BOOK

General Equilibirum Anaylsis of Production and Increasing Returns, World Scientific 2009 (Series on Mathematical Economics and Game Theory, Volume 4).

Papers

• Nonconvexities, Externalities and Increasing Returns'', Ph D. Thesis, Department of Economics, University of Rochester, 1992.

• Nonconvex Production Economies, Journal of Economic Theory 66 (1995), 158-177.

• Intertemporal General Equilibirum Model with External Increasing Returns, Journal of Economic Theory 69 (1996), 117-133.

• Monopolistically Competitive Equilibria with Diffenretiated Commodities, Economic Theory 16 (2000), 259-275.

• Imperfect Competition à la Negishi, also with Fixed Costs (with P. Dehez and J.H. Drèze), Journal of Mathematicial Economics 39 (2003), 219-23.

• Core and Competitive Equilibria for a Coalitional Exchange Economy with Infinite Time Horizon, Journal of Mathematicial Economics 49 (2013), 234-244.

• Competitive Equilibria of a Large Exchange Economy on the Commodity space ell-infinity, Advances in Mathematical Economics 17 (2013), 1-19,.

• An Elementary Proof of an Infinite Dimensional Fatou Lemma with an Application to Market Equilibrium Analysis, Journal of Pure and Applied Mathematics 10 (2013), 159-182.

• A Coalitional Production Economy with Infinitely Many Indivisible Commodities, Economic Theory Bulletin 4 (1) (2016), 35-52.

• An Exact Fatou Lemma for Gelfand Integrals: a Characterization of the Fatou Property (with M.A. Khan and N. Sagara), Positivity 20 (2016), 343-354.

• On Differentiated and Indivisible Commodities: An Expository Re-Framing of Mas-Colell's 1975 Model (with M.A. Khan), Advances in Mathematical Economics 20 (2016), 103--128.

• Welfare Analysis of a Market Model with External Increasing Returns and Differentiated Commodities, Theoretical Economics Letters 7 (2017), 63-78.

• Market Equilibrium as a Constrained Optimal Solution'', International Journal of Applied & Experimental Mathematics 10 (2016), 1–6.

• On Large Individualized and Distributionalized Exchange Economies with Infinitely Many Commodities, Pure and Applied Functional Analysis 6, (2021)1-33.

Discussion Papers

• A Large Game with Infinite Dimensional and Player-Dependent Strategy Sets Infinitely Many Commodities (with M.A. Khan and N. Sagara).

Lecture Notes on Liberties and Inequalies (in Japanese)

Part I: Justice of Civil Societies

• Lecture 1: Introduction
  1.1. The Aim and Scope of Lectures, 1.2. On Philosophical Theories, 1.3. On Ideologies.

• Lecture 2:Justice as Fairness
  2.1. Axioms of Meta-Ethics and the Original Position, 2.2. Two Principles of Justice, 2.3. Deduction of the Two Principles, 2.4. On the Reflexive Equilibrium.

• Lecture 3:Critiques against Rawls
  3.1. Questions on Primary Goods, 3.2. Ctiticisms by Arrow and Harsanyi, 3.3. A Clue to the Solution.

• Lecture 4: Reconstruction of Original Position
  4.1. Revision of Original Position, 4.2. Deduction of the Difference Principle, 4.3. Rejection of Libertarian Principles, 4.4 Meta-philosophy and Meta-mathematics.

• Lecture 5: Implementability of the Difference principle
  5.1. A. Smith and Division of Labor, 5.2. From Smith to Neo-classical Economics, 5.3. From Marshall's External Economies to External Increasing Returns, 5.4. Political Conditions for the Difference Principle.

Part II: Justice of International Societies

• Lecture 6: Introduction to Part II
  6.1. Well-ordered International Societies, 6.2. Public Reason, 6.3. Kant on Perpetual Peace,

• Lecture 7: Laws of Peoples
  7.1. Basic Problems, 7.2. Ideal Theory (I): Two Original Positions and eight Articles, 7.3. Ideal Theory (II): International Societies including Descent Peoples, 7.4. Non-ideal Theory.

• Lecture 8: Inernational Justce and Human Rights
  8.1. Basic Tasks, 8.2. Basic Rights as Membership Licenses, 8.3. Original Position for Human Rights, 8.4. Original Position for Sovereign Right.

• Lecture 9: Conclusions: Is Justice as Fairness a Science? > 9.1. Sciences and Ideologies, 9.2. Scientific Character of Justice as Fairness.

Papers

• A Reconsideration on the Two Principles of Justice of J. Rawls (in Japanese), The Meiji-Gakuin Review: The papers and Proceeindgs of Economics 147 (2014), 1-52.

• International Justice and Human Rights (in Japanese), The Meiji-Gakuin Review: The papers and Proceeindgs of Economics 155 (2018), 13-45.

• A Simple Model of the Difference Principle, Theoretical Economics Letters 8 (2018), 1869-1888.

• Realities and Ideologies in Social Sciences (in Japanese), English version is published in Realism for Social Sciences, Translational Systems Sciences 36, K. Urai et al. (eds), Springer (2014), 19-35.

Discussion Papers

• An Axiomatic Approach to Justice as Fairness (2015).

Book Reviews

• Goods and Justice in Social Sciences, Ohtsuki-Uno-Katoh (eds), Tokyo University Press (2015) (in Japanese).

Conference and Meeting Talk (in Japanese)

• A Simple Model of the Difference Principle, 2017 Annual Meeting of the Philosophical Association of Japan, May 20, 2017 at Hitotsubashi University.

• A Reconsideration of Justice as Fairness, 2018 Annual Meeting of the Philosophical Association of Japan, May 18, 2018 at Kobe University.

• What is "doing philosophy"? 2018 Special Seminar of the Japanese Society for Mathematical Economics/the Japan Society for Process Studies on "Civilization and Buisiness" July 15, 2018 at MeijiGakuin University.