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arXiv · 2411.04802

Dynkin ghost games with asymmetry and consolation

Erik Ekström·Yuqiong Wang
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Abstract

We study a stopping game of preemption type between two players who both act under uncertain competition. In this framework we introduce, and study the effect of, (i) asymmetry of payoffs, allowing e.g. for different investment costs, and (ii) consolation, i.e. partial compensation to the forestalled stopper. In general, this setting does not offer an explicit equilibrium. Instead, we provide a general verification theorem, which we then use to explore various situations in which a solution can be constructed so that an equilibrium is obtained.

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Erik Ekström, Yuqiong Wang. 2024-11-07. Dynkin ghost games with asymmetry and consolation. https://arxiv.org/abs/2411.04802

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