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Legut, Jerzy; Wilczyński, Maciej

doi:10.1016/j.jmaa.2012.04.062

Journal of Mathematical Analysis and Applications

2012

DOI: 10.1016/j.jmaa.2012.04.062

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How to obtain a range of a nonatomic vector measure in R2

Jerzy Legut

Maciej Wilczyński

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Cited by 6 publications

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How to obtain an equitable optimal fair division

Legut

2018

Ann Oper Res

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A nonlinear programming method is used for finding an equitable optimal fair division of the unit interval [0, 1) among n players. Players' preferences are described by nonatomic probability measures μ 1 , . . . , μ n with density functions having piecewise strict monotone likelihood ratio property. The presented algorithm can be used to obtain also an equitable ε-optimal fair division in case of measures with arbitrary differentiable density functions. An example of an equitable optimal fair division for three players is given.

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How to obtain an equitable optimal fair division

Legut

2018

Ann Oper Res

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Bounds for α-optimal partitioning of a measurable space based on several efficient partitions

Dall’Aglio

Luca

2015

Journal of Mathematical Analysis and Applications

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The range of a nonatomic vector measure in ℝ³

Wilczyński

2018

ITM Web Conf.

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How to obtain a range of a nonatomic vector measure in R2

Cited by 6 publications

References 16 publications

How to obtain an equitable optimal fair division

How to obtain an equitable optimal fair division

Bounds for α-optimal partitioning of a measurable space based on several efficient partitions

The range of a nonatomic vector measure in ℝ³

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How to obtain a range of a nonatomic vector measure in R2

Cited by 6 publications

References 16 publications

How to obtain an equitable optimal fair division

How to obtain an equitable optimal fair division

Bounds for α-optimal partitioning of a measurable space based on several efficient partitions

The range of a nonatomic vector measure in ℝ3

Contact Info

Product

Resources

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The range of a nonatomic vector measure in ℝ³