Game-changing leadership strategies boost player payoffs in strategic games
The article explores how committing to a mixed strategy in a game can affect outcomes. In a two-player game, the leader's payoff is always at least as good as any Nash equilibrium payoff. The leader's payoffs may form an interval, but they are never worse than Nash payoffs. The leader's payoffs are also at least as good as correlated equilibrium payoffs. However, these results do not hold in games with three or more players. The follower's payoffs can vary widely compared to other game scenarios.