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Axiomatic Characterization of the Quadratic Scoring Rule

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Author Info
Reinhard Selten ()

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Abstract

In the evaluation of experiments often the problem arises of how to compare the predictive success of competing probabilistic theories. The quadratic scoring rule can be used for this purpose. Originally, this rule was proposed as an incentive compatible elicitation method for probabilistic expert judgments. It is shown that up to a positive linear transformation, the quadratic scoring rule is characterized by four desirable properties. Copyright Economic Science Association 1998

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File URL: http://hdl.handle.net/10.1023/A:1009957816843
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Publisher Info
Article provided by Springer in its journal Experimental Economics.

Volume (Year): 1 (1998)
Issue (Month): 1 (June)
Pages: 43-61
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Handle: RePEc:kap:expeco:v:1:y:1998:i:1:p:43-61

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Web page: http://www.springerlink.com/link.asp?id=102888

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Related research
Keywords: scoring rules; descriptive statistics;

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References listed on IDEAS
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  1. Selten, Reinhard, 1991. "Properties of a measure of predictive success," Mathematical Social Sciences, Elsevier, vol. 21(2), pages 153-167, April. [Downloadable!] (restricted)
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Cited by:
(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)

  1. Victor Jose, 2009. "A Characterization for the Spherical Scoring Rule," Theory and Decision, Springer, vol. 66(3), pages 263-281, March. [Downloadable!] (restricted)
  2. Miller, Nolan & Resnick, Paul & Zeckhauser, Richard, 2002. "Eliciting Honest Feedback in Electronic Markets," Working Paper Series rwp02-039, Harvard University, John F. Kennedy School of Government. [Downloadable!]
  3. Pedro Rey-Biel, 2005. "Equilibrium Play and Best Reply to (Stated) Beliefs in Constant Sum Games," Experimental 0512003, EconWPA. [Downloadable!]
  4. Atanasios Mitropoulos, 2001. "On the Measurement of the Predictive Success of Learning Theories in Repeated Games," Experimental 0110001, EconWPA. [Downloadable!]
  5. Pedro Rey-Biel, 2007. "Equilibrium Play and Best Response to (Stated) Beliefs in Constant Sum Games," UFAE and IAE Working Papers 676.07, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC). [Downloadable!]
    Other versions:
  6. Jörg Rieskamp, 2008. "The importance of learning when making inferences," Judgment and Decision Making, Society for Judgment and Decision Making, vol. 3, pages 261-277, March. [Downloadable!]
  7. Palfrey, Thomas R. & Wang, Stephanie W., . "On eliciting beliefs in strategic games," Working Papers 1271, California Institute of Technology, Division of the Humanities and Social Sciences. [Downloadable!]
  8. Mikhael Shor, 2003. "Learning to Respond: The Use of Heuristics in Dynamic Games," Game Theory and Information 0301001, EconWPA. [Downloadable!]
  9. Collins, Richard & Sherstyuk, Katerina, 1999. "Spatial Competition with Three Firms: An Experimental Study," Working Papers 1057, California Institute of Technology, Division of the Humanities and Social Sciences. [Downloadable!]
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  10. Radosveta Ivanova-Stenzel & Timothy C. Salmon, 2004. "Bidder Preferences Among Auction Institutions," Experimental 0404005, EconWPA. [Downloadable!]
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  11. Pedro Rey Biel, 2005. "Equilibrium Play and Best Response in Sequential Constant Sum Games," Experimental 0506004, EconWPA. [Downloadable!]
  12. Miller, Nolan & Pratt, John H. & Zeckhauser, Richard & Johnson, Scott, 2006. "Mechanism Design with Multidimensional, Continuous Types and Interdependent Valuations," Working Paper Series rwp06-028, Harvard University, John F. Kennedy School of Government. [Downloadable!]
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