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Continuous representability of homothetic preferences by means of homogeneous utility functions

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  • Bosi, Gianni
  • Candeal, Juan Carlos
  • Indurain, Esteban

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  • 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.
  • Handle: RePEc:eee:mateco:v:33:y:2000:i:3:p:291-298
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    References listed on IDEAS

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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. 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.
    3. Aczel, Janos & Moszner, Zenon, 1994. "New results on 'scale' and 'size' arguments justifying invariance properties of empirical indices and laws," Mathematical Social Sciences, Elsevier, vol. 28(1), pages 3-33, August.
    4. Chipman, John S., 1974. "Homothetic preferences and aggregation," Journal of Economic Theory, Elsevier, vol. 8(1), pages 26-38, May.
    5. Candeal, J. C. & Indurain, E., 1995. "Homothetic and weakly homothetic preferences," Journal of Mathematical Economics, Elsevier, vol. 24(2), pages 147-158.
    6. 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.
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    Cited by:

    1. J. C. R. Alcantud & G. Bosi & C. Rodríguez-Palmero & M. Zuanon, 2003. "The relationship between Mathematical Utility Theory and the Integrability Problem: some arguments in favour," Microeconomics 0308002, University Library of Munich, Germany.
    2. Marco Mariotti & Roberto Veneziani, 2018. "Opportunities as Chances: Maximising the Probability that Everybody Succeeds," Economic Journal, Royal Economic Society, vol. 128(611), pages 1609-1633, June.
    3. Claudio Zoli, 2012. "Characterizing Inequality Equivalence Criteria," Working Papers 32/2012, University of Verona, Department of Economics.
    4. Marc Le Menestrel & Bertrand Lemaire, 2004. "Biased quantitative measurement of interval ordered homothetic preferences," Economics Working Papers 789, Department of Economics and Business, Universitat Pompeu Fabra.
    5. Miyake, Mitsunobu, 2016. "Logarithmically homogeneous preferences," Journal of Mathematical Economics, Elsevier, vol. 67(C), pages 1-9.
    6. 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.
    7. Claudia Meo, 2015. "Cooperative Solutions for Large Economies with Asymmetric Information," Metroeconomica, Wiley Blackwell, vol. 66(1), pages 71-90, February.
    8. Juan Candeal, 2012. "Subgroup independence conditions on preferences," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 39(4), pages 847-853, October.
    9. 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.
    10. Gianni Bosi, 2002. "Semicontinuous Representability of Homothetic Interval Orders by Means of Two Homogeneous Functionals," Theory and Decision, Springer, vol. 52(4), pages 303-312, June.

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