Pareto efficiency

Fractional Pareto efficiency

In economics and computer science, Fractional Pareto efficiency or Fractional Pareto optimality (fPO) is a variant of Pareto efficiency used in the setting of fair allocation of discrete objects. An allocation of objects is called discrete if each item is wholly allocated to a single agent; it is called fractional if some objects are split among two or more agents. A discrete allocation is called Pareto-efficient (PO) if it is not Pareto-dominated by any discrete allocation; it is called fractionally Pareto-efficient (fPO) if it is not Pareto-dominated by any discrete or fractional allocation. So fPO is a stronger requirement than PO: every fPO allocation is PO, but not every PO allocation is fPO. (Wikipedia).

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This is a short video tutorial on adding fractions. For interactive applets, worksheets, and more videos go to http://www.mathvillage.info

From playlist Fraction Operations

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From playlist Research in Mathematics

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From playlist Mathematical analysis and applications

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From playlist Fraction Concepts

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From playlist Learn About Fractions

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From playlist Fraction Concepts

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From playlist Multiplying and Dividing Fractions

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From playlist A second course in university calculus.

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From playlist Basic Math

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From playlist String Theory Lectures

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From playlist Lecture Collection | Convex Optimization

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From playlist Digital Cities Summit 2016

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From playlist Introduction to Percentages

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From playlist The Moral Foundations of Politics with Ian Shapiro

Related pages

Bellman–Ford algorithm | Simplex algorithm | Pareto efficiency | Basic feasible solution | Bipartite graph | Fisher market | Sperner's lemma | Linear programming | Envy-free item allocation | Fair item allocation