Correlated
Equilibrium in Quitting Games

Eilon
Solan and Rakesh Vohra

Mathematics
of Operations Research 26 (2001),
601-610.

A quitting game is a sequential game
where each player has two actions: to continue or to quit.
The game continues as long as all
players decide to continue.
The moment at least one player decides to quit, the game terminates. The
terminal payoff depends on the subset of players that quit at the terminating
stage. If the game continues forever, then the payoff for the players is
some fixed payoff vector.

We prove that every quitting game
admits a correlated uniform e-equilibrium-
a uniform e-equilibrium in an extended game that includes a correlation device,
that sends one signal to each player before start of play.