fbpx
Wikipedia

Hirofumi Uzawa

January 01, 1970

Hirofumi Uzawa (宇沢 弘文, Uzawa Hirofumi, July 21, 1928 – September 18, 2014) was a Japanese economist.

Biography edit

Uzawa was born on July 21, 1928, in Yonago, Tottori to a farming family.

He attended the Tokyo First Middle School (currently the Hibiya High School ) and the First Higher School, Japan (now the College of Arts and Sciences, University of Tokyo).[1]

He graduated from the Mathematics Department of the University of Tokyo in 1951; he was a special research student from 1951 to 1953. At that time, he discovered the true nature of economics in the words of John Ruskin, “There is no wealth, but life.” which was quoted in the foreword to Tale of Poverty (貧乏物語, binbō monogatari) by Hajime Kawakami, and decided to study economics.[2]

His paper on decentralized economic planning caught the eye of Kenneth Arrow at Stanford University. He went to study Economics at Stanford University in 1956 with Fulbright fellowship, and became a research assistant, then assistant professor in 1956, then assistant professor at the University of California, Berkeley in 1960, and then associate professor at Stanford in 1961.[2] In 1962, he received a Ph.D. from Tohoku University.[3] He became a professor at the University of Chicago in 1964, and a professor of University of Tokyo's Department of Economics in 1969. He also taught at Niigata University, Chuo University, and United Nations University.[4] Joseph E. Stiglitz and George A. Akerlof did research under Uzawa at the University of Chicago and David Cass studied under Uzawa at Stanford University.[5][2]

Uzawa was a senior fellow at the Research Center of Social Common Capital at Doshisha University. He held the position of the president of the Econometric Society from 1976 to 1977. He also held the position of Counsel for the Development Bank of Japan's Research Institute of Capital Formation (RICF) from 1968 until his passing.[6]

Contributions edit

Uzawa initiated the field of mathematical economics in postwar days and formulated the growth theory of neoclassical economics. This is reflected in the Uzawa–Lucas model, the Uzawa iteration, the Uzawa condition, and Uzawa's Theorem, among others.

In his 1962 paper,[7] Uzawa proved that the two of Walrasian equilibrium and Brouwer's fixed-point theorem are equivalent.

His 1965 model in which technical change is a result of macroeconomic investment was an early approach to endogenous growth theory. In these models, investments in R&D or education are chosen and have the effect of raising future economic growth rates.

Recognition edit

Bibliography edit

Books edit

  • Arrow, Kenneth J.; Hurwicz, Leonid; Uzawa, Hirofumi (1958). Studies in linear and non-linear programming. Stanford mathematical studies in the social sciences. Vol. 2. Redwood City, California: Stanford University Press.
  • Stiglitz, Joseph E.; Uzawa, Hirofumi (1969). Readings in the modern theory of economic growth. Cambridge, Massachusetts: MIT Press. ISBN 9780262190558.
  • Uzawa, Hirofumi (1989). Preference, Production and Capital: Selected Papers of Hirofumi Uzawa. Cambridge, England: Cambridge University Press. ISBN 978-0521361743.
  • Uzawa, Hirofumi (1989). Optimality, Equilibrium, and Growth: Selected Papers of Hirofumi Uzawa. Hongō, Bunkyō, Tokyo, Japan: University of Tokyo Press. ISBN 978-4130470414.
  • Uzawa, Hirofumi (2003). Economic Theory and Global Warming. Cambridge, England: Cambridge University Press. ISBN 978-0521823869.
  • Uzawa, Hirofumi (2005). Economic Analysis of Social Common Capital. Cambridge, England: Cambridge University Press. ISBN 978-0521847889.

