Edit Profile (opens in new tab) Samuelson, Paul Anthony Compute Distance To: Compute Author ID: samuelson.paul-anthony Published as: Samuelson, Paul A.; Samuelson, P. A.; Samuelson, Paul Anthony; Samuelson, Paul External Links: MGP · Wikidata · dblp · GND · IdRef Awards: Nobel Memorial Prize in Economic Sciences (1970) Documents Indexed: 65 Publications since 1938, including 3 Books 3 Further Contributions Biographic References: 3 Publications Co-Authors: 8 Co-Authors with 8 Joint Publications 26 Co-Co-Authors all top 5 Co-Authors 57 single-authored 2 Solow, Robert Merton 2 Suzumura, Kotaro 2 Yellin, Joel 1 Bidard, Christian 1 Dorfman, Robert 1 Dornbusch, Rudiger 1 Erreygers, Guido 1 Fischer, Stanley 1 Levy, Haim 1 Merton, Robert Cox 1 von Weizsäcker, Carl Christian all top 5 Serials 16 Proceedings of the National Academy of Sciences of the United States of America 9 Econometrica 6 International Economic Review 4 Journal of Risk and Uncertainty 4 Annals of Mathematical Statistics 3 Journal of Mathematics and Physics 2 The Quarterly Journal of Economics 2 Theoretical Population Biology 1 Management Science 1 Synthese 1 Social Choice and Welfare 1 SIAM Review 1 Operations-Research-Verfahren 1 Journal of Financial Economics 1 Nonlinear Analysis. Theory, Methods & Applications all top 5 Fields 31 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 11 Biology and other natural sciences (92-XX) 4 History and biography (01-XX) 4 Operations research, mathematical programming (90-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 1 Difference and functional equations (39-XX) 1 Statistics (62-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 51 Publications have been cited 746 times in 668 Documents Cited by ▼ Year ▼ Foundations of economic analysis. Zbl 0031.17401Samuelson, Paul A. 247 1947 Linear programming and economic analysis. Zbl 0123.37102Dorfman, Robert; Samuelson, Paul A.; Solow, Robert M. 105 1958 The stability of equilibrium: Comparative statics and dynamics. JFM 67.0531.05Samuelson, P. A. 35 1941 Balanced growth under constant returns to scale. Zbl 0050.36805Solow, Robert M.; Samuelson, Paul A. 32 1953 Probability, utility and the independence axiom. Zbl 0047.13804Samuelson, Paul A. 28 1952 Generalized predator-prey oscillations in ecological and economic equilibrium. Zbl 0214.19303Samuelson, P. A. 27 1971 Fallacy of the log-normal approximation to optimal portfolio decision-making over many periods. Zbl 1131.91345Merton, Robert C.; Samuelson, Paul A. 23 1974 The ”fallacy” of maximizing the geometric mean in long sequences of investing or gambling (maximum geometric mean strategy/uniform strategies/asymptotically sufficient parameters). Zbl 0226.62111Samuelson, Paul A. 20 1971 Optimum social security in a life-cycle growth model. Zbl 0315.90015Samuelson, Paul A. 19 1975 Using full duality to show that simultaneously additive direct and indirect utilities implies unitary price elasticity of demand. Zbl 0138.16001Samuelson, Paul A. 17 1965 The optimum growth rate for population. Zbl 0313.90013Samuelson, Paul A. 16 1975 Optimality of profit-including prices under ideal planning. Zbl 0258.90003Samuelson, Paul A. 15 1973 Law of conservation of the capital-output ratio. Zbl 0218.90005Samuelson, P. A. 14 1970 Stochastic speculative price. Zbl 0217.57102Samuelson, P. A. 11 1971 A method of determining explicitly the coefficients of the characteristic equation. Zbl 0061.27304Samuelson, Paul