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A discrete fixed point theorem and its applications

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  • Iimura, Takuya
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    File URL: http://www.sciencedirect.com/science/article/B6VBY-488Y7M6-3/2/a82c85b54da742709ac801f7f0c0448f
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    Bibliographic Info

    Article provided by Elsevier in its journal Journal of Mathematical Economics.

    Volume (Year): 39 (2003)
    Issue (Month): 7 (September)
    Pages: 725-742

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    Handle: RePEc:eee:mateco:v:39:y:2003:i:7:p:725-742

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    Web page: http://www.elsevier.com/locate/jmateco

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    1. Danilov, Vladimir & Koshevoy, Gleb & Murota, Kazuo, 2001. "Discrete convexity and equilibria in economies with indivisible goods and money," Mathematical Social Sciences, Elsevier, vol. 41(3), pages 251-273, May.
    2. Starr, Ross M, 1969. "Quasi-Equilibria in Markets with Non-Convex Preferences," Econometrica, Econometric Society, vol. 37(1), pages 25-38, January.
    3. Carmen Bevia & Martine Quinzii & JosŽ A. Silva, . "Buying Several Indivisible Goods," Department of Economics 97-20, California Davis - Department of Economics.
    4. 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.
    5. Kaneko, Mamoru & Yamamoto, Yoshitsugu, 1986. "The existence and computation of competitive equilibria in markets with an indivisible commodity," Journal of Economic Theory, Elsevier, vol. 38(1), pages 118-136, February.
    6. Bikhchandani, Sushil & Mamer, John W., 1997. "Competitive Equilibrium in an Exchange Economy with Indivisibilities," Journal of Economic Theory, Elsevier, vol. 74(2), pages 385-413, June.
    7. Gul, Faruk & Stacchetti, Ennio, 1999. "Walrasian Equilibrium with Gross Substitutes," Journal of Economic Theory, Elsevier, vol. 87(1), pages 95-124, July.
    8. Emmerson, Richard D., 1972. "Optima and market equilibria with indivisible commodities," Journal of Economic Theory, Elsevier, vol. 5(2), pages 177-188, October.
    9. Dierker, Egbert, 1971. "Equilibrium Analysis of Exchange Economies with Indivisible Commodities," Econometrica, Econometric Society, vol. 39(6), pages 997-1008, November.
    10. Broome, John, 1972. "Approximate equilibrium in economies with indivisible commodities," Journal of Economic Theory, Elsevier, vol. 5(2), pages 224-249, October.
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    Cited by:
    1. Laan, G. van der & Talman, A.J.J. & Yang, Z.F., 2011. "Solving discrete systems of nonlinear equations," Open Access publications from Tilburg University urn:nbn:nl:ui:12-4839550, Tilburg University.
    2. Gerard van der Laan & Dolf Talman & Zaifu Yang, 2007. "Combinatorial Integer Labeling Theorems on Finite Sets with an Application to Discrete Systems of Nonlinear Equations," Tinbergen Institute Discussion Papers 07-084/1, Tinbergen Institute.
    3. Talman, A.J.J. & Yang, Z.F., 2009. "A discrete multivariate mean value theorem with applications," Open Access publications from Tilburg University urn:nbn:nl:ui:12-3129885, Tilburg University.
    4. Laan, G. van der & Talman, A.J.J. & Yang, Z.F., 2005. "Computing Integral Solutions of Complementarity Problems," Discussion Paper 2005-5, Tilburg University, Center for Economic Research.
    5. Gerard van der Laan & Dolf Talman & Zaifu Yang, 2005. "Solving Discrete Zero Point Problems with Vector Labeling," Tinbergen Institute Discussion Papers 05-106/1, Tinbergen Institute.
    6. Laan, G. van der & Talman, A.J.J. & Yang, Z.F., 2004. "Solving discrete zero point problems," Discussion Paper 2004-113, Tilburg University, Center for Economic Research.
    7. Iimura, Takuya & Murota, Kazuo & Tamura, Akihisa, 2005. "Discrete fixed point theorem reconsidered," Journal of Mathematical Economics, Elsevier, vol. 41(8), pages 1030-1036, December.

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