Chapters in books edit

  • Uzawa, Hirofumi (1958), "Iterative methods for concave programming", in Arrow, Kenneth J.; Hurwicz, Leonid; Uzawa, Hirofumi (eds.), Studies in linear and non-linear programming, Stanford, California: Stanford University Press, pp. 154–165.
  • Uzawa, Hirofumi (1960), "Preference and rational choice in the theory of consumption", in Arrow, Kenneth J.; Karlin, Samuel; Suppes, Patrick (eds.), Mathematical models in the social sciences, 1959: Proceedings of the first Stanford symposium, Stanford mathematical studies in the social sciences, IV, Stanford, California: Stanford University Press, pp. 129–149, ISBN 9780804700214.
  • Uzawa, Hirofumi (1968), "Time preference, the consumption function, and optimum asset holdings", in Wolfe, J.N. (ed.), Value, Capital and Growth, Edinburgh, Scotland, UK: Edinburgh University Press, pp. 485–504, ISBN 978-0852240205.
  • Hurwicz, Leonid; Uzawa, Hirofumi (1971), "On the integrability of demand functions", in Chipman, John Somerset (ed.), Preferences, Utility and Demand, New York: Harcourt Brace Jovanovich, pp. 114–148, ISBN 978-0155710771.
  • Uzawa, Hirofumi (1975), "Optimum Investment in Social Overhead Capital" (PDF), in Mills, Edwin S. (ed.), Economic Analysis of Environmental Problems, NBER, pp. 9–26, ISBN 978-0-87014-267-3.
  • Uzawa, Hirofumi (1991), "Global warming initiatives: the Pacific Rim", in Dornbusch, Rudiger; Poterba, James M. (eds.), Global Warming: Economic Policy Responses, Cambridge, Massachusetts: MIT Press, pp. 275–321, ISBN 978-0262041263.

