Formalization of sociological theory with mathematical modeling

• Project/Area Number: 15K13062
• Research Category: Grant-in-Aid for Challenging Exploratory Research
• Allocation Type: Multi-year Fund
• Research Field: Sociology
• Research Institution: Tohoku University
• Principal Investigator: Hamada Hiroshi 東北大学, 文学研究科, 教授 (40388723)
• Project Period (FY): 2015-04-01 – 2019-03-31
• Project Status: Completed (Fiscal Year 2018)
• Budget Amount: ¥2,470,000 (Direct Cost: ¥1,900,000、Indirect Cost: ¥570,000); Fiscal Year 2017: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000); Fiscal Year 2016: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000); Fiscal Year 2015: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
• Keywords: 数理社会学 / ベイズ統計モデリング / 所得分布 / 所得不平等 / ベイズモデリング / 不平等 / 階層ベイズ / 準拠集団 / 相対的剥奪 / δ区間モデル

Outline of Final Research Achievements

We build a probabilistic generative model of income distribution by Bayesian model and test the statistical model with using individual income data in Japan and U.S.A. Our findings from statistical data analysis are as follows: the random chances of acquiring human capital are almost stable among age groups. On the other hand, the rate of return of human capital is decreasing function of age.

Academic Significance and Societal Importance of the Research Achievements

本研究の学術的意義は，所得分布の生成過程を説明する理論モデルを確率的生成モデルとして定式化したことである．このことは従来のブラックボックスアプローチと比較して，人的資本論に基づく，より説明的な理論を提唱できたことを意味する．また本研究の社会的意義は不平等の生成過程の分析を通して，生産性を維持したまま所得分布を平等化する理論的な条件を論理的に導出できることである．

Research Products

• [Journal Article] A Bayesian Model of Income Distribution (2019)
  • Author(s): Hiroshi Hamada
  • Journal Title: Sociological Theory and Methods Volume: 34(1)
  • NAID: 130007864256
  • Peer Reviewed / Open Access
• [Journal Article] A Generative Model for Income and Capital Inequality (2016)
  • Author(s): Hamada, Hiroshi
  • Journal Title: Sociological Theory and Methods Volume: 20(2) Pages: 241-256
  • NAID: 130005292336
  • Peer Reviewed / Open Access / Acknowledgement Compliant
• [Presentation] A New Empirical Test of Relative Risk Aversion Hypothesis By Bayes Model: Bernoulli Core Approach (2018)
  • Author(s): Hiroshi Hamada
  • Organizer: 19th ISA world congress of sociology
  • Int'l Joint Research
• [Presentation] A Generative Model for Action by Hierarchical Bayes Approach (2017)
  • Author(s): Hiroshi Hamada
  • Organizer: 1st RC33 Regional Conference on Social Science Methodology: Asia.
  • Int'l Joint Research
• [Presentation] A Generative Model for Action and Hierarchical Bayes Estimation (2017)
  • Author(s): Hamada, Hiroshi
  • Organizer: 第63回数理社会学会大会
  • Place of Presentation: 関西大学