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A foundation of location theory: existence of equilibrium, the welfare theorems, and core

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  • Berliant, Marcus
  • Dunz, Karl

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  • Berliant, Marcus & Dunz, Karl, 2004. "A foundation of location theory: existence of equilibrium, the welfare theorems, and core," Journal of Mathematical Economics, Elsevier, vol. 40(5), pages 593-618, August.
    • Handle: RePEc:eee:mateco:v:40:y:2004:i:5:p:593-618
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    1. Berliant, Marcus & ten Raa, Thijs, 1991. "On the continuum approach of spatial and some local public goods or product differentiation models: Some problems," Journal of Economic Theory, Elsevier, vol. 55(1), pages 95-120, October.
    2. Berliant, Marcus & Papageorgiou, Yorgos Y. & Wang, Ping, 1990. "On welfare theory and urban economics," Regional Science and Urban Economics, Elsevier, vol. 20(2), pages 245-261, September.
    3. Abdel-Rahman, Hesham M., 1990. "Agglomeration economies, types, and sizes of cities," Journal of Urban Economics, Elsevier, vol. 27(1), pages 25-45, January.
    4. Krugman, Paul, 1991. "Increasing Returns and Economic Geography," Journal of Political Economy, University of Chicago Press, vol. 99(3), pages 483-499, June.
    5. Mas-Colell, Andreu, 1986. "The Price Equilibrium Existence Problem in Topological Vector Lattice s," Econometrica, Econometric Society, vol. 54(5), pages 1039-1053, September.
    6. Ten Raa, Thijs & Berliant, Marcus, 1985. "General competitive equilibrium of the spatial economy : Two Teasers," Regional Science and Urban Economics, Elsevier, vol. 15(4), pages 585-590, November.
    7. Berliant, Marcus & ten Raa, Thijs, 2003. "Increasing returns and perfect competition: the role of land," Journal of Urban Economics, Elsevier, vol. 54(2), pages 339-367, September.
    8. Abdel-Rahman, H. M., 1988. "Product differentiation, monopolistic competition and city size," Regional Science and Urban Economics, Elsevier, vol. 18(1), pages 69-86, February.
    9. Roth, Alvin E, 1984. "Stability and Polarization of Interests in Job Matching," Econometrica, Econometric Society, vol. 52(1), pages 47-57, January.
    10. Asami, Y. & Fujita, M. & Smith, T. E., 1991. "On the foundations of land use theory : Discrete versus continuous populations," Regional Science and Urban Economics, Elsevier, vol. 20(4), pages 473-508, February.
    11. Zame, William R, 1987. "Competitive Equilibria in Production Economies with an Infinite-Dimensional Commodity Space," Econometrica, Econometric Society, vol. 55(5), pages 1075-1108, September.
    12. Berliant, Marcus & Fujita, Masahisa, 1992. "Alonso's Discrete Population Model of Land Use: Efficient Allocations and Competitive Equilibria," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 33(3), pages 535-566, August.
    13. 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.
    14. Kelso, Alexander S, Jr & Crawford, Vincent P, 1982. "Job Matching, Coalition Formation, and Gross Substitutes," Econometrica, Econometric Society, vol. 50(6), pages 1483-1504, November.
    15. Berliant, Marcus & Dunz, Karl, 1995. "Existence of equilibrium with nonconvexities and finitely many agents," Journal of Mathematical Economics, Elsevier, vol. 24(1), pages 83-93.
    16. Shapley, Lloyd & Scarf, Herbert, 1974. "On cores and indivisibility," Journal of Mathematical Economics, Elsevier, vol. 1(1), pages 23-37, March.
    17. Berliant, Marcus, 1984. "A characterization of the demand for land," Journal of Economic Theory, Elsevier, vol. 33(2), pages 289-300, August.
    18. Gul, Faruk & Stacchetti, Ennio, 1999. "Walrasian Equilibrium with Gross Substitutes," Journal of Economic Theory, Elsevier, vol. 87(1), pages 95-124, July.
    19. Berliant, Marcus & Thomson, William & Dunz, Karl, 1992. "On the fair division of a heterogeneous commodity," Journal of Mathematical Economics, Elsevier, vol. 21(3), pages 201-216.
    20. Berliant, Marcus, 1985. "Equilibrium models with land : A criticism and an alternative," Regional Science and Urban Economics, Elsevier, vol. 15(2), pages 325-340, June.
    21. Berliant, Marcus, 1985. "An equilibrium existence result for an economy with land," Journal of Mathematical Economics, Elsevier, vol. 14(1), pages 53-56, February.
    22. Berliant, Marcus & Wang, Ping, 1993. "Endogenous formation of a city without agglomerative externalities or market imperfections : Marketplaces in a regional economy," Regional Science and Urban Economics, Elsevier, vol. 23(1), pages 121-144, March.
    23. Beckmann, Martin J., 1969. "On the distribution of urban rent and residential density," Journal of Economic Theory, Elsevier, vol. 1(1), pages 60-67, June.
    24. Berliant, Marcus & Jeng, Hou-Wen, 1990. "Supply and Equilibrium in an Economy with Land and Production," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 31(4), pages 799-828, November.
    25. Berliant, Marcus & Raa, Thijs ten, 1988. "A foundation of location theory: Consumer preferences and demand," Journal of Economic Theory, Elsevier, vol. 44(2), pages 336-353, April.
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    Cited by:

