Bibliography Aleksandrov, P. S. [1956]: Combinatorial Topology, Vol. I. Graylock Press, Rochester. Aliprantis, Charalambos D., and K. C. Border [1994]: Infinite Dimen­ sional Analysis: A Hitchhiker's Guide. Springer-Verlag. Aliprantis, Charalambos D., D. J. Brown, and O. Burkinshaw [1990]: Existence and Optimality of Competitive Equilibria. Springer-Verlag. Aliprantis, Charalambos D., and O. Burkinshaw [1998]: Principles of Real Analysis, 3rd edition. Academic Press. Aliprantis, Charalambos D., R. Tourky, and N. C. Yannelis [1998]: 'Core Conditions in Economics.' Manuscript. Apostol, Tom M. [1974]: Mathematical Analysis, 2nd ed. Reading, Mass; Addison-Wesley. Armstrong, W. E. [1939]: 'The Determinateness of the Utility Function,' Economic Journal; 49,453-67. Arrow, Kenneth J. [1951]: 'An Extension of the Basic Theorems of Clas­ sical Welfare Economics,' in: Neyman, Jerzy, ed.: Proceedings of the Second Berkeley Symposium on Mathematical Statistics and Probability University of California Press, pp. 507-32. Reprinted in Readings in Mathematical Eco­ nomics, Vol. I (edited by Peter Newman). Baltimore: The Johns Hopkins Press, 1968, 365-90. Arrow, Kenneth J. et. al. [1961]: 'Capital-Labor Substitution and Eco­ nomic Efficiency,' Review of Economic Statistics; 43; 225-50. Arrow, Kenneth J., and G. Debreu [1954]: 'Existence of an Equilibrium for a Competitive Economy,' Econometrica; 22; 265-90. Arrow, Kenneth J., and F. H. Hahn [1971]: General Competitive Anal­ ysis. Holden-Day (republished by North-Holland). Arrow, Kenneth J., and M. Intriligator, eds. [1981]: Handbook of Math­ ematical Economics, Volume I. North-Holland. Arrow, Kenneth J., and M. Intriligator, eds. [1982]: Handbook of Math­ ematical Economics, Volume II. North-Holland. Arrow, Kenneth J., and M. Intriligator, eds. [1986]: Handbook of Math­ ematical Economics, Volume III. North-Holland. Aumann, Robert J. [1966] 'Existence of Competitive Equilibria in Mar­ kets with a Continuum of Traders,' Econometrica; 34; 1-17. 330 BIBLIOGRAPHY Barone, Enrico [1908]: 'II ministerio dell produzione nello stato col­ letivista,' Giornale degli Economisti [2]; 327; 267-293, 391-414. English translation: 'The Ministry of Production in the Collectivist State,' in Col­ lectivist Economic Planning (edited by F. A. Hayek). London: Routledge & Kegan Paul Ltd., 1935, 245-290. Reprinted in Readings in Mathemati­ cal Economics, Vol. I (edited by Peter Newman). Baltimore: The Johns Hopkins Press, 1968,319-364. Berge, Claude [1957]: Theorie generale des jeux Ii n personnes, Gauthier­ Villars, Paris. Berge, Claude [1963]: Topological Spaces. New York: the Macmillan Company. (English Translation by E. M. Patterson of: Espace Topologiques, fonctions multivoques, published by Dunod, Paris, 1959.) Bergstrom, Theodore C. [1976]: 'How to Discard 'Free Disposability'­ At No Cost,' Journal of Mathematical Economics; 3, 131-4. Bergstrom, Theodore C., R. P. Parks, and T. Rader [1976]: 'Preferences which have Open Graphs,' Journal of Mathematical Economics; 3, 265-68. Bewley, Truman F. [1972]: 'Existence of Equilibria in Economies with Infinitely Many Commodities,' Journal of Economic Theory; 4; 514-40. Binmore, Kenneth