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## INTEGRAL PROBLEMS

*Andrea Braides*

### in Gamma-Convergence for Beginners

- Published in print:
- 2002
- Published Online:
- September 2007
- ISBN:
- 9780198507840
- eISBN:
- 9780191709890
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198507840.003.0003
- Subject:
- Mathematics, Applied Mathematics

This chapter deals with integral problems. Using examples, it illustrates the need to use weak topologies to obtain compactness and coerciveness conditions. The sufficiency and necessity of the ... More

## Differentials and Convex Analysis

*Robert G. Chambers*

### in Competitive Agents in Certain and Uncertain Markets

- Published in print:
- 2021
- Published Online:
- December 2020
- ISBN:
- 9780190063016
- eISBN:
- 9780190063047
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/oso/9780190063016.003.0002
- Subject:
- Economics and Finance, Econometrics, Microeconomics

Mathematical tools necessary to the argument are presented and discussed. The focus is on concepts borrowed from the convex analysis and variational analysis literatures. The chapter starts by ... More

## Quadratic Surplus

*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/9780691172767.003.0006
- Subject:
- Economics and Finance, Microeconomics

This chapter considers the case when the attributes are d-dimensional vectors and the surplus is the scalar product; it assumes that the distribution of the workers' attributes is continuous, but it ... More

## Minimax Theorem

*João P. Hespanha*

### in Noncooperative Game Theory: An Introduction for Engineers and Computer Scientists

- Published in print:
- 2017
- Published Online:
- May 2018
- ISBN:
- 9780691175218
- eISBN:
- 9781400885442
- Item type:
- chapter

- Publisher:
- Princeton University Press
- DOI:
- 10.23943/princeton/9780691175218.003.0005
- Subject:
- Mathematics, Logic / Computer Science / Mathematical Philosophy

This chapter deals with the Minimax Theorem and its proof, which is based on elementary results from convex analysis. The theorem states that for every matrix A, the average security levels of both ... More

## More General Surplus

*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/9780691172767.003.0007
- Subject:
- Economics and Finance, Microeconomics

This chapter considers a case with a more general surplus function. It shows that when the scalar-product surplus is replaced by a more general function, much of the machinery put in place in Chapter ... More

## Optimal Transport Methods in Economics

*Alfred Galichon*

- Published in print:
- 2016
- Published Online:
- January 2018
- ISBN:
- 9780691172767
- eISBN:
- 9781400883592
- Item type:
- book

- Publisher:
- Princeton University Press
- DOI:
- 10.23943/princeton/9780691172767.001.0001
- Subject:
- Economics and Finance, Microeconomics

Optimal transport theory is used widely to solve problems in mathematics and some areas of the sciences, but it can also be used to understand a range of problems in applied economics, such as the ... More

## Competitive Agents in Certain and Uncertain Markets

*Robert G. Chambers*

- Published in print:
- 2021
- Published Online:
- December 2020
- ISBN:
- 9780190063016
- eISBN:
- 9780190063047
- Item type:
- book

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/oso/9780190063016.001.0001
- Subject:
- Economics and Finance, Econometrics, Microeconomics

This book uses concepts from optimization theory to develop an integrated analytic framework for treating consumer, producer, and market equilibrium analyses as special cases of a generic ... More

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