Abstract
The purpose of this first section is to recall basic definitions and results concerning pure exchange economies with finitely many traders, cooperative games with finitely many players and the relationship between these two subjects.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Arrow, K. and G. Debreu (1954) “Existence of an equilibrium in a competitive economy”, Econometrica, 22, 265–290.
Arrow, K. and F. Hahn (1971) General Competitive Analysis, Holden-Day.
Aumann (1976) Lectures on General Equilibrium Theory, Stanford University, mimeo.
Debreu, G. (1952) “A social equilibrium existence theorem”, Proceedings of the National Academy of Sciences USA, 38, 886–893.
Debreu, G. (1959) Theory of Value, Wiley.
Debreu, G. (1982) “Existence of a competitive equilibrium”, Chapter 15 in Handbook of Mathematical Economics, Vol. II , Arrow K.J and M.D. Intriligator, eds., North Holland.
Dierker, E. (1972) Topological Methods in Wah’asian Economics, Springer.
Hildenbrand, W. (1974) Core and Equilibria of a Large Economy, Princeton University Press.
Hildenbrand, W. and A. P. Kirman (1988) Equilibrium Analysis: Variation on Themes by Edgeworth and Walras, North Holland.
Mc Kenzie L.W. (1954), “On equilibrium in Graham’s model of world trade and other competitive systems”, Econometrica, 22: 147–161.
Mc Kenzie L.W. (1954), “On the existence of general equilibrium for a competitive market”, Econometrica, 27: 54–71.
Mas-Colell, A. (1974), “An equilibrium existence theorem without complete or transitive preferences,”, Journal of Mathematical Economics, 1: 237–246.
Mas-Colell, A. (1985), “The Theory of General Economic Equilibrium”, A Differentiable Approach, Cambridge University Press.
Negishi, T. (1960), “Welfare economics and existence of an equilibrium for a competitive economy,”, Metroeconomica, 12: 92–97.
References
Anderson R.M. (1978) An elementary core equivalence theorem, Econometrica, 46, 1483–1487.
Aumann R.J. (1962) Markets with a continuum of traders I-IV, Economic Research Program, Princeton University Press, RM 39, 40, 56, 57.
Aumann R.J. (1964) Markets with a continuum of traders,Econometrica, 32, 39–50.
Aumann R.J. (1965) Integrals of set-valued functions,Journal of Mathematical Analysis and Applications, 12, 1–12.
Aumann R.J. (1966) Existence of competitive equilibria in markets with a continuum of traders,Econometrica, 34, 1–17.
Aumann R.J. (1976), Lectures on general equilibrium theory,mimeo, Stanford University.
Bewley T.F. (1973) The equality of the core and the set of equilibria in economies with infinitely many commodities and a continuum of traders,International Economic Review, 14, 383–394.
Debreu G. (1963) On a theorem of Scarf, The Review of Economic Studies, XXX, 177–180.
Debreu G. (1967) Preference functions on measure spaces of economics agents,Econometrica, 85, 111–122.
Debreu G. (1982) Existence of competitive equilibrium, Chapter 15 in Handbook of Mathematical Economics, vol II, Arrow K.J. and M.D. Intriligators eds, North Holland.
Debreu G. and Scarf H. (1963) A limit theorem on the core of an economy,International Economic Review, 4, 235–246.
Hildenbrand W. (1974) Core and Equilibria of Large Economies,Princeton University Press.
Hildenbrand W. (1982) Core of an Economy, Chapter 18 in Handbook of Mathematical Economies, vol II, Arrow K.J. and Intriligator M.D. eds, North-Holland.
Mas-Colell (1985) The Theory of General Equilibrium:A Differentiable Approach, Chapter 7, Cambridge University Press.
Rustichini A. and Yannelis N.C. (1991) Edgeworth’s conjecture in economies with a continuum of agents and commodities,Journal of Mathematical Economics, 20, 307–326.
Scarf H. (1962) An analysis of markets with a large number of participants, Recents Advances in Game Theory, Maschler M. ed. Princeton University Conference, 127–155.
Schmeidler D. (1969) Competitive equilibria in markets with a continuum of traders and incomplete preferences, Econometrica, 37, 578–585.
Schmeidler D. (1972) A remark on the core of an atomless economy,Econometrica, 40, 579–580.
Shubik M. (1959) Edgeworth market games,Contribution of the theory of games, IV, Annals of Mathematical Studies, 40, Princeton University Press, 267–278.
Vind K. (1964) Edgeworth-allocations in an exchange economy with many traders, International Economic Review, 5, 165–177.
Vind K. (1972) A third remark on the core of an atomless economy,Econometrica, 40, 585–586.
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1994 Springer Science+Business Media Dordrecht
About this chapter
Cite this chapter
Allen, B., Sorin, S. (1994). General Equilibrium and Cooperative Games: Basic Results. In: Mertens, JF., Sorin, S. (eds) Game-Theoretic Methods in General Equilibrium Analysis. NATO ASI Series, vol 77. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-1656-7_2
Download citation
DOI: https://doi.org/10.1007/978-94-017-1656-7_2
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-4442-6
Online ISBN: 978-94-017-1656-7
eBook Packages: Springer Book Archive