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Genetic learning as an explanation of stylized facts of foreign exchange markets

Thomas Lux and Sascha Schornstein

No 2003-12, Economics Working Papers from Christian-Albrechts-University of Kiel, Department of Economics

Abstract: This paper revisits the Kareken-Wallace model of exchange rate formation in a two-country overlapping generations world. Following the seminal paper by Arifovic (Journal of Political Economy, 104, 1996, 510 – 541) we investigate a dynamic version of the model in which agents? decision rules are updated using genetic algorithms. Our main interest is in whether the equilibrium dynamics resulting from this learning process helps to explain the main stylized facts of free-floating exchange rates (unit roots in levels together with fat tails in returns and volatility clustering). Our time series analysis of simulated data indicates that for particular parameterizations, the characteristics of the exchange rate dynamics are, in fact, very similar to those of empirical data. The similarity appears to be quite insensitive with respect to some of the ingredients of the GA algorithm (i.e. utility-based versus rank-based or tournament selection, binary or real coding). However, appearance or not of realistic time series characteristics depends crucially on the mutation probability (which should be low) and the number of agents (not more than about 1000). With a larger population, this collective learning dynamics looses its realistic appearance and instead exhibits regular periodic oscillations of the agents? choice variables.

Keywords: learning; genetic algorithms; exchange rate dynamics (search for similar items in EconPapers)
JEL-codes: D83 D84 F31 (search for similar items in EconPapers)
Date: 2003
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Related works:
Journal Article: Genetic learning as an explanation of stylized facts of foreign exchange markets (2005) Downloads
Working Paper: Genetic learning as an explanation of stylized facts of foreign exchange markets (2002) Downloads
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