Comment by kragen
We aren't talking about drinking-water quantities of water here but about irrigation quantities. Poor people in Arizona are not in danger of dying from thirst. Think Milagro Beanfield War, not Dune. Poor people in Phoenix get their water from the water utility, which gives you 3740+ gallons of potable water per month for US$4.64: https://www.phoenix.gov/waterservicessite/Documents/Rates_Ef...
That works out to 0.032¢ per liter. A quarter (25¢) will buy you 760 liters of water, enough to survive for three months. That's about 1000× lower than a price at which even Phoenix's homeless might start dying of thirst due to the cost of water. (Homeless people don't pay the water utility, but they get water from people who do.)
Poor people in the country get their water from wells, which cost money to drill but basically nothing to pump more water from.
Rationing might be a reasonable thing to do to keep the aquifer from being depleted, but it would be likely to hit poor people much harder than rich people, because poor people don't have the political influence to prevent the enactment of regulations that would hurt them badly, such as a requirement for an environmental review before drilling a new drinking-water well.
Rationing could cause poor people to die from lack of access to water. Markets won't, unless you're talking about something like a Mars colony.
Well if you put it like that then I'm starting to wonder what shortage we are talking about in the first place.