Computing topological entropy for periodic sequences of unimodal maps

•We provide an algorithm for computing topological entropy with prescribed accuracy for a class of piecewise monotone maps.•Useful to compute the topological entropy of periodic sequences of unimodal maps which are used in Economy and Biology.•Let us remark that computing topological entropy is a very difficult problem as Abel Prize John Milnor stated.

In this paper we introduce an algorithm which allows us to compute the topological entropy of a class of piecewise monotone continuous interval maps. The algorithm can be applied to a class of economic models called duopolies, and it can be useful to compute the topological entropy of periodic sequences of continuous maps which have been used in some population growth models.