G. [1982]: Mathematical Analysis: A Straightforward Approach. Cambridge University Press. Blackorby, Charles, D. Primont, and R. Russell [1978]: Duality, Separa­ bility, and Functional Structure: Theory and Economic Applications. North Holland. Border, Kim C. [1985]: Fixed Point Theorems with Applications to Eco­ nomics and Game Theory. New York: Cambridge University Press. Castaing, C., and M. Valadier [1977]: Convex Analysis and Measurable Multifunctions. Berlin: Springer-Verlag. Chipman, John S., L. Hurwicz, M. K. Richter, and H. F. Sonnenschein, eds [1971]: Preferences, Utility, and Demand. New York: Harcourt Brace Jovanovich, Inc. Chipman, John S., and J. C. Moore [1971]: 'The Compensation Principle in Welfare Economics,' in: Zarley, Arvid V., ed: Papers in Quantitative Economics, 2. The University Press of Kansas, pp. 1-77. Chipman, John S., and J. C. Moore [1979]: 'On Social Welfare Functions and the Aggregation of Preferences,' Journal of Economic Theory; 21: 111- 39. Conway, John B. [1985]: A Course in Functional Analysis. Springer­ Verlag. Debreu, Gerard [19511: 'The Coefficient of Resource Utilization,' Econo­ metrica; 19; 273-92. Debreu, Gerard [1954al: 'Valuation Equilibrium and Pareto Optimum,' Proceedings of the National Academy of Sciences; 40; 588-92. Debreu, Gerard [1954b]: 'Representation of a Preference Ordering by a Numberical Function,' in: Thrall, Robert M., C. H. Coombs, and R. L. BIBLIOGRAPHY 331 Davis, eds.: Decision Processes. (New York: John Wiley & Sons). Debreu, Gerard [1959]: Theory of Value. New York: John Wiley & Sons (re-published by the Yale Univesity Press). Debreu, Gerard [1962]: 'New Concepts and Techniques for Equilibrium Analysis,' International Economic Review; 3, 257-73. Debreu, Gerard [1967]: 'Integration of Correspondences,' in: LeCam, L., J. Neyman, and E. L. Scott, eds.: Proceedings of the Fifth Berkeley Symposium in Math. Stat. and Probability, II, Part I, Univ of California Press, 351-72. Debreu, Gerard, and D. Schmeidler [1972]: The Radon-Nikodym Deriva­ tive of a Correspondence,' in: LeCam, L., J. Neyman, and E. L. Scott, eds.: Proceedings of the Sixth Berkeley Symposium in Math. Stat. and Probability, Univ of California Press, 41-56. Dixmier, Jacques [1984]: General Topology. Springer-Verlag. Dow, James, and H. Sonnenschein [1986]: 'Samuelson and Chipman­ Moore on Utility-Generated Community Demand,' Chapter 1, pp. 1-6, in: Peston, M. H., and R. E. Quandt, eds.: Prices, Competition, and Equilib­ rium. Barnes & Noble. Dugundji, James [1966]: Topology. Allyn & Bacon, Inc. Eggleston, Harold G [1962]: Elementary Real Analysis. Cambridge Uni­ versity Press. Ellickson, Bryan [1993]: Competitive Equilibrium: Theory and Applica­ tions. Cambridge University Press. Fishburn, Peter C. [1970]: Utility Theory for Decision Making. New York: John Wiley & Sons. Gale, David [1960]: The Theory of Linear Economic Models. New York: McGraw-Hill. Gale, David, and A. Mas-Colell [1975]: 'An Equilibrium Existence The­ orem for a General Model Without Ordered Preferences,' Journal of Math­ ematical Economics; 2, 9-15. Green, Jerry, and W. P. Heller [1981]: 'Mathematical Analysis and Con­ vexity with Applications to