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Volumn 29, Issue 3, 1998, Pages 285-302

Unified treatment of the problem of existence of maximal elements in binary relations: A characterization

Author keywords

Abstract convexity; D.11; Existence of maximal elements; Fixed point

Indexed keywords


EID: 0000291372     PISSN: 03044068     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0304-4068(97)00024-4     Document Type: Article
Times cited : (16)

References (13)
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  • 4
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    • A generalization of Tychonoff's fixed point theorem
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    • Fan, K.1
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    • Axiomatic convexity theory and relationships between the Caratheodory, Helly and Radon numbers
    • Kay D.C., Womble E.W. Axiomatic convexity theory and relationships between the Caratheodory, Helly and Radon numbers. Pacific J. Mathematics. 38(2):1971;471-485.
    • (1971) Pacific J. Mathematics , vol.38 , Issue.2 , pp. 471-485
    • Kay, D.C.1    Womble, E.W.2
  • 6
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  • 7
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    • Demand Theory without transitive preferences with applications to the theory of competitive equilibrium
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    • Sonnenschein, H., 1971. Demand Theory without transitive preferences with applications to the theory of competitive equilibrium. In: Chipman, J.S., Hurwicz, L., Richter, M.K., Sonnenschein, H.F. (Eds.), Preferences Utility and Demand, Chap. 10. New York Harcourt Brace Jovanovich.
    • (1971) Preferences Utility and Demand, Chap. 10
    • Sonnenschein, H.1
  • 8
    • 0002878348 scopus 로고
    • Quasi-equilibria in markets with non-convex preferences
    • Starr R.M. Quasi-equilibria in markets with non-convex preferences. Econometrica. 37:1969;25-38.
    • (1969) Econometrica , vol.37 , pp. 25-38
    • Starr, R.M.1
  • 9
    • 0001264829 scopus 로고
    • Fixed point theorems in H-spaces and equilibrium points of abstract economies
    • Tarafdar E. Fixed point theorems in H-spaces and equilibrium points of abstract economies. J. Austral. Math. Soc., Ser. A. 53:1992;252-260.
    • (1992) J. Austral. Math. Soc., Ser. a , vol.53 , pp. 252-260
    • Tarafdar, E.1
  • 10
    • 0011417745 scopus 로고
    • Necessary and sufficient conditions for maximization of a class of preference relations
    • Tian G. Necessary and sufficient conditions for maximization of a class of preference relations. Rev. Economic Studies. 60:1993;949-958.
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    • Tian, G.1
  • 11
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    • Operator Theorems with Applications to Distributive Problems and Equilibrium Problems
    • Springer, Berlin
    • Villar, A., 1992. Operator Theorems with Applications to Distributive Problems and Equilibrium Problems. Lecture Notes in Economics and Mathematical Systems, No. 377. Springer, Berlin.
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    • Villar, A.1
  • 12
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    • On the existence of maximal elements
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    • Walker, M.1
  • 13
    • 48749143131 scopus 로고
    • Existence of maximal elements and equilibria in linear topological spaces
    • Yannelis N., Prabhakar N. Existence of maximal elements and equilibria in linear topological spaces. J. Mathematical Economics. 12:1983;233-245.
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    • Yannelis, N.1    Prabhakar, N.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.