Convergence of global solutions to the Cauchy problem for the replicator equation in spatial economics (Q1677667)

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scientific article; zbMATH DE number 6806261
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Convergence of global solutions to the Cauchy problem for the replicator equation in spatial economics
scientific article; zbMATH DE number 6806261

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    Convergence of global solutions to the Cauchy problem for the replicator equation in spatial economics (English)
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    13 November 2017
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    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.
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    global solutions
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    Cauchy problem
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    replicator equation
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    spatial economics
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