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Continuous representability of homothetic preorders by means of sublinear order-preserving functions

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  • Bosi, Gianni
  • Zuanon, Magali E.

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  • Bosi, Gianni & Zuanon, Magali E., 2003. "Continuous representability of homothetic preorders by means of sublinear order-preserving functions," Mathematical Social Sciences, Elsevier, vol. 45(3), pages 333-341, July.
    • Handle: RePEc:eee:matsoc:v:45:y:2003:i:3:p:333-341
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    1. Dow, James & da Costa Werlang, Sergio Ribeiro, 1992. "Homothetic preferences," Journal of Mathematical Economics, Elsevier, vol. 21(4), pages 389-394.
    2. Herden, G., 1989. "On the existence of utility functions," Mathematical Social Sciences, Elsevier, vol. 17(3), pages 297-313, June.
    3. Gianni Bosi, 1998. "A note on the existence of continuous representationsof homothetic preferences on a topological vector space," Annals of Operations Research, Springer, vol. 80(0), pages 263-268, January.
    4. Yaari, Menahem E, 1987. "The Dual Theory of Choice under Risk," Econometrica, Econometric Society, vol. 55(1), pages 95-115, January.
    5. Herden, G., 1989. "On the existence of utility functions ii," Mathematical Social Sciences, Elsevier, vol. 18(2), pages 107-117, October.
    6. Chateauneuf, Alain, 1996. "Decomposable capacities, distorted probabilities and concave capacities," Mathematical Social Sciences, Elsevier, vol. 31(1), pages 19-37, February.
    7. Bultel, Dirk, 2001. "Continuous linear utility for preferences on convex sets in normed real vector spaces," Mathematical Social Sciences, Elsevier, vol. 42(1), pages 89-98, July.
    8. Neuefeind, Wilhelm & Trockel, Walter, 1995. "Continuous Linear Representability of Binary Relations," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 6(2), pages 351-356, July.
    9. Wang, Shaun S. & Young, Virginia R., 1998. "Ordering risks: Expected utility theory versus Yaari's dual theory of risk," Insurance: Mathematics and Economics, Elsevier, vol. 22(2), pages 145-161, June.
    10. Bosi, Gianni & Candeal, Juan Carlos & Indurain, Esteban, 2000. "Continuous representability of homothetic preferences by means of homogeneous utility functions," Journal of Mathematical Economics, Elsevier, vol. 33(3), pages 291-298, April.
    11. Bosi, G. & Mehta, G. B., 2002. "Existence of a semicontinuous or continuous utility function: a unified approach and an elementary proof," Journal of Mathematical Economics, Elsevier, vol. 38(3), pages 311-328, November.
    12. Fabio Maccheroni, 2001. "Homothetic preferences on star-shaped sets," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 24(1), pages 41-47, May.
    13. Allevi, E. & Zuanon, M.E., 2000. "Representation of preference orderings on totally ordered semigroups," Pure Mathematics and Applications, Department of Mathematics, Corvinus University of Budapest, vol. 11(1), pages 13-21.
    14. Rothschild, Michael & Stiglitz, Joseph E., 1970. "Increasing risk: I. A definition," Journal of Economic Theory, Elsevier, vol. 2(3), pages 225-243, September.
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    Cited by:

    1. Gianni Bosi & Magalì Zuanon, 2012. "A note on the axiomatization of Wang premium principle by means of continuity considerations," Economics Bulletin, AccessEcon, vol. 32(4), pages 3158-3165.
    2. Bosi, Gianni & Campion, Maria J. & Candeal, Juan C. & Indurain, Esteban & Zuanon, Magali E., 2007. "Isotonies on ordered cones through the concept of a decreasing scale," Mathematical Social Sciences, Elsevier, vol. 54(2), pages 115-127, September.

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