The Stochastic Matrix Model of Evolution and Linear Programming

John Hartwick ()

No 1538, Working Paper from Economics Department, Queen's University

Abstract: We construct a linear programming model of Darwinian evolution, inspired by "the stochastic matrix model". We present a detailed numerical example based on a 3 X 3 stochastic matrix. The linear program uses the stochastic matrix in the specification of its objective function. The program "selects" from an "input" vector to meet a given next period "output" vector. Novel for a model of Darwinian evolution is the presence of costs and shadow prices.

Keywords: Darwinian evolution; stochastic matrices; linear programming (search for similar items in EconPapers)
Pages: 9 pages
Date: 2025-09
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