Last edited by Voodoorisar

Thursday, April 23, 2020 | History

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

- 331 Want to read
- 10 Currently reading

Published
**1976** 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 titles | Multilinear extensions. |

Statement | Alvin E. Roth |

Series | Faculty working papers (University of Illinois at Urbana-Champaign. College of Commerce and Business Administration) -- no. 315, Faculty working papers -- no. 315. |

Contributions | University of Illinois at Urbana-Champaign. College of Commerce and Business Administration |

The Physical Object | |
---|---|

Pagination | 5, [3] leaves ; |

ID Numbers | |

Open Library | OL24622497M |

OCLC/WorldCa | 4038595 |

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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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Downloadable. Author(s): Guillermo Owen. Abstract: 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}).

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If a bounded multilinear map from the Cartesian product of some normed spaces to a normed space Y is weakly compact, then, as it is shown in [8,Proposition 4]. A note on multiple summing operators and applications. Article (PDF Available) [15] for the linear c ase, and [8] for the multilinear c ase).

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Each of the twenty essays concerns some aspect of the Shapley value. Three of the chapters are reprints of the 'ancestral' papers: Chapter 2 is Shapley's original paper defining the value; Chapter 3 is the paper by Shapley and Shubik applying the value to voting models; and chapter 19 is Shapley's paper defining a value for games.

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This is a book on linear algebra and matrix theory. It provides an introduction to various numerical methods used in linear algebra. Dedekind Domains, Factoring of Prime Ideals in Extensions. Also note that we can view det as a map from R^n x x R^n to R taking n vectors from R^n, staking them as the lines of a nxn matrix and taking the determinant of that.

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We give here a theoretical study of this power paper consists of five parts. Section 1 gives a definition of the index, and studies several normalizations. Section 2 gives some of the most important properties of the Cited by: We discuss a multilinear generalization of the singular value decomposition.

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An Axiomatic Approach to Probabilistic Efficient Values for Cooperative Games. Authors; Authors and affiliations A.E. (), “A note on values and multilinear extensions”, Naval Research Logistics Quarterly, 24, – Radzik T., Driessen T. () An Axiomatic Approach to Probabilistic Efficient Values for Cooperative Games.

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