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Applied algebraic systems: New tools...

Jessie, Daniel.

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Applied algebraic systems: New tools for the social sciences.

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Applied algebraic systems: New tools for the social sciences./
Author:	Jessie, Daniel.
Description:	109 p.
Notes:	Source: Dissertation Abstracts International, Volume: 74-10(E), Section: B.
Contained By:	Dissertation Abstracts International74-10B(E).
Subject:	Applied Mathematics. -
Online resource:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3567381
ISBN:	9781303191848

Applied algebraic systems: New tools for the social sciences.
Jessie, Daniel.

Applied algebraic systems: New tools for the social sciences. - 109 p.

Source: Dissertation Abstracts International, Volume: 74-10(E), Section: B.

Thesis (Ph.D.)--University of California, Irvine, 2013.

The goal of this thesis is to introduce a different mathematical approach to analyzing issues motivated by the mathematical structures found in the social sciences. The current use of mathematics tends to emphasize the ability to solve models, with a particular focus on the ability to solve more complicated or realistic models. While this outcome-centric approach has had definite success, it also has a limited ability to capture concerns fundamental to the nature of social systems. For example, this type of analysis is typically local in nature and is unable to characterize where and why qualitatively different outcomes arise. The approach introduced here provides a global perspective of a system by examining its algebraic structure. Doing this gives not only a global characterization, but provides a new mathematical foundation for asking more general research questions. This thesis explains how the algebraic systems approach can be used by showing its application to game theory.

ISBN: 9781303191848Subjects--Topical Terms:

1669109
Applied Mathematics.

Applied algebraic systems: New tools for the social sciences.
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020 $a 9781303191848
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100 1 $a Jessie, Daniel. $3 2096115
245 1 0 $a Applied algebraic systems: New tools for the social sciences.
300 $a 109 p.
500 $a Source: Dissertation Abstracts International, Volume: 74-10(E), Section: B.
500 $a Adviser: Donald G. Saari.
502 $a Thesis (Ph.D.)--University of California, Irvine, 2013.
520 $a The goal of this thesis is to introduce a different mathematical approach to analyzing issues motivated by the mathematical structures found in the social sciences. The current use of mathematics tends to emphasize the ability to solve models, with a particular focus on the ability to solve more complicated or realistic models. While this outcome-centric approach has had definite success, it also has a limited ability to capture concerns fundamental to the nature of social systems. For example, this type of analysis is typically local in nature and is unable to characterize where and why qualitatively different outcomes arise. The approach introduced here provides a global perspective of a system by examining its algebraic structure. Doing this gives not only a global characterization, but provides a new mathematical foundation for asking more general research questions. This thesis explains how the algebraic systems approach can be used by showing its application to game theory.
590 $a School code: 0030.
650 4 $a Applied Mathematics. $3 1669109
690 $a 0364
710 2 $a University of California, Irvine. $b Social Science - Ph.D.. $3 2096116
773 0 $t Dissertation Abstracts International $g 74-10B(E).
790 $a 0030
791 $a Ph.D.
792 $a 2013
793 $a English
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3567381