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A method for determining the dimensi...

Garner, John J.

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A method for determining the dimension of an assignment game's core.

Record Type:	Language materials, printed : Monograph/item
Title/Author:	A method for determining the dimension of an assignment game's core./
Author:	Garner, John J.
Description:	35 p.
Notes:	Source: Masters Abstracts International, Volume: 48-06, page: 3688.
Contained By:	Masters Abstracts International48-06.
Subject:	Applied Mathematics. -
Online resource:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=1485202
ISBN:	9781124095141

A method for determining the dimension of an assignment game's core.
Garner, John J.

A method for determining the dimension of an assignment game's core. - 35 p.

Source: Masters Abstracts International, Volume: 48-06, page: 3688.

Thesis (M.S.)--University of Nevada, Reno, 2010.

We consider a particular class of transferable-utility cooperative games, the assignment game of Shapley and Shubik (1972). An equivalence relation due to Nunez and Rafels (2008) is defined on the player set based on the optimal matchings in the game. Players are defined as inactive if their core payoff is constant and active otherwise. The contribution of this thesis is a theorem which makes possible an efficient characterization of a given equivalence class of players as active or inactive. This results in a polynomial-time method for determining the dimension of a game's core.

ISBN: 9781124095141Subjects--Topical Terms:

1669109
Applied Mathematics.

A method for determining the dimension of an assignment game's core.
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100 1 $a Garner, John J. $3 1673097
245 1 2 $a A method for determining the dimension of an assignment game's core.
300 $a 35 p.
500 $a Source: Masters Abstracts International, Volume: 48-06, page: 3688.
500 $a Adviser: Thomas Quint.
502 $a Thesis (M.S.)--University of Nevada, Reno, 2010.
520 $a We consider a particular class of transferable-utility cooperative games, the assignment game of Shapley and Shubik (1972). An equivalence relation due to Nunez and Rafels (2008) is defined on the player set based on the optimal matchings in the game. Players are defined as inactive if their core payoff is constant and active otherwise. The contribution of this thesis is a theorem which makes possible an efficient characterization of a given equivalence class of players as active or inactive. This results in a polynomial-time method for determining the dimension of a game's core.
590 $a School code: 0139.
650 4 $a Applied Mathematics. $3 1669109
650 4 $a Mathematics. $3 515831
650 4 $a Economics, General. $3 1017424
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690 $a 0405
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710 2 $a University of Nevada, Reno. $3 626634
773 0 $t Masters Abstracts International $g 48-06.
790 1 0 $a Quint, Thomas, $e advisor
790 $a 0139
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792 $a 2010
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=1485202