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Linear Programming

S. N. Afriat

in Logic of Choice and Economic Theory

Published in print:
1987
Published Online:
November 2003
ISBN:
9780198284611
eISBN:
9780191595844
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/0198284616.003.0026
Subject:
Economics and Finance, Microeconomics

This is the third of five chapters on optimal programming (the typical mathematics of economics) and related issues as related to choice making. It discusses linear programming, which might appear to ... More


 Fighting It Out

Ken Binmore

in Playing for Real: Game Theory

Published in print:
2007
Published Online:
May 2007
ISBN:
9780195300574
eISBN:
9780199783748
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780195300574.003.0007
Subject:
Economics and Finance, Microeconomics

This chapter describes the theory of two-person, zero-sum games invented by John Von Neumann in 1928. It begins with an application to the computation of economic shadow prices. It shows that a ... 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


Equilibrium, Efficiency, and Welfare

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/9780190063016.003.0007
Subject:
Economics and Finance, Econometrics, Microeconomics

Competitive equilibria are studied in both partial-equilibrium and general-equilibrium settings for economies characterized by consumers with incomplete preference structures. Market equilibrium ... More


Types and Stone spaces

Tim Button and Sean Walsh

in Philosophy and Model Theory

Published in print:
2018
Published Online:
May 2018
ISBN:
9780198790396
eISBN:
9780191863424
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198790396.003.0014
Subject:
Philosophy, Logic/Philosophy of Mathematics

Types are one of the cornerstones of contemporary model theory. Simply put, a type is the collection of formulas satisfied by an element of some elementary extension. The types can be organised in an ... More


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