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Linear Optimisation, Duality: Zero-Sum Games

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Mathematics and Methodology for Economics

Part of the book series: Springer Texts in Business and Economics ((STBE))

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Abstract

Here we deal again with linear optimisation, but we tackle more complicated problems than in Chap. 2 For this we use the method of steepest ascent and the simplex algorithm, which allow us to solve problems in more than two or three dimensions. This is followed by the notion of duality in linear optimisation, which is useful, among others, in the theory of two-person zero-sum games. It gives us the occasion to have an insight into that theory.

For when the One Great Scorer comes

To write against your name,

He marks—not that you won or lost—

But how you played the game.

GRANTLAND RICE (1880–1954)

American sports journalist and poet

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Eichhorn, W., Gleißner, W. (2016). Linear Optimisation, Duality: Zero-Sum Games. In: Mathematics and Methodology for Economics. Springer Texts in Business and Economics. Springer, Cham. https://doi.org/10.1007/978-3-319-23353-6_5

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