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Monge–Kantorovich Theory

Alfred Galichon

in Optimal Transport Methods in Economics

Published in print:
2016
Published Online:
January 2018
ISBN:
9780691172767
eISBN:
9781400883592
Item type:
chapter
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691172767.003.0002
Subject:
Economics and Finance, Microeconomics

This chapter states the Monge–Kantorovich problem and provides the duality result in a fairly general setting. The primal problem is interpreted as the central planner's problem of determining the ... More


The Discrete Optimal Assignment Problem

Alfred Galichon

in Optimal Transport Methods in Economics

Published in print:
2016
Published Online:
January 2018
ISBN:
9780691172767
eISBN:
9781400883592
Item type:
chapter
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691172767.003.0003
Subject:
Economics and Finance, Microeconomics

This chapter considers the finite-dimensional case, which is the case when the marginal probability distributions are discrete with finite support. In this case, the Monge–Kantorovich problem becomes ... More


One-Dimensional Case

Alfred Galichon

in Optimal Transport Methods in Economics

Published in print:
2016
Published Online:
January 2018
ISBN:
9780691172767
eISBN:
9781400883592
Item type:
chapter
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691172767.003.0004
Subject:
Economics and Finance, Microeconomics

This chapter considers the Monge–Kantorovich problem in the one-dimensional case, when both the worker and the job are characterized by a scalar attribute. The important assumption of positive ... More


The Calculating Iceman: Leonid Kantorovich in the USSR, 1941–2

Alan Bollard

in Economists at War: How a Handful of Economists Helped Win and Lose the World Wars

Published in print:
2019
Published Online:
January 2020
ISBN:
9780198846000
eISBN:
9780191881244
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198846000.003.0005
Subject:
Economics and Finance, Economic History

The only way through the wartime Leningrad siege was a winter ice road across a lake, monitored by a brilliant young Soviet mathematician. Leonid Kantorovich had been brought up in the chaos of ... More


Economists in the Cold War: Money, Computers, and Models, 1946–55

Alan Bollard

in Economists at War: How a Handful of Economists Helped Win and Lose the World Wars

Published in print:
2019
Published Online:
January 2020
ISBN:
9780198846000
eISBN:
9780191881244
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198846000.003.0009
Subject:
Economics and Finance, Economic History

The last chapter covers the transition from World War II to the decade of the Cold War. The new divide was between East and West, and new tasks for economists included civilian reconstruction, a ... More


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