Strong Nash equilibrium (see Aumann, 1959) and coalition-proof Bernheim et al., 1987) rely on the idea that players are allowed to form coalitions make joint deviations. Both of these notions consider cases in which any coalition can be formed. Accordingly, there may arise “conflicts interest” prevent a player from choosing an action simultaneously meets requirements two he or she belongs. Here...

We investigate whether having a unique equilibrium (or a given number of equilibria) is robust to perturbation of the payoffs, both for Nash equilibrium and correlated equilibrium. We show that the set of n-player finite games with a unique correlated equilibrium is open, while this is not true of Nash equilibrium for n > 2. The crucial lemma is that a unique correlated equilibrium is a quasi-s...

We investigate whether having a unique equilibrium (or a given number of equilibria) is robust to perturbation of the payoffs, both for Nash equilibrium and correlated equilibrium. We show that the set of n-player finite normal form games with a unique correlated equilibrium is open, while this is not true of Nash equilibrium for n>2. The crucial lemma is that a unique correlated equilibrium is...

We investigate whether having a unique equilibrium (or a given number of equilibria) is robust to perturbation of the payoffs, both for Nash equilibrium and correlated equilibrium. We show that the set of n-player finite games with a unique correlated equilibrium is open, while this is not true of Nash equilibrium for n > 2. The crucial lemma is that a unique correlated equilibrium is a quasi-s...