The Shapley–Folkman lemma is a result in convex geometry with applications in mathematical economics that describes the Minkowski addition of sets in… (More)

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2017

2017

- ALEXANDRE D’ASPREMONT
- 2017

The Shapley-Folkman theorem shows that Minkowski averages of uniformly bounded sets tend to be convex when the number of terms in… (More)

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2016

2016

An (<i>n</i>,<i>k</i>)-<em>Poisson Multinomial Distribution</em> (PMD) is the distribution of the sum of <i>n</i> independent… (More)

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2014

2014

We present a model for fair strategyproof allocations in a realistic model of cloud computing centers. This model has the… (More)

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2011

2011

- M. Ali Khan, Kali P. Rath
- 2011

We present proofs, based on the Shapley-Folkman theorem, of the convexity of the range of a strongly continuous, finitely… (More)

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2006

2006

We present a purification result for incomplete information games with a large finite number of players that allows for compact… (More)

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1982

1982

- Dimitri P. Bertsekas, Nils F. Sandell
- 1982 21st IEEE Conference on Decision and Control
- 1982

We derive some estimates of the duality gap for separable constrained optimization problems involving nonconvex, possibly… (More)

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1979

1979

- Ross M. Starr
- 1979

The Shapley-Folkman theorem and its corollaries [ 1, 2, 3, 4, 5, 6, 81 provide strong bounds on the distance between the sum of a… (More)

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