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Mathematical economics

Author: Graciela Chichilnisky
Publisher: Cheltenham, UK ; Northampton, MA : E. Elgar Pub., ©1998.
Series: International library of critical writings in economics, 93.; Elgar reference collection.
Edition/Format:   Print book : EnglishView all editions and formats

Mathematical Economics is an authoritative collection of the most influential contributions essential to an understanding of this important area of economic science.


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Document Type: Book
All Authors / Contributors: Graciela Chichilnisky
ISBN: 185898260X 9781858982601
OCLC Number: 38566156
Description: 3 volumes : illustrations ; 26 cm.
Contents: Contents:Volume I: Acknowledgements * Introduction Graciela ChichilniskyPreferences and Public Choice1. Giovanni Battista Antonelli (1971), `On the Mathematical Theory of Political Economy'2. Kenneth J. Arrow (1950), `A Difficulty in the Concept of Social Welfare'3. Yuliy M. Baryshinikov (1993), `Unifying Impossibility Theorems: A Topological Approach'4. Graciela Chichilnisky (1980), `Social Choice and the Topology of Spaces of Preferences'5. Duncan K. Foley (1976), `Resource Allocation and the Public Sector'6. Paul Milgrom (1981), `An Axiomatic Characterization of Common Knowledge'7. Graciela Chichilnisky and Geoffrey Heal (1983), `Necessary and Sufficient Conditions for a Resolution of the Social Choice Paradox'8. G. Chichilnisky and G.M. Heal (1997), `The Geometry of Implementation: A Necessary and Sufficient Condition for Straightforward Games'9. Gerard Debreu (1976), `Smooth Preferences: A Corrigendum'10. Allan Gibbard (1973), `Manipulation of Voting Schemes: A General Result'11. Theodore Groves and John Ledyard (1977), `Optimal Allocation of Public Goods: A Solution to the "Free Rider" Problem'12. Ehud Kalai and Eitan Muller (1977), `Characterization of Domains Admitting Nondictatorial Social Welfare Functions and Nonmanipulable Voting Procedures'13. M. Ali Khan and Ye Neng Sun (1990), `On Complete Regularity of Spaces of Economic Agents Endowed with the Order Topology'14. L. Lauwers (1995), `Social Choice with Infinite Populations'15. Amartya Sen and Prasanta K. Pattanaik (1969), `Necessary and Sufficient Conditions for Rational Choice Under Majority Decision'16. Dieter Sondermann (1975), `Smoothing Demand by Aggregation'17. Donald M. Topkis (1978), `Minimizing a Submodular Function on a Lattice'Name IndexVolume II:AcknowledgementsPart I: Savings and Growth1. F.H. Hahn (1966), `Equilibrium Dynamics with Heterogeneous Capital Goods'2. Harold Hotelling (1931), `The Economics of Exhaustible Resources'3. Graciela Chichilnisky (1996), `An Axiomatic Approach to Sustainable Development'4. Walter Perrin Heller (1971), `Disequilibrium Dynamics of Competitive Growth Paths'5. Tjalling C. Koopmans (1965), `On the Concept of Optimal Economic Growth'6. F.P. Ramsey (1928), `A Mathematical Theory of Saving'7. J. V. Neumann (1945), `A Model of General Economic Equilibrium'8. Roy Radner (1961), `Paths of Economic Growth that are Optimal with Regard Only to Final States: A Turnpike Theorem'9. Harl E. Ryder, Jr. and Geoffrey M. Heal (1973), `Optimal Growth with Intertemporally Dependent Preferences'10. G. Chichilnisky and P.J. Kalman (1980), `Application of Functional Analysis to Models of Efficient Allocation of Economic Resources'11. Graciela Chichilnisky (1977), `Nonlinear Functional Analysis and Optimal Economic Growth'Part II: General Equilibrium12. Donald