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Volumn 45, Issue 1, 2003, Pages 15-25

Consensus-halving via theorems of Borsuk-Ulam and Tucker

Author keywords

Borsuk Ulam theorem; Fair division; Tucker's lemma

Indexed keywords


EID: 0037298693     PISSN: 01654896     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0165-4896(02)00087-2     Document Type: Article
Times cited : (82)

References (23)
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  • 3
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    • Sharing a cake
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    • Austin, A.K.1
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    • 0012597326 scopus 로고
    • Aha! Insight. W.F. Freeman, New York
    • Gardner, M., 1978. Aha! Insight. W.F. Freeman, New York.
    • (1978)
    • Gardner, M.1
  • 12
    • 0036823698 scopus 로고    scopus 로고
    • Bidding for envy-freeness: A procedural approach to n-player fair division problems
    • Haake, C.J., Raith, M.G., Su, F.E., 2002. Bidding for envy-freeness: a procedural approach to n-player fair division problems. Social Choice and Welfare 19, 723-749.
    • (2002) Social Choice and Welfare , vol.19 , pp. 723-749
    • Haake, C.J.1    Raith, M.G.2    Su, F.E.3
  • 13
  • 14
    • 0012496049 scopus 로고    scopus 로고
    • Four-person envy-free chore division
    • Peterson, E., Su, F.E., 2002. Four-person envy-free chore division. Mathematics Magazine 75, 117-122.
    • (2002) Mathematics Magazine , vol.75 , pp. 117-122
    • Peterson, E.1    Su, F.E.2
  • 16
    • 0012594505 scopus 로고
    • Some additional thoughts on post-settlement settlements
    • Roth, A.E., 1985. Some additional thoughts on post-settlement settlements. Negotiation Journal 1, 245-247.
    • (1985) Negotiation Journal , vol.1 , pp. 245-247
    • Roth, A.E.1
  • 18
    • 0000862256 scopus 로고
    • The problem of fair division
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    • Steinhaus, H.1
  • 19
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    • Rental harmony: Sperner's lemma in fair division
    • Su, F.E., 1999. Rental harmony: Sperner's lemma in fair division. American Mathematical Monthly 106, 930-942.
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    • Su, F.E.1
  • 21
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    • Some topological properties of the disk and sphere Proceedings of the First Canadian Math
    • Congress, Montreal
    • Tucker, A.W., 1945. Some topological properties of the disk and sphere. In: Proceedings of the First Canadian Math. Congress, Montreal, pp. 285-309.
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    • Tucker, A.W.1
  • 23
    • 0036002704 scopus 로고    scopus 로고
    • Generalized Kneser coloring theorems with combinatorial proofs
    • Ziegler, G.M., 2002. Generalized Kneser coloring theorems with combinatorial proofs. Inventiones Math. 147, 671-691.
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    • Ziegler, G.M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.