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Thursday, April 23, 2020 | History

2 edition of A note on values and multilinear extensions found in the catalog.

A note on values and multilinear extensions

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Published by College of Commerce and Business Administration, University of Illinois at Urbana-Champaign in [Urbana, Ill.] .
Written in English


Edition Notes

Includes bibliographical references (leaves [7-8]).

Other titlesMultilinear extensions.
StatementAlvin E. Roth
SeriesFaculty working papers (University of Illinois at Urbana-Champaign. College of Commerce and Business Administration) -- no. 315, Faculty working papers -- no. 315.
ContributionsUniversity of Illinois at Urbana-Champaign. College of Commerce and Business Administration
The Physical Object
Pagination5, [3] leaves ;
ID Numbers
Open LibraryOL24622497M
OCLC/WorldCa4038595

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A note on values and multilinear extensions by Alvin E. Roth Download PDF EPUB FB2

The multilinear extension of an n-person game v is a function defined on the n-cube IN which is linear in each variable and which coincides with v at the conrners of Cited by: The multilinear extension of an n-person game v is a function defined on the n-cube I N which is linear in each variable and which coincides with v at the conrners of the cube, satisfying f(x) = v({i ∣ x i = 1}).

Multilinear extensions are useful as a help in computing the values of large games, and give a generalization of the Shapley by: Downloadable (with restrictions).

We define multilinear extensions for multichoice games A note on values and multilinear extensions book relate them to probabilistic values and semivalues.

We apply multilinear extensions to show that the Banzhaf value for a compound multichoice game is not the product of the Banzhaf values of the component games, in contrast to the behavior in simple games.

In mathematics, a tensor is an algebraic object that describes a (multilinear) relationship between sets of algebraic objects related to a vector s that A note on values and multilinear extensions book may map between include vectors (which are A note on values and multilinear extensions book, but not always, understood as arrows with length that point in a direction) and scalars (which are often familiar numbers such as the real numbers), and.

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