We present an optimal-control model where tipping behavior creates reputation that affects future service. Tipping and reputation can evolve in four path prototypes: converging to an interior equilibrium; converging to minimum tips and reputation; and two prototypes that start differently but...

We present an optimal-control model where tipping behavior creates reputation that affects future service. Tipping and reputation can evolve in four path prototypes: converging to an interior equilibrium; converging to minimum tips and reputation; and two prototypes that start differently but...