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Consensus-halving via theorems of Borsuk-Ulam and Tucker

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  • Simmons, Forest W.
  • Su, Francis Edward

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  • Simmons, Forest W. & Su, Francis Edward, 2003. "Consensus-halving via theorems of Borsuk-Ulam and Tucker," Mathematical Social Sciences, Elsevier, vol. 45(1), pages 15-25, February.
    • Handle: RePEc:eee:matsoc:v:45:y:2003:i:1:p:15-25
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    References listed on IDEAS

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    1. Steven J. Brams & D. Marc Kilgour, 2001. "Competitive Fair Division," Journal of Political Economy, University of Chicago Press, vol. 109(2), pages 418-443, April.
    2. Claus-Jochen Haake & Matthias G. Raith & Francis Edward Su, 2002. "Bidding for envy-freeness: A procedural approach to n-player fair-division problems," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 19(4), pages 723-749.
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    Cited by:

    1. Erel Segal-Halevi & Warut Suksompong, 2023. "Cutting a Cake Fairly for Groups Revisited," Papers 2301.09061, arXiv.org.
    2. Xiaotie Deng & Qi Qi & Amin Saberi & Jie Zhang, 2011. "Discrete Fixed Points: Models, Complexities, and Applications," Mathematics of Operations Research, INFORMS, vol. 36(4), pages 636-652, November.
    3. Segal-Halevi, Erel & Sziklai, Balázs R., 2018. "Resource-monotonicity and population-monotonicity in connected cake-cutting," Mathematical Social Sciences, Elsevier, vol. 95(C), pages 19-30.
    4. Balazs Sziklai & Erel Segal-Halevi, 2015. "Resource-monotonicity and Population-monotonicity in Cake-cutting," CERS-IE WORKING PAPERS 1552, Institute of Economics, Centre for Economic and Regional Studies.
    5. Cloutier, John & Nyman, Kathryn L. & Su, Francis Edward, 2010. "Two-player envy-free multi-cake division," Mathematical Social Sciences, Elsevier, vol. 59(1), pages 26-37, January.
    6. Xiaotie Deng & Qi Qi & Amin Saberi, 2012. "Algorithmic Solutions for Envy-Free Cake Cutting," Operations Research, INFORMS, vol. 60(6), pages 1461-1476, December.
    7. Frédéric Meunier, 2008. "Discrete Splittings of the Necklace," Mathematics of Operations Research, INFORMS, vol. 33(3), pages 678-688, August.
    8. Chèze, Guillaume, 2017. "Existence of a simple and equitable fair division: A short proof," Mathematical Social Sciences, Elsevier, vol. 87(C), pages 92-93.

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