A note on Markov perfect equilibria in a class of non-stationary stochastic bequest games

作者:Balbus Lukasz; Jaskiewicz Anna*; Nowak Andrzej S; Wozny Lukasz
来源:Journal of Mathematical Analysis and Applications, 2017, 456(1): 394-401.
DOI:10.1080/0023131.2017.07.018

摘要

In this note, we prove the existence of a Markov perfect equilibrium in a non stationary version of a paternalistic bequest game. The method we advocate is general and allows to study models with unbounded state space and unbounded utility functions. We cover both, the stochastic and deterministic cases. We provide a characterization of the set of all Markov perfect equilibria by means of a set-valued recursive equation involving the best response operator. In the stationary case, we show that there exists a set of strategies that is invariant under the best response mapping.

  • 出版日期2017-12-1

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