  A moment constraint that limits the number of dividends in the optimal
dividend problem is suggested. This leads to a new type of time-inconsistent
stochastic impulse control problem. First, the optimal solution in the
precommitment sense is derived. Second, the problem is formulated as an
intrapersonal sequential dynamic game in line with Strotz' consistent planning.
In particular, the notions of pure dividend strategies and a (strong) subgame
perfect Nash equilibrium are adapted. An equilibrium is derived using a smooth
fit condition. The equilibrium is shown to be strong. The uncontrolled state
process is a fairly general diffusion.
