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Lectures on Young measure theory and its applications in economics. (English) Zbl 1032.91007

This lecture note gives a quick introduction into the theory of Young measures with applications to economics. The presentation of the theory of Young measures is based on a transfer of the classical theory of narrow convergence from the domain of probabilities to the more general domain of transition probabilities. This method centers around a Prokhorov-type extension of Komlos’ theorem. The second part of the note deals with applications of Young measures in economics (optimal growth, optimal consumption, Nash equilibria).

MSC:

91A10 Noncooperative games
49Q20 Variational problems in a geometric measure-theoretic setting
91B62 Economic growth models
91B42 Consumer behavior, demand theory
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