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Special Issue "Maximum Entropy 2010"

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A special issue of Entropy (ISSN 1099-4300).

Deadline for manuscript submissions: closed (15 December 2010)

Special Issue Editor

Editor-in-Chief
Dr. Peter Harremoës (Website)

Copenhagen Business College, Rønne Alle 1, st., DK-2860 Søborg, Denmark
Interests: symmetry; information divergence; cause and effect; Maxwell\'s demon; probability and statistics

Keywords

  • maximum entropy, Maxent
  • Bayesian inference
  • maximum entropy principle
  • maximum entropy method
  • maximum entropy analysis
  • maximum entropy distribution

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Published Papers (1 paper)

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Research

Open AccessArticle A Microeconomic Interpretation of the Maximum Entropy Estimator of Multinomial Logit Models and Its Equivalence to the Maximum Likelihood Estimator
Entropy 2010, 12(10), 2077-2084; doi:10.3390/e12102077
Received: 21 August 2010 / Accepted: 8 September 2010 / Published: 29 September 2010
Cited by 8 | PDF Full-text (64 KB) | HTML Full-text | XML Full-text
Abstract
Maximum entropy models are often used to describe supply and demand behavior in urban transportation and land use systems. However, they have been criticized for not representing behavioral rules of system agents and because their parameters seems to adjust only to modeler-imposed [...] Read more.
Maximum entropy models are often used to describe supply and demand behavior in urban transportation and land use systems. However, they have been criticized for not representing behavioral rules of system agents and because their parameters seems to adjust only to modeler-imposed constraints. In response, it is demonstrated that the solution to the entropy maximization problem with linear constraints is a multinomial logit model whose parameters solve the likelihood maximization problem of this probabilistic model. But this result neither provides a microeconomic interpretation of the entropy maximization problem nor explains the equivalence of these two optimization problems. This work demonstrates that an analysis of the dual of the entropy maximization problem yields two useful alternative explanations of its solution. The first shows that the maximum entropy estimators of the multinomial logit model parameters reproduce rational user behavior, while the second shows that the likelihood maximization problem for multinomial logit models is the dual of the entropy maximization problem. Full article
(This article belongs to the Special Issue Maximum Entropy 2010)

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