Time consistent fiscal policies in a Ramsey economy

This paper revisits a well-known case of optimal fiscal policy in a Ramsey model where consumer utility is defined over consumption and public goods. We show that normalising the size of the population to one eliminates the scope for active policy-making since the decentralised equilibrium coincides with social planning. Then, we modify the model to allow for a population of N > 1 agents, whereby restoring the role of the government as a policymaker. Both in the Stackelberg case and in the decentralised game, we prove that optimal fiscal policy and consumption are not only time consistent but also subgame perfect