A. 10 1942 Mathematics of speculative price. Zbl 0261.90009Samuelson, Paul A. 10 1973 Abstract of a theorem concerning substitutability in open Leontief models. Zbl 0045.09604Samuelson, Paul A. 10 1951 An extension of the Le Chatelier principle. Zbl 0096.14201Samuelson, Paul A. 9 1960 The empirical implications of utility analysis. JFM 64.0568.01Samuelson, P. A. 9 1938 Heckscher-Ohlin trade theory with a continuum of goods. Zbl 0451.90025Dornbusch, Rudiger; Fischer, Stanley; Samuelson, Paul A. 9 1980 A dynamical model for human population. Zbl 0288.92016Yellin, Joel; Samuelson, P. A. 9 1974 The periodic turnpike theorem. Zbl 0363.90029Samuelson, P. A. 5 1976 Efficient paths of capital accumulation in terms of the calculus of variations. Zbl 0100.15002Samuelson, Paul A. 5 1960 Exact distribution of continuous variables in sequential analysis. Zbl 0033.19803Samuelson, Paul A. 5 1948 A universal cycle? Zbl 0164.20402Samuelson, Paul A. 5 1967 Time symmetry and asymmetry in population and deterministic dynamic systems. Zbl 0389.92017Samuelson, Paul A. 4 1976 A convergent iterative process. Zbl 0061.26604Samuelson, Paul A. 4 1945 Conditions that the roots of a polynomial be less than unity in absolute value. Zbl 0026.05301Samuelson, Paul A. 4 1941 Comparison of linear and nonlinear models for human population dynamics. Zbl 0362.92011Yellin, Joel; Samuelson, Paul A. 3 1977 Generalizing Fisher’s ”reproductive value”: Linear differential and difference equations of ”dilute” biological systems. Zbl 0377.92011Samuelson, Paul A. 3 1977 The fundamental singularity theorem for non-joint production. Zbl 0141.36001Samuelson, Paul A. 3 1966 Conditions that the roots of a polynomial be less than unity in absolute value. JFM 67.0066.01Samuelson, P. A. 3 1941 An interview with Paul Samuelson: Welfare economics, “old” and “new”, and social choice theory. Zbl 1100.91500Suzumura, Kotaro 3 2005 Generalizing Fisher’s ”reproductive value”: ”Incipient” and ”penultimate” reproductive-value functions when environment limits growth; linear approximants for nonlinear Mendelian mating models. Zbl 0398.92027Samuelson, Paul A. 2 1978 Asymmetric or symmetric time preference and discounting in many facets of economic theory: A miscellany. Zbl 1165.91356Samuelson, Paul A. 2 2008 Rapidly converging solutions to integral equations. Zbl 0053.40203Samuelson, Paul A. 2 1953 A note on alternative regressions. Zbl 0063.06683Samuelson, Paul A. 2 1942 How best to flip-flop if you must: Integer dynamic stochastic programming for either-or. Zbl 0890.90013Samuelson, Paul A. 2 1997 The capital asset pricing model with diverse holding periods. Zbl 0765.90013Levy, Haim; Samuelson, Paul A. 2 1992 Optimality of sluggish predictors under ergodic probabilities. Zbl 0323.90020Samuelson, Paul A. 1 1976 The optimum growth rate for population: Agreement and evaluations. Zbl 0332.90011Samuelson, Paul A. 1 1976 Generalizing Fisher’s ”reproductive value”: Overlapping and nonoverlapping generations with competing genotypes. Zbl 0415.92010Samuelson, Paul A. 1 1978 Conserved energy without work or heat. Zbl 0752.39005Samuelson, Paul A. 1 1992 The St. Petersburg paradox as a divergent double limit. Zbl 0092.35503Samuelson, Paul A. 1 1960 Economics and thermodynamics: von Neumann’s problematic conjecture. Zbl 0863.90036Samuelson, Paul A. 1 1992 A new labor theory of value for rational planning through use of the bourgeois profit rate. Zbl 0215.29403von