A multi-objective evolutionary algorithm for a class of mean-variance portfolio selection problems

2019 ◽  
Vol 133 ◽  
pp. 225-241 ◽  
Author(s):  
Yuri Laio T.V. Silva ◽  
Ana Beatriz Herthel ◽  
Anand Subramanian
2021 ◽  
Vol 0 (0) ◽  
Author(s):  
Ishak Alia ◽  
Farid Chighoub

Abstract This paper studies optimal time-consistent strategies for the mean-variance portfolio selection problem. Especially, we assume that the price processes of risky stocks are described by regime-switching SDEs. We consider a Markov-modulated state-dependent risk aversion and we formulate the problem in the game theoretic framework. Then, by solving a flow of forward-backward stochastic differential equations, an explicit representation as well as uniqueness results of an equilibrium solution are obtained.


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