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Equilibrium search model with endogenous growth rate of human capital

Wansheng Tang, Chi Zhou, Chaoqun Xiao, Ruiqing Zhao (2016)

Kybernetika

This article studies an equilibrium search problem when jobs provided by firms can be either unskilled or skilled and when workers differing in their education level can be either low-educated or high-educated. The structure proportion of jobs affects the equilibrium which indicates a threshold that can distinguish whether the equilibrium is separating or cross-skill. In addition, the cross-skill equilibrium solution implies the high-educated workers are more likely to obtain higher pay rates than...

Exponential convergence for a convexifying equation

Guillaume Carlier, Alfred Galichon (2012)

ESAIM: Control, Optimisation and Calculus of Variations

We consider an evolution equation similar to that introduced by Vese in [Comm. Partial Diff. Eq. 24 (1999) 1573–1591] and whose solution converges in large time to the convex envelope of the initial datum. We give a stochastic control representation for the solution from which we deduce, under quite general assumptions that the convergence in the Lipschitz norm is in fact exponential in time.

Exponential convergence for a convexifying equation

Guillaume Carlier, Alfred Galichon (2012)

ESAIM: Control, Optimisation and Calculus of Variations

We consider an evolution equation similar to that introduced by Vese in [Comm. Partial Diff. Eq. 24 (1999) 1573–1591] and whose solution converges in large time to the convex envelope of the initial datum. We give a stochastic control representation for the solution from which we deduce, under quite general assumptions that the convergence in the Lipschitz norm is in fact exponential in time.

Exponential convergence for a convexifying equation

Guillaume Carlier, Alfred Galichon (2012)

ESAIM: Control, Optimisation and Calculus of Variations

We consider an evolution equation similar to that introduced by Vese in [Comm. Partial Diff. Eq. 24 (1999) 1573–1591] and whose solution converges in large time to the convex envelope of the initial datum. We give a stochastic control representation for the solution from which we deduce, under quite general assumptions that the convergence in the Lipschitz norm is in fact exponential in time.

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