Weizsäcker, C. C.; Samuelson, P. A. 1 1971 Unification theorem for the two basic dualities of homothetic demand theory. Zbl 0241.90006Samuelson, Paul A. 1 1972 A biological least-action principle for the ecological model of Volterra- Lotka. Zbl 0289.92002Samuelson, Paul A. 1 1974 Some memories of Norbert Wiener. Zbl 0879.01051Samuelson, Paul A. 1 1997 Proof by certainty equivalents that diversification-across-time does worse, risk corrected, than diversification-throughout-time. Zbl 0886.90027Samuelson, Paul A. 1 1997 Maximum principles in analytical economics. Zbl 0312.90006Samuelson, Paul A. 1 1975 Asymmetric or symmetric time preference and discounting in many facets of economic theory: A miscellany. Zbl 1165.91356Samuelson, Paul A. 2 2008 An interview with Paul Samuelson: Welfare economics, “old” and “new”, and social choice theory. Zbl 1100.91500Suzumura, Kotaro 3 2005 How best to flip-flop if you must: Integer dynamic stochastic programming for either-or. Zbl 0890.90013Samuelson, Paul A. 2 1997 Some memories of Norbert Wiener. Zbl 0879.01051Samuelson, Paul A. 1 1997 Proof by certainty equivalents that diversification-across-time does worse, risk corrected, than diversification-throughout-time. Zbl 0886.90027Samuelson, Paul A. 1 1997 The capital asset pricing model with diverse holding periods. Zbl 0765.90013Levy, Haim; Samuelson, Paul A. 2 1992 Conserved energy without work or heat. Zbl 0752.39005Samuelson, Paul A. 1 1992 Economics and thermodynamics: von Neumann’s problematic conjecture. Zbl 0863.90036Samuelson, Paul A. 1 1992 Heckscher-Ohlin trade theory with a continuum of goods. Zbl 0451.90025Dornbusch, Rudiger; Fischer, Stanley; Samuelson, Paul A. 9 1980 Generalizing Fisher’s ”reproductive value”: ”Incipient” and ”penultimate” reproductive-value functions when environment limits growth; linear approximants for nonlinear Mendelian mating models. Zbl 0398.92027Samuelson, Paul A. 2 1978 Generalizing Fisher’s ”reproductive value”: Overlapping and nonoverlapping generations with competing genotypes. Zbl 0415.92010Samuelson, Paul A. 1 1978 Comparison of linear and nonlinear models for human population dynamics. Zbl 0362.92011Yellin, Joel; Samuelson, Paul A. 3 1977 Generalizing Fisher’s ”reproductive value”: Linear differential and difference equations of ”dilute” biological systems. Zbl 0377.92011Samuelson, Paul A. 3 1977 The periodic turnpike theorem. Zbl 0363.90029Samuelson, P. A. 5 1976 Time symmetry and asymmetry in population and deterministic dynamic systems. Zbl 0389.92017Samuelson, Paul A. 4 1976 Optimality of sluggish predictors under ergodic probabilities. Zbl 0323.90020Samuelson, Paul A. 1 1976 The optimum growth rate for population: Agreement and evaluations. Zbl 0332.90011Samuelson, Paul A. 1 1976 Optimum social security in a life-cycle growth model. Zbl 0315.90015Samuelson, Paul A. 19 1975 The optimum growth rate for population. Zbl 0313.90013Samuelson, Paul A. 16 1975 Maximum principles in analytical economics. Zbl 0312.90006Samuelson, Paul A. 1 1975 Fallacy of the log-normal approximation to optimal portfolio decision-making over many periods. Zbl 1131.91345Merton, Robert C.; Samuelson, Paul A. 23 1974 A dynamical model for human population. Zbl 0288.92016Yellin, Joel; Samuelson, P. A. 9 1974 A biological least-action principle for the ecological model of Volterra- Lotka. Zbl 0289.92002Samuelson, Paul A. 1 1974 Optimality of profit-including prices under ideal planning. Zbl 