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Behavioral Equilibrium and Evolutionary Dynamics

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Mathematical Financial Economics

Abstract

This chapter presents a new approach to the modelling of financial markets combining behavioural and evolutionary principles. It describes a dynamic equilibrium model with long-lived dividend-paying assets in which the notion of a short-run equilibrium is defined directly in terms of the strategy profile of investors, rather than their (typically unobservable) individual utilities and beliefs. This approach makes it possible to reflect a whole variety of patterns of market behaviour, not necessarily describable in terms of utility maximization. The highlight of the chapter is a result describing an (asymptotically unique) evolutionary stable strategy, guaranteeing ”survival” in the market selection process.

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Notes

  1. 1.

    Kahneman and Smith: the 2002 Nobel Laureates in Economics.

  2. 2.

    The 2013 Nobel Prize in Economics.

  3. 3.

    However, it should be emphasized that instead of weighing assets according to their prices, in Λ the weights are based on fundamentals. In practice, Λ is an example of fundamental indexing (Arnott, Hsu and West, 2008).

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Evstigneev, I.V., Hens, T., Schenk-Hoppé, K.R. (2015). Behavioral Equilibrium and Evolutionary Dynamics. In: Mathematical Financial Economics. Springer Texts in Business and Economics. Springer, Cham. https://doi.org/10.1007/978-3-319-16571-4_20

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