An Intersection Theorem on an Unbounded Set and Its Application to the Fair Allocation Problem
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DOI: 10.1023/A:1017587615488
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- Talman, A.J.J., 1991.
"Intersection theorems on the unit simplex and the simplotope,"
Other publications TiSEM
3d9e52e1-2498-49ac-928b-2, Tilburg University, School of Economics and Management.
- Talman, A.J.J., 1991. "Intersection Theorems on the Unit Simplex and the Simplotope," Papers 9159a, Tilburg - Center for Economic Research.
- Talman, A.J.J., 1991. "Intersection theorems on the unit simplex and the simplotope," Discussion Paper 1991-57, Tilburg University, Center for Economic Research.
- Talman, A.J.J., 1994. "Intersection theorems on the unit simplex and the simplotope," Other publications TiSEM ffced693-bede-4761-9208-e, Tilburg University, School of Economics and Management.
- Svensson, Lars-Gunnar, 1983. "Large Indivisibles: An Analysis with Respect to Price Equilibrium and Fairness," Econometrica, Econometric Society, vol. 51(4), pages 939-954, July.
- van der Laan, Gerard & Talman, Dolf & Yang, Zaifu, 1997.
"Existence of an equilibrium in a competitive economy with indivisibilities and money,"
Journal of Mathematical Economics, Elsevier, vol. 28(1), pages 101-109, August.
- van der Laan, G. & Talman, A.J.J. & Yang, Z.F., 1996. "Existence of an Equilibrium in a Competitive Economy with Indivisibilities and Money," Other publications TiSEM d6a39049-ea90-4a33-97c9-b, Tilburg University, School of Economics and Management.
- van der Laan, G. & Talman, A.J.J. & Yang, Z.F., 1997. "Existence of an equilibrium in a competitive economy with indivisibilities and money," Other publications TiSEM d8160f44-5f61-430b-9a31-e, Tilburg University, School of Economics and Management.
- van der Laan, G. & Talman, A.J.J. & Yang, Z.F., 1996. "Existence of an Equilibrium in a Competitive Economy with Indivisibilities and Money," Discussion Paper 1996-35, Tilburg University, Center for Economic Research.
- P. J. J. Herings & A. J. J. Talman, 1998.
"Intersection Theorems with a Continuum of Intersection Points,"
Journal of Optimization Theory and Applications, Springer, vol. 96(2), pages 311-335, February.
- Herings, P.J.J. & Talman, A.J.J., 1994. "Intersection theorems with a continuum of intersection points," Discussion Paper 1994-79, Tilburg University, Center for Economic Research.
- Herings, P.J.J. & Talman, A.J.J., 1994. "Intersection theorems with a continuum of intersection points," Other publications TiSEM e5aa3399-04ea-41c6-bd3b-0, Tilburg University, School of Economics and Management.
- Yang, Z.F., 1996. "Simplicial fixed point algorithms and applications," Other publications TiSEM 60fbb5f7-785c-4c91-8b84-5, Tilburg University, School of Economics and Management.
- Svensson, Lars-Gunnar, 1987. "Erratum [Large Indivisibles: An Analysis with Respect to Price Equilibrium and Fairness]," Econometrica, Econometric Society, vol. 55(2), pages 489-489, March.
- Zhou Lin, 1994. "A New Bargaining Set of an N-Person Game and Endogenous Coalition Formation," Games and Economic Behavior, Elsevier, vol. 6(3), pages 512-526, May.
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- P. J. J. Herings & G. A. Koshevoy & A. J. J. Talman & Z. Yang, 2004.
"General Existence Theorem of Zero Points,"
Journal of Optimization Theory and Applications, Springer, vol. 120(2), pages 375-394, February.
- Herings, P.J.J. & Koshevoy, G. & Talman, A.J.J. & Yang, Z., 2002. "A general existence theorem of zero points," Research Memorandum 049, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
- Herings, P.J.J. & Koshevoy, G.A. & Talman, A.J.J. & Yang, Z.F., 2002. "A General Existence Thorem of Zero Points," Discussion Paper 2002-107, Tilburg University, Center for Economic Research.
- Herings, P.J.J. & Koshevoy, G.A. & Talman, A.J.J. & Yang, Z.F., 2002. "A General Existence Thorem of Zero Points," Other publications TiSEM 30937f4a-2906-4b85-979c-a, Tilburg University, School of Economics and Management.
- Herings, P. Jean-Jacques & Koshevoy, Gleb A. & Talman, Dolf & Yang, Zaifu, 2017. "A general existence theorem of zero points," Center for Mathematical Economics Working Papers 343, Center for Mathematical Economics, Bielefeld University.
- Herings, P.J.J. & Koshevoy, G.A. & Talman, A.J.J. & Yang, Z.F., 2004. "A general existence theorem of zero points," Other publications TiSEM 2670fc3a-b991-4443-a8fb-3, Tilburg University, School of Economics and Management.
- Talman, A.J.J. & Yang, Z.F., 2004.
"The Computation of a Coincidence of Two Mappings,"
Other publications TiSEM
9fbcc219-da4d-4564-b4e3-6, Tilburg University, School of Economics and Management.
- Talman, A.J.J. & Yang, Z.F., 2004. "The Computation of a Coincidence of Two Mappings," Discussion Paper 2004-100, Tilburg University, Center for Economic Research.
- Ning Sun & Zaifu Yang, 2009. "Strategy Proof And Privacy Preserving Fair Allocation Mechanism," The Japanese Economic Review, Japanese Economic Association, vol. 60(2), pages 143-151, June.
- Sun, Ning & Yang, Zaifu, 2003.
"A general strategy proof fair allocation mechanism,"
Economics Letters, Elsevier, vol. 81(1), pages 73-79, October.
- Sun, Ning & Yang, Zaifu, 2017. "A general strategy proof fair allocation mechanism," Center for Mathematical Economics Working Papers 346, Center for Mathematical Economics, Bielefeld University.
- Talman, A.J.J. & Yang, Z.F., 2009. "A constructive proof of Ky Fan's coincidence theorem," Other publications TiSEM 9f92e51a-4229-4bbe-9a75-5, Tilburg University, School of Economics and Management.
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