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Prediction Markets to Forecast Electricity Demand

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  • Nabil I. Al-Najjar
  • Luciano De Castro
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    Abstract

    A preference is invariant with respect to a transformation tau if its ranking of acts is unaffected by a reshuffling of the states under tau. We show that any invariant preference must be parametric: there is a unique sufficient set of parameters such that the preference ranks acts according to their expected utility given the parameters. This property holds for all non-trivial preferences, provided only that they are reflexive, transitive, monotone, continuous and mixture linear.

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    File URL: http://kellogg.northwestern.edu/faculty/decastro/htm/personal/Parametric.pdf
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    Bibliographic Info

    Paper provided by Northwestern University, Center for Mathematical Studies in Economics and Management Science in its series Discussion Papers with number 1529.

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    Date of creation: 01 Oct 2010
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    Handle: RePEc:nwu:cmsems:1529

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    Postal: Center for Mathematical Studies in Economics and Management Science, Northwestern University, 580 Jacobs Center, 2001 Sheridan Road, Evanston, IL 60208-2014
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    Web page: http://www.kellogg.northwestern.edu/research/math/
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    1. Chew, Soo Hong & Sagi, Jacob S., 2008. "Small worlds: Modeling attitudes toward sources of uncertainty," Journal of Economic Theory, Elsevier, vol. 139(1), pages 1-24, March.
    2. Simon Grant & Ben Polak & Tomasz Strzalecki, 1969. "Second-Order Expected Utility," Working Paper 8340, Harvard University OpenScholar.
    3. Simone Cerreia-Vioglio & Fabio Maccheroni & Massimo Marinacci & Luigi Montrucchio, 2008. "Uncertainty Averse Preferences," Carlo Alberto Notebooks 77, Collegio Carlo Alberto.
    4. Larry G. Epstein & Kyoungwon Seo, 2008. "Symmetry Of Evidence Without Evidence Of Symmetry," Boston University - Department of Economics - Working Papers Series wp2008-018, Boston University - Department of Economics.
    5. Peter Klibanoff & Massimo Marinacci & Sujoy Mukerji, 2005. "A Smooth Model of Decision Making under Ambiguity," Econometrica, Econometric Society, vol. 73(6), pages 1849-1892, November.
    6. Robert F. Nau, 2006. "Uncertainty Aversion with Second-Order Utilities and Probabilities," Management Science, INFORMS, vol. 52(1), pages 136-145, January.
    7. Paolo Ghirardato & Fabio Maccheroni & Massimo Marinacci & Marciano Siniscalchi, 2001. "A subjective spin on roulette wheels," ICER Working Papers - Applied Mathematics Series 17-2001, ICER - International Centre for Economic Research, revised Aug 2001.
    8. Nabil I. Al-Najjar & Luciano De Castro, 2010. "Observability and “Second-Order Acts"," Discussion Papers 1531, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
    9. Tomasz Strzalecki, 2011. "Axiomatic Foundations of Multiplier Preferences," Levine's Working Paper Archive 786969000000000126, David K. Levine.
    10. William Neilson, 2010. "A simplified axiomatic approach to ambiguity aversion," Journal of Risk and Uncertainty, Springer, vol. 41(2), pages 113-124, October.
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