Existence and computation of solutions to the initial value problem for the replicator equation of evolutionary game defined by the Dixit–Stiglitz–Krugman model in an urban setting: Concentration of workers motivated by disparity in real wages

作者:

Highlights:

• An evolutionary game whose payoffs are defined by a spatial economic model.

• The replicator equation contains an operator mapping an unknown function to a payoff function.

• We obtain a numerical solution to the initial value problem for this equation.

• A global solution converges to an equilibrium attained when all workers are concentrated at a point.

摘要

•An evolutionary game whose payoffs are defined by a spatial economic model.•The replicator equation contains an operator mapping an unknown function to a payoff function.•We obtain a numerical solution to the initial value problem for this equation.•A global solution converges to an equilibrium attained when all workers are concentrated at a point.

论文关键词:Numerical solution,Evolutionary game,Replicator equation,Spatial economics,The Dixit–Stiglitz–Krugman model

论文评审过程:Available online 7 February 2015.

论文官网地址:https://doi.org/10.1016/j.amc.2015.01.029