A comprehensive study of economics, game theory, and discrete convex analysis
| Project/Area Number |
17H07179
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| Research Category |
Grant-in-Aid for Research Activity Start-up
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| Allocation Type | Single-year Grants |
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| Research Field |
Economic theory
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| Research Institution | Waseda University |
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Principal Investigator |
YOKOTE KOJI 早稲田大学, 政治経済学術院, 助教 (50802344)
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| Project Period (FY) |
2017-08-25 – 2019-03-31
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| Project Status |
Completed (Fiscal Year 2018)
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| Budget Amount *help |
¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
Fiscal Year 2018: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2017: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
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| Keywords | ゲーム理論 / 離散凸解析 / マーケットデザイン / ミクロ経済学 / 分離定理 / Kuhn-Tuckerの定理 / オークション / 理論経済学 |
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| Outline of Final Research Achievements |
In classical economic models, commodities are assumed to be divisible. However, in real economic problems, commodities are often indivisible. Examples of such commodities include houses or cars. When we analyze markets with indivisibility, we cannot apply fundamental mathematical tools such as calculus or topology. As an alternative tool, I applied discrete convex analysis, a branch of discrete mathematics, to economic models with indivisibility. As a result, I provided new mathematical methods for understanding existing results in a unified manner. I also applied economic theory to real-world allocation problems of indivisible commodities and offered a new perspective on the desirability/fairness of allocations.
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| Academic Significance and Societal Importance of the Research Achievements |
本研究の学術的な意義として、経済学と離散数学の橋渡しに貢献をしたことが挙げられる。離散凸解析という手法が経済学に応用されたのは比較的最近のことであり、新たに勃興し始めた研究の推進に貢献した。特に、離散数学の中で提示されてきた数学的な諸定理を経済学者にも馴染みやすい形で書き直し、オークション等の問題への具体的な応用例を提示したことは、今後の理論的発展に寄与するものである。さらに、理論研究だけに留まらず、現実の分配問題にも目を向け、分配の公平性や望ましさを研究に盛り込んだ点は、本研究の社会的意義として挙げることができる。
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Report
(3 results)
Research Products
(5 results)
