Abstract
In the applications of equilibrium theory one occasionally encounters situations where consumption sets are naturally compact. Two examples are:
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(i)
fix-price equilibria where consumption is restricted to a given budget set and the equilibrating variables are ration-coupons prices (as in Drèze and Muller, 1980);
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(ii)
models where the choice variables are probability distributions on a fixed number of indivisible objects (as in Hylland and Zeckhauser, 1979).
Support from the National Science Foundation is gratefully acknowledged. Thanks are due to the referees and editor for helpful comments.
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References
Bergstrom, T. (1976) ‘How to Discard “Free Disposability” at no Cost’, Journal of Mathematical Economics, 3, pp. 131–4.
Debreu, G. (1959) Theory of Value (New York, Wiley).
Drèze, J. and H. Muller (1980) ‘Optimality Properties of Rationing Schemes’, Journal of Economic Theory, 23 (2) pp. 131–49.
Gale, D. and A. Mas-Colell (1975) ‘An Equilibrium Existence Theorem for a General Model without Ordered Preferences’, Journal of Mathematical Economics, 2, pp. 9–15.
Gale, D. and A. Mas-Colell (1979) ‘Corrections to an Equilibrium Existence Theorem for a General Model without Ordered Preferences’, Journal of Mathematical Economics, 6, pp. 297–8.
Hylland, A. and R. Zeckhauser (1979) ‘The Efficient Allocation of Individuals to Positions’, Journal of Political Economy, 87 (2) pp. 293–313.
Shafer, W. (1976) ‘Equilibrium in Economies without Ordered Preferences or Free Disposal’, Journal of Mathematical Economics, 3, pp. 135–7.
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© 1992 Mukul Majumdar
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Mas-Colell, A. (1992). Equilibrium Theory with Possibly Satiated Preferences. In: Majumdar, M. (eds) Equilibrium and Dynamics. Palgrave Macmillan, London. https://doi.org/10.1007/978-1-349-11696-6_9
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DOI: https://doi.org/10.1007/978-1-349-11696-6_9
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