Ergodicity and symmetric mathematical programs

Arie Tamir

doi:10.1007/BF01584325

Ergodicity and symmetric mathematical programs

Arie Tamir^*

^*Corresponding author for this work

School of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

The paper provides new conditions ensuring the optimality of a symmetric feasible point of certain mathematical programs. It is shown that these conditions generalize and unify most of the known results dealing with optimality of symmetric policies (e.g. [2, 4, 6, 11]). The generalization is based on certain ergodic properties of nonnegative matrices. An application to a socio-economic model dealing with optimization of a welfare function is presented.

Original language	English
Pages (from-to)	81-87
Number of pages	7
Journal	Mathematical Programming
Volume	13
Issue number	1
DOIs	https://doi.org/10.1007/BF01584325
State	Published - Dec 1977

Keywords

Cyclic symmetry
Ergodicity
S-concavity and majorization
Stochastic matrices
Symmetric mathematical programs

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10.1007/BF01584325

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AB - The paper provides new conditions ensuring the optimality of a symmetric feasible point of certain mathematical programs. It is shown that these conditions generalize and unify most of the known results dealing with optimality of symmetric policies (e.g. [2, 4, 6, 11]). The generalization is based on certain ergodic properties of nonnegative matrices. An application to a socio-economic model dealing with optimization of a welfare function is presented.

KW - Cyclic symmetry

KW - Ergodicity

KW - S-concavity and majorization

KW - Stochastic matrices

KW - Symmetric mathematical programs

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Ergodicity and symmetric mathematical programs

Abstract

Keywords

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