0258.90003Samuelson, Paul A. 15 1973 Mathematics of speculative price. Zbl 0261.90009Samuelson, Paul A. 10 1973 Unification theorem for the two basic dualities of homothetic demand theory. Zbl 0241.90006Samuelson, Paul A. 1 1972 Generalized predator-prey oscillations in ecological and economic equilibrium. Zbl 0214.19303Samuelson, P. A. 27 1971 The ”fallacy” of maximizing the geometric mean in long sequences of investing or gambling (maximum geometric mean strategy/uniform strategies/asymptotically sufficient parameters). Zbl 0226.62111Samuelson, Paul A. 20 1971 Stochastic speculative price. Zbl 0217.57102Samuelson, P. A. 11 1971 A new labor theory of value for rational planning through use of the bourgeois profit rate. Zbl 0215.29403von Weizsäcker, C. C.; Samuelson, P. A. 1 1971 Law of conservation of the capital-output ratio. Zbl 0218.90005Samuelson, P. A. 14 1970 A universal cycle? Zbl 0164.20402Samuelson, Paul A. 5 1967 The fundamental singularity theorem for non-joint production. Zbl 0141.36001Samuelson, Paul A. 3 1966 Using full duality to show that simultaneously additive direct and indirect utilities implies unitary price elasticity of demand. Zbl 0138.16001Samuelson, Paul A. 17 1965 An extension of the Le Chatelier principle. Zbl 0096.14201Samuelson, Paul A. 9 1960 Efficient paths of capital accumulation in terms of the calculus of variations. Zbl 0100.15002Samuelson, Paul A. 5 1960 The St. Petersburg paradox as a divergent double limit. Zbl 0092.35503Samuelson, Paul A. 1 1960 Linear programming and economic analysis. Zbl 0123.37102Dorfman, Robert; Samuelson, Paul A.; Solow, Robert M. 105 1958 Balanced growth under constant returns to scale. Zbl 0050.36805Solow, Robert M.; Samuelson, Paul A. 32 1953 Rapidly converging solutions to integral equations. Zbl 0053.40203Samuelson, Paul A. 2 1953 Probability, utility and the independence axiom. Zbl 0047.13804Samuelson, Paul A. 28 1952 Abstract of a theorem concerning substitutability in open Leontief models. Zbl 0045.09604Samuelson, Paul A. 10 1951 Exact distribution of continuous variables in sequential analysis. Zbl 0033.19803Samuelson, Paul A. 5 1948 Foundations of economic analysis. Zbl 0031.17401Samuelson, Paul A. 247 1947 A convergent iterative process. Zbl 0061.26604Samuelson, Paul A. 4 1945 A method of determining explicitly the coefficients of the characteristic equation. Zbl 0061.27304Samuelson, Paul A. 10 1942 A note on alternative regressions. Zbl 0063.06683Samuelson, Paul A. 2 1942 The stability of equilibrium: Comparative statics and dynamics. JFM 67.0531.05Samuelson, P. A. 35 1941 Conditions that the roots of a polynomial be less than unity in absolute value. Zbl 0026.05301Samuelson, Paul A. 4 1941 Conditions that the roots of a polynomial be less than unity in absolute value. JFM 67.0066.01Samuelson, P. A. 3 1941 The empirical implications of utility analysis. JFM 64.0568.01Samuelson, P. A. 9 1938 all cited Publications top 5 cited Publications all top 5 Cited by 861 Authors 10 Mitra, Tapan 9 Caputo, Michael R. 9 Evstigneev, Igor V. 8 Khan, Mohammed Ali 7 Grüne, Lars 6 Balasko, Yves 6 Diewert, Walter Erwin 6 Hens, Thorsten 6 Nishimura, Kazuo 5 Faulwasser, Timm 5 Kalman, Peter J. 5 Samuelson, Paul Anthony 5 Schenk-Hoppé, Klaus Reiner 5 Zuazua, Enrique 4 Blackorby, Charles 4 Epstein, Larry G. 4 Freedman, Herbert Irving 4 Gugat, Martin 4 Li, Jinlu 4 Suzumura, Kotaro 4 Trélat, Emmanuel 3 Amir, Rabah 3 Andersen, Torben M. 