A mixed theory of information. V: How to keep the (inset) expert honest

DOI10.1016/0022-247X(80)90093-1zbMath0442.94004MaRDI QIDQ1143989

János Aczél

Publication date: 1980

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

Shannon entropyforecastermixed theory of informationinset entropypayoff functions

Mathematics Subject Classification ID

Measures of information, entropy (94A17) Systems of functional equations and inequalities (39B72) Ring-theoretic properties of Boolean algebras (06E20)

Related Items

A mixed theory of information. X: Information functions and information measures ⋮ The fundamental equation of information and its generalizations ⋮ On a generalization of the Shannon functional inequality ⋮ A Comparative Assessment of Various Measures of Entropy ⋮ Measuring information beyond communication theory - why some generalized information measures may be useful, others not ⋮ Measures of inset information of the open domain. I: Inset entropies and information functions of all degrees ⋮ Measures of inset information on open domains. II: Additive inset entropies with measurable sum property

Cites Work

• On measures of information and their characterizations
• Remarks on the measurement of subjective probability and information
• On the inequality \(\sum p_if(p_i) \geq \sum p_if(q_i)\).
• MEASURES OF THE VALUE OF INFORMATION
• Universal parallel composition laws and their representations.
• On the characterization of Shannon's entropy by Shannon's inequality
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