procedures. We also extend the graph model for conflict resolution by use of the concept of strategy in dynamic game theory. The results are summarized in 7 academic papers, 6 of them are published in well-known international journals, and one of them is published in a Japanese journal for Japanese lawyers.