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Sunspot Equilibrium in General Quitting Games
Eilon Solan, Omri Nisan Solan · 2018-03-02 · via math.PR updates on arXiv.org

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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