Nonstandard Analysis in Mathematical Economics

Yeneng Sun ()
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Yeneng Sun: National University of Singapore, Department of Mathematics

Chapter Chapter 9 in Nonstandard Analysis for the Working Mathematician, 2015, pp 349-399 from Springer

Abstract: Abstract Measure-theoretic or probabilistic methods have played a very important role in most areas of modern economics. The dual aims of this chapter are to present some special measure-theoretic properties based on nonstandard constructions and then to illustrate how these properties can be applied to problems in game theory, general equilibrium theory and finance.

Keywords: Lebesgue Unit Interval; Loeb Space; General Probability Spaces; Random Economies; Large Finite Games (search for similar items in EconPapers)
Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-94-017-7327-0_9

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DOI: 10.1007/978-94-017-7327-0_9

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