Convergence of global solutions to the Cauchy problem for the replicator equation in spatial economics
Summary: We study the initial-value problem for the replicator equation of the \(N\)-region Core-Periphery model in spatial economics. The main result shows that if workers are sufficiently agglomerated in a region at the initial time, then the initial-value problem has a unique global solution that converges to the equilibrium solution expressed by full agglomeration in that region.
scientific article; zbMATH DE number 6806261
scientific article