3 Burmeister, Edwin 3 Chichilnisky, Graciela 3 Clark, Stephen A. 3 Echenique, Federico 3 Fujimoto, Takao 3 Ivanov, Aleksandr Aleksandrovich 3 Kalaba, Robert E. 3 Klee, Victor LaRue 3 Krause, Ulrich 3 Lady, George M. 3 Le Van, Cuong 3 Levy, Moshe 3 Lin, Kuan-Pin 3 Ling, Chen 3 Luenberger, David G. 3 Majumdar, Mukul K. 3 Piazza, Adriana 3 Puu, Tönu 3 Rader, Trout 3 Schaller, Manuel 3 Segal, Uzi 3 Shell, Karl 3 Stachurski, John 3 Tintner, Gerhard 3 Uzawa, Hirofumi 3 Venditti, Alain 3 Weber, Christian Ernst 3 Wolff, Reiner 2 An, Phan Thanh 2 Beladi, Hamid 2 Ben-Israel, Adi 2 Ben-Tal, Aharon 2 Bhattacharya, Joydeep 2 Binh, Vuong Thi Thao 2 Blake, David 2 Bodnar, Taras 2 Bonvin, Dominique 2 Borgonovo, Emanuele 2 Bossert, Walter 2 Brock, William A.“Buz” 2 Bronsard, Camille 2 Brualdi, Richard Anthony 2 Cartigny, Pierre 2 Cass, David 2 Chambers, Christopher P. 2 Christensen, Finn 2 Chukwu, Ethelbert Nwakuche 2 Conlisk, John 2 Cortés, Jorge 2 Crawford, Vincent P. 2 D’Albis, Hippolyte 2 Dana, Rose-Anne 2 Dasgupta, Swapan K. 2 Del Rey, Elena 2 Demetrius, Lloyd A. 2 Dietzenbacher, Erik 2 Donaldson, David J. 2 Dostál, Petr 2 Dybvig, Philip H. 2 Färe, Rolf 2 Farebrother, Richard William 2 Feichtinger, Gustav 2 Fishburn, Peter Clingerman 2 Florenzano, Monique 2 Grosskopf, Shawna 2 Hadeler, Karl-Peter 2 Hammond, Peter Jackson 2 Hayes, Kathy J. 2 Iwata, Satoru 2 Jensen, Bjarne Sloth 2 Jensen, Martin Kaae 2 Joosten, Reinoud 2 Kakimura, Naonori 2 Karatzas, Ioannis 2 Kellett, Christopher M. 2 LaFrance, Jeffrey T. 2 Lang, Karl Reiner ...and 761 more Authors all top 5 Cited in 180 Serials 65 Journal of Economic Theory 55 Journal of Mathematical Economics 26 Economic Theory 24 Journal of Economics 23 Journal of Economic Dynamics & Control 20 European Journal of Operational Research 20 Linear Algebra and its Applications 19 Metroeconomica 18 Economics Letters 16 Journal of Econometrics 14 Annals of Operations Research 13 Journal of Mathematical Analysis and Applications 13 Mathematical Social Sciences 10 Zeitschrift für Nationalökonomie 9 Theoretical Population Biology 9 Journal of Mathematical Sciences (New York) 8 Mathematical Biosciences 7 Journal of Optimization Theory and Applications 7 Theory and Decision 7 Social Choice and Welfare 7 Mathematical and Computer Modelling 7 Unternehmensforschung 6 SIAM Journal on Control and Optimization 5 Mathematical Methods of Operations Research 4 International Journal of Systems Science 4 Journal of Mathematical Biology 4 Automatica 4 Synthese 4 Insurance Mathematics & Economics 4 Games and Economic Behavior 4 Mathematical Programming. Series A. Series B 4 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 4 Quantitative Finance 4 Bulletin of the American Mathematical Society 3 Chaos, Solitons and Fractals 3 Applied Mathematics and Computation 3 Journal of Computational and Applied Mathematics 3 Journal of Mathematical Psychology 3 The Journal of Mathematical Sociology 3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 3 Numerische Mathematik 3 Optimal Control Applications & Methods 3 Journal of Risk and Uncertainty 3 Computational Economics 3 Journal of Difference Equations and Applications 3 Mathematics and Financial Economics 3 Decision Analysis 2 International Journal of General Systems 2 Physica A 2 Annals of the Institute of Statistical Mathematics 2 Applied Mathematics and Optimization 2 Calcolo 2 International Economic Review 2 Journal of Differential Equations 