J. Brown, Geoffrey M. Heal, M. Ali Khan and Rajiv Vohra (1986), `On a General Existence Theorem for Marginal Cost Pricing Equilibria'13. Egbert and Hildegard Dierker (1972), `The Local Uniqueness of Equilibria'14. Yves Balasko (1979), `A Geometric Approach to Equilibrium Analysis'15. Donald J. Brown and Geoffrey Heal (1979), `Equity, Efficiency and Increasing Returns'16. Graciela Chichilnisky and Yuqing Zhou (1996), `Smooth Infinite Economies'17. Duncan K. Foley (1994), `A Statistical Equilibrium Theory of Markets'18. John F. Nash, Jr. (1950), `Equilibrium Points in N-Person Games'19. Gerard Debreu (1975), `The Rate of Convergence of the Core of an Economy'20. Graciela Chichilnisky (1996), `A Unified Perspective on Resource Allocation: Limited Arbitrage is Necessary and Sufficient for the Existence of a Competitive Equilibrium, the Core and Social Choice'21. Allan M. Feldman (1973), `Bilateral Trading Processes, Pairwise Optimality, and Pareto Optimality'22. John Geanakoplos and Geoffrey Heal (1983), `A Geometric Explanation of the Transfer Paradox in a Stable Economy'23. Roger Guesnerie (1975), `Pareto Optimality in Non-Convex Economies'24. Graciela Chichilnisky (1986), `A General Equilibrium Theory of North-South Trade'25. Yuqing Zhou (1997), `Genericity Analysis on the Pseudo-Equilibrium Manifold'Name IndexVolume III:AcknowledgementsPart I: Uncertainty and Financial Markets1. Kenneth J. Arrow (1963), `Uncertainty and the Welfare Economics of Medical Care'2. Louis Bachelier (1900), `Theory of Speculation'3. Graciela Chichilnisky (1985), `Von Neumann-Morgenstern Utilities and Cardinal Preferences'4. I.N. Herstein and John Milnor (1953), `An Axiomatic Approach to Measurable Utility'5. Mark J. Machina (1982), `"Expected Utility" Analysis without the Independence Axiom'6. E. Malinvaud (1973), `Markets for an Exchange Economy with Individual Risks'7. Bruno de Finetti (1937), `Foresight: Its Logical Laws, Its Subjective Sources'8. Kenneth J. Arrow (1970), `Exposition of the Theory of Choice under Uncertainty'9. Graciela Chichilnisky (1996), `Markets with Endogenous Uncertainty: Theory and Policy'10. Nicholas C. Yannelis (1991), `The Core of an Economy with Differential Information'11. Graciela Chichilnisky and Geoffrey Heal (1996), `On the Existence and the Structure of the Pseudo-Equilibrium Manifold'12. Darrell Duffie and Wayne Shafer (1985), `Equilibrium in Incomplete Markets: I: A Basic Model of Generic Existence'13. Fischer Black and Myron Scholes (1973), `The Pricing of Options and Corporate Liabilities'14. Leonard J. Savage (1971), `Elicitation of Personal Probabilities and Expectations'Part II: Stability and Computation15. Richard H. Day and Giulio Pianigiani (1991), `Statistical Dynamics and Economics'16. B. Curtis Eaves and Herbert Scarf (1976), `The Solution of Systems of Piecewise Linear Equations'17. Morris W. Hirsch and Stephen Smale (1979), `On Algorithms for Solving f(x) = 0'18. Steve Smale (1983), `On the Average Number of Steps of the Simplex Method of Linear Programming'19. Paul A. Samuelson (1949), `Market Mechanisms and Maximization'20. Geoffrey Heal and Darryl McLeod (1984), `Gains from Trade, Stability and Profits: A Comment on Chichilnisky's "Terms of Trade and Domestic Distribution: Export-led Growth with Abundant Labour"'Name Index
Series Title: International library of critical writings in economics, 93.; Elgar reference collection.
Responsibility: edited by Graciela Chichilnisky.


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