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arXiv · 1803.00878

Sunspot Equilibrium in General Quitting Games

Eilon Solan·Omri Nisan Solan
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Abstract

We prove that positive recursive general quitting games, which are quitting games in which each player may have more than one continue action, admit a sunspot $\ep$-equilibrium, for every $\ep > 0$. To this end we show that the equilibrium set of strategic-form games can be uniformly approximated by a smooth manifold, and develop a new fixed-point theorem for smooth manifolds.

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Eilon Solan, Omri Nisan Solan. 2018-03-02. Sunspot Equilibrium in General Quitting Games. https://arxiv.org/abs/1803.00878

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