Selected journal articles edit

  • Uzawa, Hirofumi (1956). "Note on preference and axioms of choice". Annals of the Institute of Statistical Mathematics. 8 (1): 35–40. doi:10.1007/BF02863564. S2CID 121301191.
  • Uzawa, Hirofumi (1957). "Note on the Rational Selection of Decision Functions". Econometrica. 25 (1): 166–174. doi:10.2307/1907749. JSTOR 1907749.
  • Uzawa, Hirofumi (1958). "A note on the Menger-Wieser theory of imputation". Zeitschrift für Nationalökonomie. 18 (3): 318–334. doi:10.1007/BF01317023. S2CID 154846224.
  • Uzawa, Hirofumi (1959). "Prices of the Factors of Production in International Trade". Econometrica. 27 (3): 448–468. doi:10.2307/1909471. JSTOR 1909471.
  • Uzawa, Hirofumi (1960). "Locally Most Powerful Rank Tests for Two-Sample Problems". Annals of Mathematical Statistics. 31 (3): 685–702. doi:10.1214/aoms/1177705795. JSTOR 2237578.
  • Uzawa, Hirofumi (1960). (PDF). Review of Economic Studies. 27 (3): 182–194. doi:10.2307/2296080. JSTOR 2296080. Archived from the original (PDF) on 2015-05-28. Retrieved 2016-05-29.
  • Uzawa, Hirofumi (1960). "Market Mechanisms and Mathematical Programming". Econometrica. 28 (4): 872–881. doi:10.2307/1907569. JSTOR 1907569.
  • Nikaidô, Hukukane; Uzawa, Hirofumi (1960). "Stability and Non-Negativity in a Walrasian Tâtonnement Process". International Economic Review. 1 (1): 50–59. doi:10.2307/2525408. JSTOR 2525408.
  • Arrow, Kenneth J.; Hurwicz, Leonid; Uzawa, Hirofumi (1961). "Constraint qualifications in maximization problems". Naval Research Logistics. 8 (2): 175–191. doi:10.1002/nav.3800080206.
  • Uzawa, Hirofumi (1961). "A Comment on Newman's "Complete Ordering and Revealed Preference"". Review of Economic Studies. 28 (2): 140–141. doi:10.2307/2295712. JSTOR 2295712.
  • Uzawa, Hirofumi (1961). "Neutral Inventions and the Stability of Growth Equilibrium". Review of Economic Studies. 28 (2): 117–124. doi:10.2307/2295709. JSTOR 2295709.
  • Uzawa, Hirofumi (1961). "On a Two-Sector Model of Economic Growth". Review of Economic Studies. 29 (1): 40–47. doi:10.2307/2296180. JSTOR 2296180.
  • Uzawa, Hirofumi (1961). (PDF). Econometrica. 29 (4): 617–631. doi:10.2307/1911808. JSTOR 1911808. Archived from the original (PDF) on 2016-06-24. Retrieved 2016-05-22.
  • Uzawa, Hirofumi (1962). (PDF). International Economic Review. 3 (2): 218–232. doi:10.2307/2525426. JSTOR 2525426. Archived from the original (PDF) on 2016-07-01. Retrieved 2016-05-29.
  • Uzawa, Hirofumi (1962). "Walras's Existence Theorem and Brouwer's Fixed Point Theorem". Economic Studies Quarterly. 13 (1): 59–62.
  • Uzawa, Hirofumi (1962). "Aggregative Convexity and the Existence of Competitive Equilibrium". Economic Studies Quarterly. 12 (2): 52–60.
  • Uzawa, Hirofumi (1962). "Production Functions with Constant Elasticities of Substitution". Review of Economic Studies. 29 (4): 291–299. doi:10.2307/2296305. JSTOR 2296305.
  • Uzawa, Hirofumi (1963). "On a Two-Sector Model of Economic Growth II". Review of Economic Studies. 30 (2): 105–118. doi:10.2307/2295808. JSTOR 2295808.
  • Goldman, S. M.; Uzawa, Hirofumi (1964). "A Note on Separability in Demand Analysis". Econometrica. 32 (3): 387–398. doi:10.2307/1913043. JSTOR 1913043.
  • Uzawa, Hirofumi (1964). "A Note on Professor Solow's Model of Technical Progress". Economic Studies Quarterly. 14 (3): 63–68.
  • Uzawa, Hirofumi (1964). "Optimal Growth in a Two-Sector Model of Capital Accumulation". Review of Economic Studies. 31 (1): 1–24. doi:10.2307/2295932. JSTOR 2295932.
  • Uzawa, Hirofumi (1964). "Duality Principles in the Theory of Cost and Production". International Economic Review. 5 (2): 216–220. doi:10.2307/2525564. JSTOR 2525564.
  • Uzawa, Hirofumi (1965). "Optimum Technical Change in an Aggregative Model of Economic Growth" (PDF). International Economic Review. 6 (1): 18–31. doi:10.2307/2525621. JSTOR 2525621.
  • Oniki, Hajime; Uzawa, Hirofumi (1965). "Patterns of Trade and Investment in a Dynamic Model of International Trade". Review of Economic Studies. 32 (1): 15–38. doi:10.2307/2296328. JSTOR 2296328.
  • Uzawa, Hirofumi (1969). "Time Preference and the Penrose Effect in a Two-Class Model of Economic Growth" (PDF). Journal of Political Economy. 77 (4): 628–652. doi:10.1086/259554. JSTOR 1829323. S2CID 154688691.
  • Uzawa, Hirofumi (1971). "Diffusion of Inflationary Processes in a Dynamic Model of International Trade". Economic Studies Quarterly. 22 (1): 14–37.
  • Uzawa, Hirofumi (1974). "Sur la théorie économique du capital collectif social". Cahiers du Séminaire d'Économétrie (15): 101–122. doi:10.2307/20075467. JSTOR 20075467.
  • Uzawa, Hirofumi (1993). "Imputed prices of greenhouse gases and land forests". Renewable Energy. 3 (4–5): 499–511. doi:10.1016/0960-1481(93)90116-X.
  • Uzawa, Hirofumi (1996). "Environment and Development Economics". Environmental Economics and Policy Studies. 1 (1): 1–2. doi:10.1017/S1355770X00000322. S2CID 155073354.
  • Uzawa, Hirofumi (1996). "An endogenous rate of time preference, the Penrose effect, and dynamic optimality of environmental quality". PNAS. 93 (12): 5770–5776. Bibcode:1996PNAS...93.5770U. doi:10.1073/pnas.93.12.5770. PMC 39136. PMID 11607685.
  • Uzawa, Hirofumi (1999). "Global warming as a cooperative game". Environmental Economics and Policy Studies. 2 (1): 1–37. doi:10.1007/BF03353901. S2CID 154994852.

