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Utility functions on locally connected spaces

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  • Candeal, Juan C.
  • Indurain, Esteban
  • Mehta, Ghanshyam B.

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  • Candeal, Juan C. & Indurain, Esteban & Mehta, Ghanshyam B., 2004. "Utility functions on locally connected spaces," Journal of Mathematical Economics, Elsevier, vol. 40(6), pages 701-711, September.
    • Handle: RePEc:eee:mateco:v:40:y:2004:i:6:p:701-711
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    References listed on IDEAS

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    1. Herden, G., 1991. "Topological spaces for which every continuous total preorder can be represented by a continuous utility function," Mathematical Social Sciences, Elsevier, vol. 22(2), pages 123-136, October.
    2. Mehta, Ghanshyam, 1988. "Some general theorems on the existence of order-preserving functions," Mathematical Social Sciences, Elsevier, vol. 15(2), pages 135-143, April.
    3. Mas-Colell,Andreu, 1990. "The Theory of General Economic Equilibrium," Cambridge Books, Cambridge University Press, number 9780521388702.
    4. Candeal, J. C. & Indurain, E., 1993. "Utility functions on chains," Journal of Mathematical Economics, Elsevier, vol. 22(2), pages 161-168.
    5. Blackorby, Charles & Bossert, Walter & Donaldson, David, 2001. "Population ethics and the existence of value functions," Journal of Public Economics, Elsevier, vol. 82(2), pages 301-308, November.
    6. Candeal, Juan C. & Herves, Carlos & Indurain, Esteban, 1998. "Some results on representation and extension of preferences," Journal of Mathematical Economics, Elsevier, vol. 29(1), pages 75-81, January.
    7. Candeal, Juan C. & Indurain, Esteban & Mehta, Ghanshyam B., 1996. "Further remarks on totally ordered representable subsets of Euclidean space," Journal of Mathematical Economics, Elsevier, vol. 25(4), pages 381-390.
    8. Peter C. Fishburn, 1974. "Exceptional Paper--Lexicographic Orders, Utilities and Decision Rules: A Survey," Management Science, INFORMS, vol. 20(11), pages 1442-1471, July.
    9. Monteiro, Paulo Klinger, 1987. "Some results on the existence of utility functions on path connected spaces," Journal of Mathematical Economics, Elsevier, vol. 16(2), pages 147-156, April.
    10. Beardon, Alan F., 1994. "Totally ordered subsets of Euclidean space," Journal of Mathematical Economics, Elsevier, vol. 23(4), pages 391-393, July.
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    Cited by:

    1. Gori, Michele & Pianigiani, Giulio, 2010. "On the Arrow-Hahn utility representation method," Mathematical Social Sciences, Elsevier, vol. 59(3), pages 282-287, May.
    2. Gutiérrez, José Manuel, 2009. "A characterization of compactness through preferences," Mathematical Social Sciences, Elsevier, vol. 57(1), pages 131-133, January.
    3. Campion, Maria J. & Candeal, Juan C. & Indurain, Esteban, 2006. "The existence of utility functions for weakly continuous preferences on a Banach space," Mathematical Social Sciences, Elsevier, vol. 51(2), pages 227-237, March.
    4. Lawrence Carr, 2015. "Existence of continuous euclidean embeddings for a weak class of orders," Papers 1508.00607, arXiv.org, revised Jan 2021.
    5. Dino Borie, 2012. "Social Decision Theory and Non-strategic Behaviour," GREDEG Working Papers 2012-10, Groupe de REcherche en Droit, Economie, Gestion (GREDEG CNRS), Université Côte d'Azur, France.

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