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Preference Functions for Spatial Risk Analysis

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  • L. Robin Keller
  • Jay Simon

Abstract

When outcomes are defined over a geographic region, measures of spatial risk regarding these outcomes can be more complex than traditional measures of risk. One of the main challenges is the need for a cardinal preference function that incorporates the spatial nature of the outcomes. We explore preference conditions that will yield the existence of spatial measurable value and utility functions, and discuss their application to spatial risk analysis. We also present a simple example on household freshwater usage across regions to demonstrate how such functions can be assessed and applied.

Suggested Citation

  • L. Robin Keller & Jay Simon, 2019. "Preference Functions for Spatial Risk Analysis," Risk Analysis, John Wiley & Sons, vol. 39(1), pages 244-256, January.
    • Handle: RePEc:wly:riskan:v:39:y:2019:i:1:p:244-256
    DOI: 10.1111/risa.12892
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    References listed on IDEAS

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    1. Yang Zhou & Ning Li & Wenxiang Wu & Jidong Wu & Peijun Shi, 2014. "Local Spatial and Temporal Factors Influencing Population and Societal Vulnerability to Natural Disasters," Risk Analysis, John Wiley & Sons, vol. 34(4), pages 614-639, April.
    2. James S. Dyer & Rakesh K. Sarin, 1982. "Relative Risk Aversion," Management Science, INFORMS, vol. 28(8), pages 875-886, August.
    3. W. M. Gorman, 1968. "The Structure of Utility Functions," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 35(4), pages 367-390.
    4. Jay Simon & Craig W. Kirkwood & L. Robin Keller, 2014. "Decision Analysis with Geographically Varying Outcomes: Preference Models and Illustrative Applications," Operations Research, INFORMS, vol. 62(1), pages 182-194, February.
    5. Jason R. W. Merrick & Gregory S. Parnell & Jamison Barnett & Margot Garcia, 2005. "A Multiple-Objective Decision Analysis of Stakeholder Values to Identify Watershed Improvement Needs," Decision Analysis, INFORMS, vol. 2(1), pages 44-57, March.
    6. James S. Dyer & Rakesh K. Sarin, 1979. "Measurable Multiattribute Value Functions," Operations Research, INFORMS, vol. 27(4), pages 810-822, August.
    7. Ferretti, Valentina & Montibeller, Gilberto, 2016. "Key challenges and meta-choices in designing and applying multi-criteria spatial decision support systems," LSE Research Online Documents on Economics 65368, London School of Economics and Political Science, LSE Library.
    8. Peter H. Farquhar, 1975. "A Fractional Hypercube Decomposition Theorem for Multiattribute Utility Functions," Operations Research, INFORMS, vol. 23(5), pages 941-967, October.
    9. Francisco J. Zagmutt & Mark A. Schoenbaum & Ashley E. Hill, 2016. "The Impact of Population, Contact, and Spatial Heterogeneity on Epidemic Model Predictions," Risk Analysis, John Wiley & Sons, vol. 36(5), pages 939-953, May.
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    Cited by:

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    6. Bana e Costa, Carlos A. & Oliveira, Mónica D. & Rodrigues, Teresa C. & Vieira, Ana C.L., 2023. "Desirability–doability group judgment framework for the collaborative multicriteria evaluation of public policies," LSE Research Online Documents on Economics 118192, London School of Economics and Political Science, LSE Library.

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