Working Papers edit

References edit

  1. ^ "下村治博士・宇沢弘文先生について | 研究所案内 | 設備投資研究所 | 日本政策投資銀行（DBJ）". www.dbj.jp. Retrieved 2024-04-29.
  2. ^ a b c "2009 Blue Planet Prize Commemorative Lectures" (PDF). The Asahi Glass Foundation. Retrieved 2016-05-22.
  3. ^ 宇沢, 弘文 (1962). CiNii Dissertations - レオン・ワルラスの一般均衡理論に関する諸研究 (PhD Thesis). CiNii. Retrieved 22 May 2016.
  4. ^ . Asahi Shimbun. 26 September 2014. Archived from the original on 14 October 2014. Retrieved 27 September 2014.
  5. ^ "Joseph E. Stiglitz: The Sveriges Riksbank Prize in Economic Sciences in Memory of Alfred Nobel 2001". Nobelprize.org. Retrieved May 12, 2016.
  6. ^ "下村治博士・宇沢弘文先生について | 研究所案内 | 設備投資研究所 | 日本政策投資銀行（Dbj）".
  7. ^ The new Palgrave dictionary of economics. Durlauf, Steven N., Blume, Lawrence. (2nd ed.). Basingstoke, Hampshire: Palgrave Macmillan. 2008. p. 608. ISBN 9780333786765. OCLC 181424188.{{cite book}}: CS1 maint: others (link)

Further reading edit

  • Ikeo, Aiko (2014). A History of Economic Science in Japan: The Internationalization of Economics in the Twentieth Century. Routledge. ISBN 978-1-317-74753-6.

External links edit

  • Masahiro Okuno-Fujiwara and Karl Shell (2009). "An Interview with Hirofumi Uzawa". Macroeconomic Dynamics. 13 (3): 390–420. doi:10.1017/S1365100509080213. S2CID 154942138.
  • "An Interview with Hirofumi Uzawa, 2009 (in Czech)". Kovanda, Lukas. 2009-04-25. Retrieved 2010-04-25.
  • Hirofumi Uzawa at the Mathematics Genealogy Project

