Weighted entropies

DOI10.2478/s11533-010-0026-3zbMath1204.39025OpenAlexW3192624387MaRDI QIDQ607418

Bruce R. Ebanks

Publication date: 22 November 2010

Published in: Central European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2478/s11533-010-0026-3

zbMATH Keywords

entropybranchingsystem of functional equationsShannon entropyutility of gamblingweighted additivityweighted utility

Mathematics Subject Classification ID

Utility theory (91B16) Functional equations for real functions (39B22) Measures of information, entropy (94A17) Systems of functional equations and inequalities (39B72) Probabilistic games; gambling (91A60)

Cites Work

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• Utility of gambling under p(olynomial)-additive joint receipt and segregation or duplex decomposition
• Independence properties vis-à-vis several utility representations
• Utility of gambling when events are valued: An application of inset entropy
• Functional equations for weighted entropies
• Utility of gambling. I: Entropy modified linear weighted utility
• Utility of gambling. II: Risk, paradoxes, and data
• A General Functional Equation
• Measures of information with the branching property over a graph and their representations
• The branching property in generalized information theory
• Branching and Generalized-Recursive Inset Entropies

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