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Volumn 11, Issue 5, 1998, Pages 51-54

Remarks on a social equilibrium existence theorem of G. Debreu

Author keywords

Acyclic; Berge's theorem; Closed map; Equilibrium point; Lower semicontinuous (l.s.c.); Minimax theorem; Multimap (map); Nash equilibrium; Polyhedron; Saddle point; Upper semicontinuous (u.s.c.)

Indexed keywords


EID: 0041544097     PISSN: 08939659     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0893-9659(98)00079-2     Document Type: Article
Times cited : (9)

References (13)
  • 1
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    • A social equilibrium existence theorem
    • G. Debreu, A social equilibrium existence theorem, Proc. Nat. Acad. Sci. USA 38, 886-893, (1952); Mathematical Economics: Twenty Papers of Gerald Debreu, Chapter 2, Cambridge Univ. Press, Cambridge, (1983).
    • (1952) Proc. Nat. Acad. Sci. USA , vol.38 , pp. 886-893
    • Debreu, G.1
  • 2
    • 0006208078 scopus 로고
    • Chapter 2, Cambridge Univ. Press, Cambridge
    • G. Debreu, A social equilibrium existence theorem, Proc. Nat. Acad. Sci. USA 38, 886-893, (1952); Mathematical Economics: Twenty Papers of Gerald Debreu, Chapter 2, Cambridge Univ. Press, Cambridge, (1983).
    • (1983) Mathematical Economics: Twenty Papers of Gerald Debreu
  • 4
    • 0001388475 scopus 로고
    • Fixed point theorems for multi-valued transformations
    • S. Eilenberg and D. Montgomery, Fixed point theorems for multi-valued transformations, Amer. J. Math 68, 214-222, (1946).
    • (1946) Amer. J. Math , vol.68 , pp. 214-222
    • Eilenberg, S.1    Montgomery, D.2
  • 5
    • 0011512348 scopus 로고
    • A fixed point theorem
    • E.G. Begle, A fixed point theorem, Ann. Math. 51, 544-550, (1950).
    • (1950) Ann. Math. , vol.51 , pp. 544-550
    • Begle, E.G.1
  • 6
    • 85086705967 scopus 로고
    • Fixed point and minimax theorems in locally convex topological linear spaces
    • K. Fan, Fixed point and minimax theorems in locally convex topological linear spaces, Proc. Nat. Acad. Sci. USA 38, 121-126, (1952).
    • (1952) Proc. Nat. Acad. Sci. USA , vol.38 , pp. 121-126
    • Fan, K.1
  • 7
    • 21244466146 scopus 로고
    • Zur theorie der gesellschaftsspiele
    • J. von Neumann, Zur Theorie der Gesellschaftsspiele, Math. Ann. 100, 295-320, (1928).
    • (1928) Math. Ann. , vol.100 , pp. 295-320
    • Von Neumann, J.1
  • 8
    • 0002833794 scopus 로고
    • Über ein ökonomisches gleichungssystem und eine verallgemeinerung des brouwerschen fixpunktsatzes
    • J. von Neumann, Über ein ökonomisches Gleichungssystem und eine Verallgemeinerung des Brouwerschen Fixpunktsatzes, Ergebnisse eines Mathematischen Kolloquiums 8, 73-83, (1937); Rev. Economic Studies XIII (33), 1-9, (1945-46).
    • (1937) Ergebnisse Eines Mathematischen Kolloquiums , vol.8 , pp. 73-83
    • Von Neumann, J.1
  • 9
    • 0042504509 scopus 로고
    • J. von Neumann, Über ein ökonomisches Gleichungssystem und eine Verallgemeinerung des Brouwerschen Fixpunktsatzes, Ergebnisse eines Mathematischen Kolloquiums 8, 73-83, (1937); Rev. Economic Studies XIII (33), 1-9, (1945-46).
    • (1945) Rev. Economic Studies , vol.13 , Issue.33 , pp. 1-9
  • 10
    • 84950272002 scopus 로고
    • A generalization of Brouwer's fixed point theorem
    • S. Kakutani, A generalization of Brouwer's fixed point theorem, Duke Math. J. 8, 457-459, (1941).
    • (1941) Duke Math. J. , vol.8 , pp. 457-459
    • Kakutani, S.1
  • 11
    • 0002021736 scopus 로고
    • Equilibrium points in n-person games
    • J. Nash, Equilibrium points in n-person games, Proc. Nat. Acad. Sci. USA 36, 48-49, (1950).
    • (1950) Proc. Nat. Acad. Sci. USA , vol.36 , pp. 48-49
    • Nash, J.1
  • 12
    • 0001730497 scopus 로고
    • Non-cooperative games
    • J. Nash, Non-cooperative games, Ann. Math. 54, 286-295, (1951).
    • (1951) Ann. Math. , vol.54 , pp. 286-295
    • Nash, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.