January 01, 1970
hirofumi, uzawa, this, article, includes, list, general, references, lacks, sufficient, corresponding, inline, citations, please, help, improve, this, article, introducing, more, precise, citations, february, 2013, learn, when, remove, this, message, 宇沢, 弘文, u. This article includes a list of general references but it lacks sufficient corresponding inline citations Please help to improve this article by introducing more precise citations February 2013 Learn how and when to remove this message Hirofumi Uzawa 宇沢 弘文 Uzawa Hirofumi July 21 1928 September 18 2014 was a Japanese economist Hirofumi Uzawa宇沢 弘文Born 1928 07 21 July 21 1928Yonago Tottori JapanDiedSeptember 18 2014 2014 09 18 aged 86 Tokyo JapanNationalityJapaneseAcademic careerInstitutionStanford UniversityUniversity of California at BerkeleyUniversity of ChicagoUniversity of TokyoChuo UniversityDoshisha UniversityFieldMathematical economicsAlma materUniversity of Tokyo B Math 1951 Stanford UniversityTohoku University Ph D 1962 DoctoralstudentsDavid CassKarl ShellMiguel SidrauskiInfluencesShokichi IyanagaJoichi SuetsunaKenneth ArrowHajime KawakamiContributionsUzawa two sector growth modelUzawa iterationUzawa conditionIntegrability of demandAwardsPerson of Cultural Merit 1983 Order of Culture 1997 Blue Planet Prize 2009 Information at IDEAS RePEc Contents 1 Biography 2 Contributions 3 Recognition 4 Bibliography 4 1 Books 4 2 Chapters in books 4 3 Selected journal articles 4 4 Working Papers 5 References 6 Further reading 7 External linksBiography editUzawa was born on July 21 1928 in Yonago Tottori to a farming family He attended the Tokyo First Middle School currently the Hibiya High School and the First Higher School Japan now the College of Arts and Sciences University of Tokyo 1 He graduated from the Mathematics Department of the University of Tokyo in 1951 he was a special research student from 1951 to 1953 At that time he discovered the true nature of economics in the words of John Ruskin There is no wealth but life which was quoted in the foreword to Tale of Poverty 貧乏物語 binbō monogatari by Hajime Kawakami and decided to study economics 2 His paper on decentralized economic planning caught the eye of Kenneth Arrow at Stanford University He went to study Economics at Stanford University in 1956 with Fulbright fellowship and became a research assistant then assistant professor in 1956 then assistant professor at the University of California Berkeley in 1960 and then associate professor at Stanford in 1961 2 In 1962 he received a Ph D from Tohoku University 3 He became a professor at the University of Chicago in 1964 and a professor of University of Tokyo s Department of Economics in 1969 He also taught at Niigata University Chuo University and United Nations University 4 Joseph E Stiglitz and George A Akerlof did research under Uzawa at the University of Chicago and David Cass studied under Uzawa at Stanford University 5 2 Uzawa was a senior fellow at the Research Center of Social Common Capital at Doshisha University He held the position of the president of the Econometric Society from 1976 to 1977 He also held the position of Counsel for the Development Bank of Japan s Research Institute of Capital Formation RICF from 1968 until his passing 6 Contributions editUzawa initiated the field of mathematical economics in postwar days and formulated the growth theory of neoclassical economics This is reflected in the Uzawa Lucas model the Uzawa iteration the Uzawa condition and Uzawa s Theorem among others In his 1962 paper 7 Uzawa proved that the two of Walrasian equilibrium and Brouwer s fixed point theorem are equivalent His 1965 model in which technical change is a result of macroeconomic investment was an early approach to endogenous growth theory In these models investments in R amp D or education are chosen and have the effect of raising future economic growth rates Recognition edit1983 Person of Cultural Merit 1989 Member of Japan Academy 1995 National Academy of Sciences Visiting Fellow 1997 Order of Culture 2009 Blue Planet Prize Econometric Society Fellow Lifetime Bibliography editBooks edit Arrow Kenneth J Hurwicz Leonid Uzawa Hirofumi 1958 Studies in linear and non linear programming Stanford mathematical studies in the social sciences Vol 2 Redwood City California Stanford University Press Stiglitz Joseph E Uzawa Hirofumi 1969 Readings