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Optimal Transport in Mechanism Design, Differential Games, and Ensemble Control.

Record Type:	Electronic resources : Monograph/item
Title/Author:	Optimal Transport in Mechanism Design, Differential Games, and Ensemble Control./
Author:	Adu, Daniel Owusu.
Description:	1 online resource (124 pages)
Notes:	Source: Dissertations Abstracts International, Volume: 84-04, Section: B.
Contained By:	Dissertations Abstracts International84-04B.
Subject:	Control theory. -
Online resource:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=29343733click for full text (PQDT)
ISBN:	9798352605080

Optimal Transport in Mechanism Design, Differential Games, and Ensemble Control.
Adu, Daniel Owusu.

Optimal Transport in Mechanism Design, Differential Games, and Ensemble Control. - 1 online resource (124 pages)

Source: Dissertations Abstracts International, Volume: 84-04, Section: B.

Thesis (Ph.D.)--Queen's University (Canada), 2022.

Includes bibliographical references

In this thesis, we study optimal transport problems arising in game and controltheoretic settings. The thesis has three parts; in part one we study a variation of the matching problem over a continuum of consumers and producers, where the producers are uncertain about their cost of production, in part two we study optimal transport problem in game-theoretic settings, and in part three we study optimal transport in ensemble control-theoretic settings.In part one, using optimal transport theory, we provide conditions under which matching equilibrium exists. In part two and three, we provide sufficient condition for the existence and uniqueness of an optimal transport map and prove that it can be characterized as the gradient of some convex function.

Electronic reproduction.
Ann Arbor, Mich. :
ProQuest,
2023

Mode of access: World Wide Web

ISBN: 9798352605080Subjects--Topical Terms:

535880
Control theory.
Index Terms--Genre/Form:

542853
Electronic books.

Optimal Transport in Mechanism Design, Differential Games, and Ensemble Control.
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035 $a (MiAaPQ)AAI29343733
035 $a (MiAaPQ)QueensUCan_197430174
035 $a AAI29343733
040 $a MiAaPQ $b eng $c MiAaPQ $d NTU
100 1 $a Adu, Daniel Owusu. $3 3702407
245 1 0 $a Optimal Transport in Mechanism Design, Differential Games, and Ensemble Control.
264 0 $c 2022
300 $a 1 online resource (124 pages)
336 $a text $b txt $2 rdacontent
337 $a computer $b c $2 rdamedia
338 $a online resource $b cr $2 rdacarrier
500 $a Source: Dissertations Abstracts International, Volume: 84-04, Section: B.
500 $a Advisor: Gharesifard, Bahman.
502 $a Thesis (Ph.D.)--Queen's University (Canada), 2022.
504 $a Includes bibliographical references
520 $a In this thesis, we study optimal transport problems arising in game and controltheoretic settings. The thesis has three parts; in part one we study a variation of the matching problem over a continuum of consumers and producers, where the producers are uncertain about their cost of production, in part two we study optimal transport problem in game-theoretic settings, and in part three we study optimal transport in ensemble control-theoretic settings.In part one, using optimal transport theory, we provide conditions under which matching equilibrium exists. In part two and three, we provide sufficient condition for the existence and uniqueness of an optimal transport map and prove that it can be characterized as the gradient of some convex function.
533 $a Electronic reproduction. $b Ann Arbor, Mich. : $c ProQuest, $d 2023
538 $a Mode of access: World Wide Web
650 4 $a Control theory. $3 535880
650 4 $a Maps. $3 544078
650 4 $a Mathematical functions. $3 3564295
650 4 $a Design. $3 518875
650 4 $a Teams. $3 3546566
650 4 $a Games. $3 525308
650 4 $a Mathematics. $3 515831
650 4 $a Systems science. $3 3168411
655 7 $a Electronic books. $2 lcsh $3 542853
690 $a 0389
690 $a 0405
690 $a 0790
710 2 $a ProQuest Information and Learning Co. $3 783688
710 2 $a Queen's University (Canada). $3 1017786
773 0 $t Dissertations Abstracts International $g 84-04B.
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=29343733 $z click for full text (PQDT)