The interaction between a sophisticated player and a fictitious player is analyzed and applied to the problem of optimal enforcement. An adaptive potential offender myopically responds to the history of past enforcement. How can a sophisticated enforcement official take advantage of this...

The identical agent, identical good Bertrand game is associated with prices at marginal cost — the Bertrand Paradox. If consumers make occasional mistakes I show that the standard Bertrand game gives rise to positive profits and prices above marginal cost. Some firms charge low prices to...