in the modern theory of economic growth Cambridge Massachusetts MIT Press ISBN 9780262190558 Uzawa Hirofumi 1989 Preference Production and Capital Selected Papers of Hirofumi Uzawa Cambridge England Cambridge University Press ISBN 978 0521361743 Uzawa Hirofumi 1989 Optimality Equilibrium and Growth Selected Papers of Hirofumi Uzawa Hongō Bunkyō Tokyo Japan University of Tokyo Press ISBN 978 4130470414 Uzawa Hirofumi 2003 Economic Theory and Global Warming Cambridge England Cambridge University Press ISBN 978 0521823869 Uzawa Hirofumi 2005 Economic Analysis of Social Common Capital Cambridge England Cambridge University Press ISBN 978 0521847889 Chapters in books edit Uzawa Hirofumi 1958 Iterative methods for concave programming in Arrow Kenneth J Hurwicz Leonid Uzawa Hirofumi eds Studies in linear and non linear programming Stanford California Stanford University Press pp 154 165 Uzawa Hirofumi 1960 Preference and rational choice in the theory of consumption in Arrow Kenneth J Karlin Samuel Suppes Patrick eds Mathematical models in the social sciences 1959 Proceedings of the first Stanford symposium Stanford mathematical studies in the social sciences IV Stanford California Stanford University Press pp 129 149 ISBN 9780804700214 Uzawa Hirofumi 1968 Time preference the consumption function and optimum asset holdings in Wolfe J N ed Value Capital and Growth Edinburgh Scotland UK Edinburgh University Press pp 485 504 ISBN 978 0852240205 Hurwicz Leonid Uzawa Hirofumi 1971 On the integrability of demand functions in Chipman John Somerset ed Preferences Utility and Demand New York Harcourt Brace Jovanovich pp 114 148 ISBN 978 0155710771 Uzawa Hirofumi 1975 Optimum Investment in Social Overhead Capital PDF in Mills Edwin S ed Economic Analysis of Environmental Problems NBER pp 9 26 ISBN 978 0 87014 267 3 Uzawa Hirofumi 1991 Global warming initiatives the Pacific Rim in Dornbusch Rudiger Poterba James M eds Global Warming Economic Policy Responses Cambridge Massachusetts MIT Press pp 275 321 ISBN 978 0262041263 Selected journal articles edit Uzawa Hirofumi 1956 Note on preference and axioms of choice Annals of the Institute of Statistical Mathematics 8 1 35 40 doi 10 1007 BF02863564 S2CID 121301191 Uzawa Hirofumi 1957 Note on the Rational Selection of Decision Functions Econometrica 25 1 166 174 doi 10 2307 1907749 JSTOR 1907749 Uzawa Hirofumi 1958 A note on the Menger Wieser theory of imputation Zeitschrift fur Nationalokonomie 18 3 318 334 doi 10 1007 BF01317023 S2CID 154846224 Uzawa Hirofumi 1959 Prices of the Factors of Production in International Trade Econometrica 27 3 448 468 doi 10 2307 1909471 JSTOR 1909471 Uzawa Hirofumi 1960 Locally Most Powerful Rank Tests for Two Sample Problems Annals of Mathematical Statistics 31 3 685 702 doi 10 1214 aoms 1177705795 JSTOR 2237578 Uzawa Hirofumi 1960 Walras Tatonnement in the Theory of Exchange PDF Review of Economic Studies 27 3 182 194 doi 10 2307 2296080 JSTOR 2296080 Archived from the original PDF on 2015 05 28 Retrieved 2016 05 29 Uzawa Hirofumi 1960 Market Mechanisms and Mathematical Programming Econometrica 28 4 872 881 doi 10 2307 1907569 JSTOR 1907569 Nikaido Hukukane Uzawa Hirofumi 1960 Stability and Non Negativity in a Walrasian Tatonnement Process International Economic Review 1 1 50 59 doi 10 2307 2525408 JSTOR 2525408 Arrow Kenneth J Hurwicz Leonid Uzawa Hirofumi 1961 Constraint qualifications in maximization problems Naval Research Logistics 8 2 175 191 doi 10 1002 nav 3800080206 Uzawa Hirofumi 1961 A Comment on Newman s Complete Ordering and Revealed Preference Review of Economic Studies 28 2 140 141 doi 10 2307 2295712 JSTOR 2295712 Uzawa Hirofumi 1961 Neutral Inventions and the Stability of Growth Equilibrium Review of Economic Studies 28 2 117 124 doi 10 2307 2295709 JSTOR 2295709 Uzawa Hirofumi 1961 On a Two Sector Model of Economic Growth Review of Economic Studies 29 1 40 47 doi 10 2307 2296180 JSTOR 2296180 Uzawa Hirofumi 1961 The Stability of Dynamic Processes PDF Econometrica 29 4 617 631 doi 10 2307 1911808 JSTOR 1911808 Archived from the original PDF on 2016 06 24 Retrieved 2016 05 22 Uzawa Hirofumi 1962 On the Stability of Edgeworth s Barter Process PDF International Economic Review 3 2 218 232 doi 10 2307 2525426 JSTOR 2525426 Archived from the original PDF on 2016 07 01 Retrieved 2016 05 29 Uzawa Hirofumi 1962 Walras s Existence Theorem and Brouwer