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Equilibrium and optimality: Some imprints of David Gale

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  • Majumdar, Mukul
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    Abstract

    The paper is a review of some of the themes to which David Gale made lasting contributions. It touches upon a number of the fundamental issues in the Walrasian equilibrium theory (existence, uniqueness and stability), the overlapping generations model (non-optimality and indeterminacy of competitive equilibria), the von Neumann equilibrium (as a turnpike), and in the theory of decentralized intertemporal allocation through competitive prices (efficiency and golden rules, duality and existence of optimal programs).

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    File URL: http://www.sciencedirect.com/science/article/B6WFW-4W6YDTW-1/2/8a98ab64dea57ccbc34b9363d91be627
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    Bibliographic Info

    Article provided by Elsevier in its journal Games and Economic Behavior.

    Volume (Year): 66 (2009)
    Issue (Month): 2 (July)
    Pages: 607-626

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    Handle: RePEc:eee:gamebe:v:66:y:2009:i:2:p:607-626

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    Web page: http://www.elsevier.com/locate/inca/622836

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    References

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    Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
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    1. L. W. McKenzie, 2010. "Turnpike Theory," Levine's Working Paper Archive 1389, David K. Levine.
    2. Mitra, Tapan, 1979. "On the Value Maximizing Property of Infinite Horizon Efficient Programs," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 20(3), pages 635-42, October.
    3. Cass, David, 1972. "On capital overaccumulation in the aggregative, neoclassical model of economic growth: A complete characterization," Journal of Economic Theory, Elsevier, vol. 4(2), pages 200-223, April.
    4. Bhagwati, Jagdish N & Brecher, Richard A & Hatta, Tatsuo, 1983. "The Generalized Theory of Transfers and Welfare: Bilateral Transfers in a Multilateral World," American Economic Review, American Economic Association, vol. 73(4), pages 606-18, September.
    5. Mill, John Stuart, 1848. "Principles of Political Economy (III): Exchange," History of Economic Thought Books, McMaster University Archive for the History of Economic Thought, volume 3, number mill1848-3.
    6. Gale, David, 1973. "Pure exchange equilibrium of dynamic economic models," Journal of Economic Theory, Elsevier, vol. 6(1), pages 12-36, February.
    7. Bhattacharya,Rabi & Majumdar,Mukul, 2007. "Random Dynamical Systems," Cambridge Books, Cambridge University Press, number 9780521825658, October.
    8. Grandmont Jean-michel, 1983. "On endogenous competitive business cycles," CEPREMAP Working Papers (Couverture Orange) 8316, CEPREMAP.
    9. Mitra, Tapan & Majumdar, Mukul, 1976. "A note on the role of the transversality condition in signalling capital overaccumulation," Journal of Economic Theory, Elsevier, vol. 13(1), pages 47-57, August.
    10. Mill, John Stuart, 1848. "Principles of Political Economy (II): Distribution," History of Economic Thought Books, McMaster University Archive for the History of Economic Thought, volume 2, number mill1848-2.
    11. DEBREU, Gérard, . "Economies with a finite set of equilibria," CORE Discussion Papers RP -67, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    12. Aumann, R. J. & Peleg, B., 1974. "A note on Gale's example," Journal of Mathematical Economics, Elsevier, vol. 1(2), pages 209-211, August.
    13. Benveniste, Lawrence M., 1976. "Two notes on the malinvaud condition for efficiency of infinite horizon programs," Journal of Economic Theory, Elsevier, vol. 12(2), pages 338-346, April.
    14. Debreu, Gerard, 1974. "Excess demand functions," Journal of Mathematical Economics, Elsevier, vol. 1(1), pages 15-21, March.
    15. Hurwicz, Leonid & Majumdar, Mukul, 1988. "Optimal intertemporal allocation mechanisms and decentralization of decisions," Journal of Economic Theory, Elsevier, vol. 45(2), pages 228-261, August.
    16. Neuefeind, Wilhelm, 1980. "Notes on Existence of Equilibrium Proofs and the Boundary Behavior of Supply," Econometrica, Econometric Society, vol. 48(7), pages 1831-37, November.
    17. Gerard Debreu, 1956. "Market Equilibrium," Cowles Foundation Discussion Papers 10, Cowles Foundation for Research in Economics, Yale University.
    18. Benhabib, Jess & Day, Richard H., 1982. "A characterization of erratic dynamics in, the overlapping generations model," Journal of Economic Dynamics and Control, Elsevier, vol. 4(1), pages 37-55, November.
    19. Brock, William A. & Gale, David, 1969. "Optimal growth under factor augmenting progress," Journal of Economic Theory, Elsevier, vol. 1(3), pages 229-243, October.
    20. McFadden, Daniel & Mitra, Tapan & Majumdar, Mukul, 1980. "Pareto optimality and competitive equilibrium in infinite horizon economies," Journal of Mathematical Economics, Elsevier, vol. 7(1), pages 1-26, March.
    21. Majumdar, Mukul, 1988. "Decentralization in infinite horizon economies: An introduction," Journal of Economic Theory, Elsevier, vol. 45(2), pages 217-227, August.
    22. Bhattacharya,Rabi & Majumdar,Mukul, 2007. "Random Dynamical Systems," Cambridge Books, Cambridge University Press, number 9780521532723, October.
    23. Saari, Donald G, 1985. "Iterative Price Mechanisms," Econometrica, Econometric Society, vol. 53(5), pages 1117-31, September.
    24. Gale, D. & Mas-Colell, A., 1975. "An equilibrium existence theorem for a general model without ordered preferences," Journal of Mathematical Economics, Elsevier, vol. 2(1), pages 9-15, March.
    25. Brock, W.A., 1990. "Overlapping generations models with money and transactions costs," Handbook of Monetary Economics, in: B. M. Friedman & F. H. Hahn (ed.), Handbook of Monetary Economics, edition 1, volume 1, chapter 7, pages 263-295 Elsevier.
    26. Mill, John Stuart, 1848. "Principles of Political Economy (I): Production," History of Economic Thought Books, McMaster University Archive for the History of Economic Thought, volume 1, number mill1848-1.
    27. Bala, Venkatesh & Majumdar, Mukul, 1992. "Chaotic Tatonnement," Economic Theory, Springer, vol. 2(4), pages 437-45, October.
    28. Paul A. Samuelson, 1958. "An Exact Consumption-Loan Model of Interest with or without the Social Contrivance of Money," Journal of Political Economy, University of Chicago Press, vol. 66, pages 467.
    29. Benveniste, Lawrence M, 1986. "Pricing Optimal Distributions to Overlapping Generations: A Corollary to Efficiency Pricing [A Complete Characterization of Efficiency in a General Capital Accumulation Model]," Review of Economic Studies, Wiley Blackwell, vol. 53(2), pages 301-06, April.
    30. Gale, David, 1974. "Exchange equilibrium and coalitions : An example," Journal of Mathematical Economics, Elsevier, vol. 1(1), pages 63-66, March.
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