2 Kybernetika 2 Scandinavian Actuarial Journal 2 Acta Applicandae Mathematicae 2 Computers & Operations Research 2 MCSS. Mathematics of Control, Signals, and Systems 2 Computer Science in Economics and Management 2 Communications in Statistics. Theory and Methods 2 Stochastic Processes and their Applications 2 Bulletin of the American Mathematical Society. New Series 2 Open Economies Review 2 Applied Mathematical Finance 2 Mathematical Population Studies 2 European Journal of Control 2 Mathematical Finance 2 Positivity 2 Discrete Dynamics in Nature and Society 2 International Journal of Theoretical and Applied Finance 2 Econometric Theory 2 Nonlinear Analysis. Real World Applications 2 Journal of Systems Science and Complexity 2 North American Actuarial Journal 2 Fixed Point Theory and Applications 2 International Journal of Control, I. Series 2 Proceedings of the Japan Academy 2 Dynamic Games and Applications 2 European Journal for Philosophy of Science 2 Journal of Theoretical Biology 2 Nonlinear Analysis. Theory, Methods & Applications 1 Applicable Analysis 1 Discrete Applied Mathematics 1 Discrete Mathematics 1 Information Processing Letters 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Journal of Applied Mathematics and Mechanics 1 Journal of Computational Physics 1 Journal of the Franklin Institute 1 Journal of Mathematical Physics 1 Journal of Statistical Physics 1 Mathematical Notes 1 Physics Letters. A 1 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 1 Mathematics of Computation 1 Bulletin of Mathematical Biology 1 Journal of Geometry and Physics 1 The Mathematical Intelligencer 1 Annals of Human Genetics ...and 80 more Serials all top 5 Cited in 42 Fields 454 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 105 Operations research, mathematical programming (90-XX) 56 Calculus of variations and optimal control; optimization (49-XX) 46 Biology and other natural sciences (92-XX) 43 Statistics (62-XX) 43 Systems theory; control (93-XX) 35 Linear and multilinear algebra; matrix theory (15-XX) 29 Dynamical systems and ergodic theory (37-XX) 26 Numerical analysis (65-XX) 25 Ordinary differential equations (34-XX) 21 Probability theory and stochastic processes (60-XX) 13 Computer science (68-XX) 12 History and biography (01-XX) 12 Combinatorics (05-XX) 12 Operator theory (47-XX) 11 Partial differential equations (35-XX) 8 Real functions (26-XX) 7 General topology (54-XX) 6 Information and communication theory, circuits (94-XX) 5 General and overarching topics; collections (00-XX) 5 Functional analysis (46-XX) 4 Order, lattices, ordered algebraic structures (06-XX) 4 Difference and functional equations (39-XX) 4 Global analysis, analysis on manifolds (58-XX) 4 Mechanics of particles and systems (70-XX) 3 Mathematical logic and foundations (03-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Functions of a complex variable (30-XX) 2 Differential geometry (53-XX) 1 Field theory and polynomials (12-XX) 1 Commutative algebra (13-XX) 1 Associative rings and algebras (16-XX) 1 Group theory and generalizations (20-XX) 1 Convex and discrete geometry (52-XX) 1 Algebraic topology (55-XX) 1 Manifolds and cell complexes (57-XX) 1 Mechanics of deformable solids (74-XX) 1 Fluid mechanics (76-XX) 1 Optics, electromagnetic theory (78-XX) 1 Quantum theory (81-XX) 1 Relativity and gravitational theory (83-XX) 1 Geophysics (86-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.