s Fixed Point Theorem Economic Studies Quarterly 13 1 59 62 Uzawa Hirofumi 1962 Aggregative Convexity and the Existence of Competitive Equilibrium Economic Studies Quarterly 12 2 52 60 Uzawa Hirofumi 1962 Production Functions with Constant Elasticities of Substitution Review of Economic Studies 29 4 291 299 doi 10 2307 2296305 JSTOR 2296305 Uzawa Hirofumi 1963 On a Two Sector Model of Economic Growth II Review of Economic Studies 30 2 105 118 doi 10 2307 2295808 JSTOR 2295808 Goldman S M Uzawa Hirofumi 1964 A Note on Separability in Demand Analysis Econometrica 32 3 387 398 doi 10 2307 1913043 JSTOR 1913043 Uzawa Hirofumi 1964 A Note on Professor Solow s Model of Technical Progress Economic Studies Quarterly 14 3 63 68 Uzawa Hirofumi 1964 Optimal Growth in a Two Sector Model of Capital Accumulation Review of Economic Studies 31 1 1 24 doi 10 2307 2295932 JSTOR 2295932 Uzawa Hirofumi 1964 Duality Principles in the Theory of Cost and Production International Economic Review 5 2 216 220 doi 10 2307 2525564 JSTOR 2525564 Uzawa Hirofumi 1965 Optimum Technical Change in an Aggregative Model of Economic Growth PDF International Economic Review 6 1 18 31 doi 10 2307 2525621 JSTOR 2525621 Oniki Hajime Uzawa Hirofumi 1965 Patterns of Trade and Investment in a Dynamic Model of International Trade Review of Economic Studies 32 1 15 38 doi 10 2307 2296328 JSTOR 2296328 Uzawa Hirofumi 1969 Time Preference and the Penrose Effect in a Two Class Model of Economic Growth PDF Journal of Political Economy 77 4 628 652 doi 10 1086 259554 JSTOR 1829323 S2CID 154688691 Uzawa Hirofumi 1971 Diffusion of Inflationary Processes in a Dynamic Model of International Trade Economic Studies Quarterly 22 1 14 37 Uzawa Hirofumi 1974 Sur la theorie economique du capital collectif social Cahiers du Seminaire d Econometrie 15 101 122 doi 10 2307 20075467 JSTOR 20075467 Uzawa Hirofumi 1993 Imputed prices of greenhouse gases and land forests Renewable Energy 3 4 5 499 511 doi 10 1016 0960 1481 93 90116 X Uzawa Hirofumi 1996 Environment and Development Economics Environmental Economics and Policy Studies 1 1 1 2 doi 10 1017 S1355770X00000322 S2CID 155073354 Uzawa Hirofumi 1996 An endogenous rate of time preference the Penrose effect and dynamic optimality of environmental quality PNAS 93 12 5770 5776 Bibcode 1996PNAS 93 5770U doi 10 1073 pnas 93 12 5770 PMC 39136 PMID 11607685 Uzawa Hirofumi 1999 Global warming as a cooperative game Environmental Economics and Policy Studies 2 1 1 37 doi 10 1007 BF03353901 S2CID 154994852 Working Papers edit Koopmans Tjalling C Uzawa Hirofumi 1982 Constancy and Constant Differences of Price Elasticities of Demand Cowles Foundation Discussion Papers 654 Cowles Foundation for Research in Economics Yale University References edit 下村治博士 宇沢弘文先生について 研究所案内 設備投資研究所 日本政策投資銀行 DBJ www dbj jp Retrieved 2024 04 29 a b c 2009 Blue Planet Prize Commemorative Lectures PDF The Asahi Glass Foundation Retrieved 2016 05 22 宇沢 弘文 1962 CiNii Dissertations レオン ワルラスの一般均衡理論に関する諸研究 PhD Thesis CiNii Retrieved 22 May 2016 Leading Japanese economist Hirofumi Uzawa dies at 86 Asahi Shimbun 26 September 2014 Archived from the original on 14 October 2014 Retrieved 27 September 2014 Joseph E Stiglitz The Sveriges Riksbank Prize in Economic Sciences in Memory of Alfred Nobel 2001 Nobelprize org Retrieved May 12 2016 下村治博士 宇沢弘文先生について 研究所案内 設備投資研究所 日本政策投資銀行 Dbj The new Palgrave dictionary of economics Durlauf Steven N Blume Lawrence 2nd ed Basingstoke Hampshire Palgrave Macmillan 2008 p 608 ISBN 9780333786765 OCLC 181424188 a href Template Cite book html title Template Cite book cite book a CS1 maint others link Further reading editIkeo Aiko 2014 A History of Economic Science in Japan The Internationalization of Economics in the Twentieth Century Routledge ISBN 978 1 317 74753 6 External links editMasahiro Okuno Fujiwara and Karl Shell 2009 An Interview with Hirofumi Uzawa Macroeconomic Dynamics 13 3 390 420 doi 10 1017 S1365100509080213 S2CID 154942138 An Interview with Hirofumi Uzawa 2009 in Czech Kovanda Lukas 2009 04 25 Retrieved 2010 04 25 Hirofumi Uzawa at the Mathematics Genealogy Project Retrieved from https en wikipedia org w index php title Hirofumi Uzawa amp oldid 1221380154, wikipedia, wiki, book, books, library,

article

, read, download, free, free download, mp3, video, mp4, 3gp, jpg, jpeg, gif, png, picture, music, song, movie, book, game, games.