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Functional Equations for Weighted Entropies

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Abstract.

We find the continuous solutions of some functional equations arising from an axiomatization of weighted utility. The axiomatization itself will be presented in a subsequent paper. The results have potential applications to the “utility of gambling” problem.

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Authors and Affiliations

  1. Department of Mathematics and Statistics, Mississippi State University, PO Drawer MA, Mississippi State, MS, 39762, USA

    Bruce Ebanks

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  1. Bruce Ebanks
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Correspondence to Bruce Ebanks.

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Received: October 1, 2008. Revised: August 25, 2009.

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Ebanks, B. Functional Equations for Weighted Entropies. Results. Math. 55, 329 (2009). https://doi.org/10.1007/s00025-009-0435-4

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  • DOI: https://doi.org/10.1007/s00025-009-0435-4

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