that the steady-state distribution actually came from these things that I just computed alright so you can do that and that's kind of a definition of a system equilibrium in our model and you know what we show is that basically as long as you have very mild regularity conditions on the system namely among other things that the price increases when the number of available drivers decreases so this is a condition on the pricing function then equilibria always exist and their unique under reasonable sort of smoothness conditions so oh we