Cover image for Computable economics
Title:
Computable economics
Author:
Velupillai, Kumaraswamy, 1947-
ISBN:
9781843762393
Publication Information:
Cheltenham : Edward Elgar, c2011.
Physical Description:
lxx, 746 p. : ill. ; 26 cm.
Series:
The international library of critical writings in economics ; 259
General Note:
Formerly CIP.
Contents:
Machine generated contents note: pt. I FOUNDATIONS OF COMPUTABLE ECONOMICS -- 1.`Origins of Recursive Function Theory', Annals of the History of Computing, 3 (1), January, 52--67 / Stephen C. Kleene -- 2.`Solvable and Unsolvable Problems', Science News, 31, 7--23 / A.M. Turing -- pt. II MATHEMATICAL AND METHODOLOGICAL FOUNDATIONS OF COMPUTABLE ECONOMICS -- 3.`An Intuitionist Correction of the Fixed-Point Theorem on the Sphere', Proceedings of the Royal Society of London, Series A, 213 (1112), June, 1--2 / L.E.J. Brouwer -- 4.`Elements of a Theory of Human Problem Solving', Psychological Review, 65 (3), 151--66 / Herbert A. Simon -- 5.`On The Recursivity of Finite Sets', Zeitschrift fur Mathematische Logik und Grundlagen der Mathematik, 7 (2), 136--40 / Ronald Harrop -- 6.`Games, An Informal Talk', American Mathematical Monthly, 72 (5), May, 457--68 / H. Steinhaus --

Contents note continued: 7.`The Mental Life of Some Machines', in H. Castaneda (ed.), Intentionality, Minds and Perception, reprinted in Hilary Putnam (ed.), Mind, Language and Reality: Philosophical Papers, Volume 2, Chapter 20, Cambridge, UK; Cambridge University Press, 408--28, references / Hilary Putnam -- 8.`Constructive Methods in Mathematical Economics', Journal of Economics, Supplement 8, 1--21 / Douglas S. Bridges -- pt. III CLASSICS OF COMPUTABLE CHOICE THEORY -- 9.`Preference and Utility: A Constructive Development', Journal of Mathematical Economics, 9, 165--85 / Douglas S. Bridges -- 10.`On Effectively Computable Realizations of Choice Functions', Mathematical Social Sciences, 10 (1), August, 43--80 / Alain A. Lewis -- 11.`The Minimum Degree of Recursively Representable Choice Functions', Mathematical Social Sciences, 10 (2), October, 179--88 / Alain A. Lewis --

Contents note continued: 12.`Rationality, Computability, and Complexity', Journal of Economic Dynamics and Control, 14 (2), May, 419--32 / Kumaraswamy Velupillai -- 13.`Recursiveness and Preference Orderings', Journal of Economic Dynamics and Control, 17 (5--6), September--November, 865--76 / Gregory Lilly -- pt. IV COMPUTABLE GAME THEORY -- 14.`Effective Computability of Winning Strategies', Annals of Mathematics Studies, 39, 147--57 / Michael O. Rabin -- 15.`Some Notes on Church's Thesis and the Theory of Games', Theory and Decision, 29 (1), 19--52 / Luca Anderlini -- 16.`Computability and Randomness of Nash Equilibrium in Infinite Games', Journal of Mathematical Economics, 20 (5), 429--42 / Kislaya Prasad -- 17.`Rationality, Computability, and Nash Equilibrium', Econometrica, 60 (4), July, 877--88 / David Canning -- 18.`On the Computability of Nash Equilibria', Journal of Economic Dynamics and Control, 21 (6), June, 943--53 / Kislaya Prasad --

Contents note continued: 19.`Expository Notes on Computability and Complexity in (Arithmetical) Games', Journal of Economic Dynamics and Control, 21 (6), June, 955--79 / K. (Vela) Velupillai -- 20.`The Incompleteness of Theories of Games', Journal of Philosophical Logic, 27 (6), December, 553--68 / Francisco A. Doria -- pt. V COMPUTABLE GENERAL EQUILIBRIUM THEORY -- 21.`Toward a Constructive Proof of the Existence of Equilibrium in a Competitive Economy', Yale Economic Essays, 8 (1), Spring, 155--96 / Rolf Ricardo Mantel -- 22.`Walras' Existence Theorem and Brouwer's Fixed-Point Theorem', Economic Studies Quarterly, 8 (1), 59--62 / Hirofumi Uzawa -- 23.`The Computation of Equilibrium Prices', in Herbert E. Scarf and John B. Shoven (eds), Applied General Equilibrium Analysis, Chapter 1, Cambridge, UK: Cambridge University Press, 1--49 / Herbert E. Scarf --

Contents note continued: 24.`Algorithmic Foundations of Computable General Equilibrium Theory', Applied Mathematics and Computation, 179 (1), 360--69 / K. Vela Velupillai -- 25.`Undecidability of Uzawa Equivalence Theorem and LLPO (Lesser Limited Principle of Omniscience)', Applied Mathematics and Computation, 201 (1--2), July, 378--83 / Yasuhito Tanaka -- pt. VI COMPUTABLE MACROECONOMICS -- 26.`Learning Rational Expectations Under Computability Constraints', Econometrica, 57 (4), July, 889--910 / Stephen E. Spear -- 27.`Learning in a Computable Setting. Applications of Gold's Inductive Inference Model', in Hans Amman, Berc Rustem and Andrew Whinston (eds), Computational Approaches to Economic Problems, Dordrecht, The Netherlands: Kluwer Academic Publishers, 271--88 / Francesco Luna -- 28.`Production of Ideas by Means of Ideas: A Turing Machine Metaphor', Metroeconomica, 55 (2&3), 155--79 / Stefano Zambelli --

Contents note continued: 29.`The Impossibility of an Effective Theory of Policy in a Complex Economy', in Massimo Salzano and David Colander (eds), Complexity Hints for Economic Policy, Berlin, Germany and New York, NY: Springer-Verlag, 273--90 / K. Vela Velupillai -- pt. VII COMPUTABLE MICROECONOMICS -- 30.`On the Effective Content of Asymptotic Verifications of Edgeworth's Conjecture', Mathematical Social Sciences, 22 (3), December, 275--324 / Alain A. Lewis -- 31.`Non-Computability of Competitive Equilibrium', Economic Theory, 14 (1), July, 1--27 / Kam-Chau Wong -- 32.`Uncomputability and Undecidability in Economic Theory', Applied Mathematics and Computation, 215 (4), October, 1404--16 / K. Vela Velupillai -- pt. VIII COMPUTABLE SOCIAL CHOICE THEORY -- 33.`An Infinite Version of Arrow's Theorem in the Effective Setting', Mathematical Social Sciences, 16 (1), August, 41--8 / Alain A. Lewis --

Contents note continued: 34.`Social Choice and Computational Complexity', Journal of Mathematical Economics, 17 (1), 1--8 / Jerry S. Kelly -- 35.`Arrow's Theorem and Turing Computability', Economic Theory, 10 (2), August, 257--76 / H. Reiju Mihara -- pt. IX EXOTICA -- 36.`The Ignorance of Bourbaki', Mathematical Intelligencer, 14 (3), 4--13 / A.R.D. Mathias -- 37.`Incomplete Written Contracts: Undescribable States of Nature', Quarterly Journal of Economics, 109 (4), November, 1085--124 / Leonardo Felli.
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