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PUBLIC SECTOR RATIONING AND PRIVATE SECTOR SELECTION
SIMONA GRASSI
University of Lausanne
CHING-TO ALBERT MA
Boston University
Abstract
We study the interaction between nonprice public rationing
and prices in the private market. Under a limited budget,
the public supplier uses a rationing policy. A private firm
may supply the good to those consumers who are rationed
by the public system. Consumers have different amounts
of wealth, and costs of providing the good to them vary.
We consider two regimes. First, the public supplier observes
consumers’ wealth information; second, the public supplier
observes both wealth and cost information. The public sup-
plier chooses a rationing policy, and, simultaneously, the pri-
vate firm, observing only cost but not wealth information,
chooses a pricing policy. In the first regime, there is a con-
tinuum of equilibria. The Pareto dominant equilibrium is a
means-test equilibrium: poor consumers are supplied while
rich consumers are rationed. Prices in the private market
increase with the budget. In the second regime, there is
a unique equilibrium. This exhibits a cost-effectiveness ra-
tioning rule; consumers are supplied if and only if their
cost–benefit ratios are low. Prices in the private market do
not change with the budget. Equilibrium consumer utility is
Simona Grassi, Faculty of Business and Economics, Department of Economics and Econo-
´
metrics, and Institut d’Economie et de Ma
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