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How Much for an Interval? a Set? a Twin Set? a p-Box? A Kaucher Interval? Towards an Economics-Motivated Approach to Decision Making Under Uncertainty

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Book cover Scientific Computing, Computer Arithmetic, and Validated Numerics (SCAN 2015)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 9553))

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Abstract

A natural idea of decision making under uncertainty is to assign a fair price to different alternatives, and then to use these fair prices to select the best alternative. In this paper, we show how to assign a fair price under different types of uncertainty.

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Acknowledgments

This work was supported in part by the National Science Foundation grants HRD-0734825 and HRD-1242122 (Cyber-ShARE Center of Excellence) and DUE-0926721, by Grant 1 T36 GM078000-01 and 1R43TR000173-01 from the National Institutes of Health, and by grant N62909-12-1–7039 from the Office of Naval Research.

The authors are thankful to all the participants of the 16th International Symposium on Scientific Computing, Computer Arithmetic, and Validated Numerics SCAN’2014 (Würzburg, German, September 21–26, 2014) for their interest, and to the anonymous referees for valuable suggestions.

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Authors and Affiliations

  1. University of Texas at El Paso, El Paso, TX, 79968, USA

    Joe Lorkowski & Vladik Kreinovich

Authors
  1. Joe Lorkowski
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  2. Vladik Kreinovich
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Correspondence to Vladik Kreinovich .

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Editors and Affiliations

  1. Institute of Computer Science, University of Würzburg, Würzburg, Germany

    Marco Nehmeier

  2. Universität Würzburg, Würzburg, Germany

    Jürgen Wolff von Gudenberg

  3. Department of Mathematics, Uppsala University, Uppsala, Sweden

    Warwick Tucker

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Lorkowski, J., Kreinovich, V. (2016). How Much for an Interval? a Set? a Twin Set? a p-Box? A Kaucher Interval? Towards an Economics-Motivated Approach to Decision Making Under Uncertainty. In: Nehmeier, M., Wolff von Gudenberg, J., Tucker, W. (eds) Scientific Computing, Computer Arithmetic, and Validated Numerics. SCAN 2015. Lecture Notes in Computer Science(), vol 9553. Springer, Cham. https://doi.org/10.1007/978-3-319-31769-4_6

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  • DOI: https://doi.org/10.1007/978-3-319-31769-4_6

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  • Publisher Name: Springer, Cham

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  • Online ISBN: 978-3-319-31769-4

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