COMPETITIVE EQUILIBRIA IN MARKETS WITH A CONTINUUM OF TRADERS AND INCOMPLETE PREFERENCES.
HEBREW UNIV JERUSALEM (ISRAEL) DEPT OF MATHEMATICS
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It is shown that a market with a continuum of traders possesses a competitive equilibrium even when the preferences are not complete. This generalizes further a result of Aumann, Econometrica 32 39-50 1964 34 1-171966 who showed that the convexity assumption may be dispensed within the presence of a continuum of traders. The proof is inspired by the Arrow-Debreu Econometrica 22 265-2901954 proof for the finite case. Author
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