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On the relation between plausibility logic and the maximum-entropy principle: a numerical study

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  • Porta Mana, PierGianLuca

    (Norwegian University of Science and Technology)

Abstract

What is the relationship between plausibility logic and the principle of maximum entropy? When does the principle give unreasonable or wrong results? When is it appropriate to use the rule 'expectation = average'? Can plausibility logic give the same answers as the principle, and better answers if those of the principle are unreasonable? To try to answer these questions, this study offers a numerical collection of plausibility distributions given by the maximum-entropy principle and by plausibility logic for a set of fifteen simple problems: throwing dice.

Suggested Citation

  • Porta Mana, PierGianLuca, 2009. "On the relation between plausibility logic and the maximum-entropy principle: a numerical study," OSF Preprints fejvm, Center for Open Science.
    • Handle: RePEc:osf:osfxxx:fejvm
    DOI: 10.31219/osf.io/fejvm
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    References listed on IDEAS

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    1. Slater, Paul B., 1992. "Minimum relative entropies of low-dimensional spin systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 182(1), pages 145-154.
    2. Ramsey, Frank P., 1926. "Truth and Probability," Histoy of Economic Thought Chapters, in: Braithwaite, R. B. (ed.),The Foundations of Mathematics and other Logical Essays, chapter 7, pages 156-198, McMaster University Archive for the History of Economic Thought.
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    Cited by:

    1. Porta Mana, PierGianLuca, 2017. "Maximum-entropy from the probability calculus: exchangeability, sufficiency," OSF Preprints xdy72, Center for Open Science.

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