Nash implementation with a private good (Q1865168)

The author constructs a mechanism for the implementation of constrained Lindahl outcomes in the presence of a private transferable good and shows that an outcome is a Nash equilibrium if and only if it is constrained Lindahl. Next, the author considers the implementation of a class of social choice rules based on price, again establishing a Nash equilibrium criterion. Finally, the author generalizes arbitrary social planning problems subject to the conditions of montonicity and the existence of a private good.