Abstract
With the concept of security-spot market or security market with measurable space of agents, which was first given by Zhang (1998, 2000), we continue to discuss the existence of equilibrium in such large economies. Under common conditions, we have claimed the existence of equilibrium in incomplete security-spot market with a continuum of traders. Because of the development from complete market to incomplete market, we have not only generalized Aumann’s results in 1966, but also achieved a breakthrough on researching methods.
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References
Guosheng Zhang and Peng Wang, Spot-financial market with large characteristics, Systems Engineering-Theory &Practice (in Chinese), 2000, 20(3): 39–45.
Guosheng Zhang, On large financial market, Mathematics in Economics, 1998, 15(3): 1–6.
W. Hildenbrand, Core and Equilibria of a Large Economy, Princeton University Press, Princeton, 1974.
R. J. Aumann, Existence of competitive equilibria in market with a continuum of traders, Econometrica, 1966, 34(1): 1–17.
D. Duffie, Dynamic Asset Pricing Theory (Second Edition), Princeton University Press, Princeton, 1996.
D. Duffie, The theory of value in security markets, in Handbook of Mathematical Economics (ed. by W. Hildenbrand and H. Sonnenschein), North Holland, New York, 1991, Vol. 4, 1615–1682.
R. Radner, Existence of equilibrium of plans, prices, and price expectations in a sequence of market, Econometrica, 1972, 40(2): 289–302.
O. D. Hart, On the optimality of equilibrium when the market structure is incomplete, Journal of Economic Theory, 1975, 11(3): 418–443.
R. J. Aumann, Market with a continuum of traders, Econometrica, 1964, 32(1–2): 39–50.
O. D. Hart, On the existence of equilibrium in a securities model, Journal of Economic Theory, 1974, 9(3): 293–311.
W. Neuefeind, Non-convexities and Decentralization in General Equilibrium Analysis, Habilitationsschrift University, Bonn, 1977.
G. Debreu, Existence of competitive equilibrium, in Handbook of Mathematical Economics (ed. by K. Arrow and M.Intriligator), North Holland, New York, 1982, Vol. 2, 697–743.
D. Duffie and W. Shafer, Equilibrium in incomplete market I: A basic model of generic existence, Journal of Mathematical Economics, 1985, 14(12): 285–300.
D. Duffie and W. Shafer, Equilibrium in incomplete market II: Generic existence in stochastic economies, Journal of Mathematical Economics, 1986, 15(6): 199–216.
K. Arrow and G. Debreu, Existence of an equilibrium for a competitive economy, Econometrica, 1954, 22(1): 265–290.
N. C. Yannelis, On the upper and lower semicontinuity of the Aumann integral, Journal of Mathematical Economics, 1990, 19(7): 373–389.
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The research is supported by Funding Project for Academic Human Resources Development in Institutions of Higher Learning Under the Jourisdiction of Beijing Municipality.
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Zhang, G. Existence of Competitive Equilibrium of Large Security-Spot Market with Incomplete Asset Structure. Jrl Syst Sci & Complex 20, 386–396 (2007). https://doi.org/10.1007/s11424-007-9034-1
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DOI: https://doi.org/10.1007/s11424-007-9034-1