    1. Marco LiCalzi & Antonio Nicolò, 2009. "Efficient egalitarian equivalent allocations over a single good," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 40(1), pages 27-45, July.
    2. Marcus Berliant & Yves Zenou, 2014. "Labor Differentiation and Agglomeration in General Equilibrium," International Regional Science Review, , vol. 37(1), pages 36-65, January.
    3. Husseinov, Farhad, 2011. "A theory of a heterogeneous divisible commodity exchange economy," Journal of Mathematical Economics, Elsevier, vol. 47(1), pages 54-59, January.
    4. Dall'Aglio, M. & Brânzei, R. & Tijs, S.H., 2008. "Cooperation in Dividing the Cake," Discussion Paper 2008-101, Tilburg University, Center for Economic Research.
    5. Segal-Halevi, Erel & Nitzan, Shmuel & Hassidim, Avinatan & Aumann, Yonatan, 2017. "Fair and square: Cake-cutting in two dimensions," Journal of Mathematical Economics, Elsevier, vol. 70(C), pages 1-28.
    6. Erel Segal-Halevi & Shmuel Nitzan & Avinatan Hassidim & Yonatan Aumann, 2020. "Envy-Free Division of Land," Mathematics of Operations Research, INFORMS, vol. 45(3), pages 896-922, August.
    7. Shu, Hui & Xiong, Ping-ping, 2019. "Reallocation planning of urban industrial land for structure optimization and emission reduction: A practical analysis of urban agglomeration in China’s Yangtze River Delta," Land Use Policy, Elsevier, vol. 81(C), pages 604-623.
    8. Dall'Aglio, M. & Brânzei, R. & Tijs, S.H., 2008. "Cooperation in Dividing the Cake," Other publications TiSEM cc8598f8-1be5-46d7-b91d-1, Tilburg University, School of Economics and Management.
    9. Dall'Aglio, Marco & Maccheroni, Fabio, 2009. "Disputed lands," Games and Economic Behavior, Elsevier, vol. 66(1), pages 57-77, May.
    10. SEGAL-HALEVI, Erel & NITZAN, Shmuel, 2018. "Fair Cake-Cutting among Families," Discussion paper series HIAS-E-79, Hitotsubashi Institute for Advanced Study, Hitotsubashi University.
    11. Erel Segal-Halevi & Shmuel Nitzan, 2019. "Fair cake-cutting among families," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 53(4), pages 709-740, December.
    12. Kono, Tatsuhito & Kishi, Akio, 2018. "What is an appropriate welfare measure for efficiency of local public policies inducing migration?," Mathematical Social Sciences, Elsevier, vol. 91(C), pages 25-35.

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