Please use this identifier to cite or link to this item: http://hdl.handle.net/10419/278595
Year of Publication: 
2023
Series/Report no.: 
Center for Mathematical Economics Working Papers No. 681
Publisher: 
Bielefeld University, Center for Mathematical Economics (IMW), Bielefeld
Abstract: 
This paper studies a class of stationary mean-field games of singular stochastic control with regime-switching. The representative agent adjusts the dynamics of a Markov-modulated Itô-diffusion via a two-sided singular stochastic control and faces a long-time-average expected profit criterion. The mean-field interaction is of scalar type and it is given through the stationary distribution of the population. Via a constructive approach, we prove the existence and uniqueness of the stationary mean-field equilibrium. Furthermore, we show that this realizes a symmetric εN-Nash equilibrium for a suitable ergodic N-player game with singular controls. The proof hinges on the characterization of the optimal solution to the representative player's ergodic singular stochastic control problem with regime switching, which is of independent interest and appears here for the first time.
Subjects: 
stationary mean-field games
singular control
regime-switching
ergodic criterion
&#x03b5
-Nash equilibrium
Persistent Identifier of the first edition: 
Creative Commons License: 
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Document Type: 
Working Paper

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