Economics,' in: Arrow, Kenneth J., and M. D. Intriligator, eds: Handbook of Mathematical Economics, Vol. 1 (North­ Holland), Chapter 1, pp. 15-52. Halmos, Paul R. [1982]: A Hilbert Space Problem Book, 2nd edition. Springer-Verlag. Heller, Walter P. [1972]: 'Transactions with Set-Up Costs, Journal of Economic Theory; 4, 465-78. Hildenbrand, Werner [1974]: Core and Equilibria of a Large Economy. Princeton University Press. Hildenbrand, Werner, and A. P. Kirman [1976]: Introduction to Equilib­ rium Analysis. North-Holland. Hildenbrand, Werner, and A. P. Kirman [1988]: Equilibrium Analysis. North-Holland. 332 BIBLIOGRAPHY Hildenbrand, Werner, and H. Sonnenschein, eds. [1991]: Handbook of Mathematical Economics, Volume IV. North-Holland. Hocking, John G., and G. S. Young [1961]: Topology. Addison-Wesley. Hu, Shouchuan, and N. S. Papageorgiou [1997]: Handbook of Multivalued Analysis. Volume I: Theory. Kluwer Academic Publishers. Hurwicz, Leonid [1960]: 'Optimality and Informational Efficiency in Re­ source Allocation Processes,' in: Arrow, Kenneth J., S. Karlin, and P. Sup­ pes, eds: Mathematical Methods in the Social Sciences, 1959. Stanford University Press. Hurwicz, Leonid [1972]: 'On Informationally Decentralized Systems,' in: McGuire, C. B., and R. Radner, eds: Decision and Organization: A volume in Honor of Jacob Marschak. North-Holland. Hurwicz, Leonid [1986]: 'Incentive Aspects of Decentralization,' pp. 1441-1482, in: Arrow and Intriligator [1986]. Hurwicz, Leonid, and M. Majumdar [1988]: 'Optimal Intertemporal Al­ location Mechanisms and Decentralization of Decisions,' Journal of Eco­ nomic Theory; 45; 228-61. Jacobsen, Stephen E. [1968]: Production Correspondences, Ph.D. Thesis, University of California, Berkeley. Jacobsen, Stephen E. [1970]: 'Production Correspondences,' Economet­ rica; 38; 754-71. Jacobsen, Stephen E. [1972]: 'On Shephard's Duality Theorem,' Journal of Economic Theory; 4, 458-64. Jones, Larry E. [1992]: 'Equilibrium in Competitive, Infinite Dimen­ sional, Settings;' Chapter 7, pp. 413-43, in Laffont [1992]' Vol. II. Kelley, John L. [1955]: General Topology. van Nostrand. Klein, Erwin, and A. C. Thompson [1984]: Theory of Correspondences: Including Applications to Mathematical Economics. Wiley. Komiya, Hidetoshi [1994]: 'A Simple Proof of the K-K-M-S Theorem,' Economic Theory; 4, 463-66. Koopmans, TjalJing C. [1957]: Three Essays on the State of Economic Science (I. 'Allocation of Resources and the Price System'). McGraw-Hill. Koopmans, TjalJing C., and A. F. Bausch [1959]: 'Selected Topics in Economics Involving Mathematical Rasoning,' SIAM Review; 1; 79-128. Krasa, Stefan, and N. C. Yannelis [1994]: 'An Elementary Proof of the Knaster-Kuratowski-Mazurkiewicz-Shapley Theorem,' Economic Theory; 4, 467-71. Kuratowski, C. [1932]: Fund. Math.; Laffont, Jean-Jacques, ed.[1992]: Advances in Economic Theory: Sixth World Congress (2 volumes). Cambridge University Press. Lang, Karl R., J. C. Moore, and A. B. Whinston [1995]: 'Computational Systems for Qualitative Economics,' Computational Economics; 8, 1-26. Luce, R. Duncan [1956]: 'Semiorders and a Theory of Utility Discrimi­ nation,' Econometrica; 24, 178-91. BIBLIOGRAPHY 333 Majumdar,