The taxation of capital returns in overlapping generations economies without financial assets

I show in this paper that in an overlapping generations economy with production à la Diamond (1970) in which the agents can only save in terms of capital (i.e. with not asset bubbles à la Tirole (1985) or public debt as in Diamond (1965)), there is a period-by-period balanced fiscal policy supporting a steady state allocation that Pareto-improves upon the laissez-faire competitive equilibrium steady state (whithout having to resort to intergenerational transfers) if there is no first generation or the economy starts there. A transition from the competitive equilibrium steady state to this other allocation is also Pareto-improving if the former is dynamically inefficient, but even in the dynamically efficient case if the elasticity of output to capital is high enough. This intervention allows every subsequent generation to attain, as a competitive equilibrium outcome, the highest utility attainable at a steady state through the existing markets for the consumption good and the production factors. The active fiscal policy consists of taxing (or subsidizing, in the dynamically efficient case) linearly the returns to capital, while balancing the budget period by period through a lump-sum transfer (or tax, respectively) on second period income. This policy does not finance any public spending, since there is none in the model. The only purpose of the intervention is to decentralize as a competitive equilibrium the steady state allocation that maximizes the utility of the representative agent among all steady state allocations attainable through the existing markets.Taxation of capital, overlapping generations.

The taxation of capital returns in overlapping generations economies without Financial assets

I show in this paper that in an overlapping generations economy with production à la Diamond (1970) in which the agents can only save in terms of capital (i.e. with no asset bubbles à la Tirole (1985) or public debt as in Diamond (1965)), there is a period-by- period balanced fiscal policy supporting a steady state allocation that Pareto-improves upon the laissez-faire competitive equilibrium steady state (without having to resort to intergenerational transfers) if there is no first generation or the economy starts there. A transition from the competitive equilibrium steady state to this other allocation is also Pareto-improving if the former is dynamically inefficient, but even in the dynamically effcient case if the elasticity of output to capital is high enough. This intervention allows every subsequent generation to attain, as a competitive equilibrium outcome, the highest utility attainable at a steady state through the existing markets for the consumption good and the production factors. The active fiscal policy consists of taxing (or subsidizing, in the dynamically efficient case) linearly the returns to capital, while balancing the budget period by period through a lump-sum transfer (or tax, respectively) on second period income. This policy does not finance any public spending, since there is none in the model. The only purpose of the intervention is to decentralize as a competitive equilibrium the steady state allocation that maximizes the utility of the representative agent among all steady state allocations attainable through the existing markets.taxation of capital, overlapping generations.

The taxation of savings in overlapping generations economies with unbacked risky assets

This paper establishes, in the context of the Diamond (1965) overlapping generations economy with production, that the risk that savings in unbacked assets (like fiat money or public debt) become worthless implies that, not only the first-best steady state, but even the best steady state attainable with those saving instruments fails to be a competitive equilibrium outcome under laissez-faire. It is nonetheless shown as well that this best monetary steady state can be implemented as a competitive equilibrium with the adequate policy of taxes on returns to capital, subsidies to returns to monetary savings, and lump-sum transfers. Interestingly enough, this policy requires no redistribution of income among agents, unlike the implementation of the first-best steady state. The policy is balanced every period at the steady state and, since no public spending exists in the model, it serves the only purpose of implementing a steady state that provides all agents with a higher utility than the laissez-faire competitive equilibrium steady state. The results thus provide a rationale for an active fiscal policy that has nothing to do with redistributive goals or the need to fund any kind of public sendingtaxation of savings, overlapping generations, asset bubble

The taxation of savings in overlapping generations economies with unbacked risky assets

This paper establishes, in the context of the Diamond (1965) overlapping generations economy with production, that the risk that savings in unbacked assets (like fiat money or public debt) become worthless implies that, not only the first-best steady state, but even the best steady state attainable with those saving instruments fails to be a competitive equilibrium outcome under laissez-faire. It is nonetheless shown as well that this best monetary steady state can be implemented as a competitive equilibrium with the adequate policy of taxes on returns to capital, subsidies to returns to monetary savings, and lump-sum transfers. Interestingly enough, this policy requires non redistribution of income among agents, unlike the implementation of the first-best steady state. The policy is balanced every period at the steady state and, since no public spending exists in the model, it serves the only purpose of implementing a steady state that provides all agents with a higher utility than the laissez-faire competitive equilibrium steady state. The results thus provide a rationale for an active fiscal policy that has nothing to do with redistributive goals or the need to fund any kind of public sending.Taxation of savings, overlapping generations, asset bubble.

The rationality of expectations formation and excess volatility

I establish, in simple deterministic overlapping generations economies, that if each agent holds rationally formed expectations in the sense that any other expectations justifying his choices imply a smaller likelihood for the history he observes with limited memory, then there are rationally formed expectations equilibria exhibiting an excess volatility that no rational expectations equilibrium can match. Given that the limited records or finite memory case may arguably be the relevant one from a positive viewpoint, this result suggests that the possibility of excess volatility as an equilibrium phenomenon has been downplayed by the use of the rational expectations hypothesis.Expectations, rationality, volatility.

Reducing Overlapping Generations Economies to Finite Economies

This paper establishes an identification of stationary equilibria of an infinite-horizon economy and equilibria of a naturally related finite economy. More specifically, the connection is established, firstly, between cycles of an overlapping generations economy and the equilibria of a finite economy with a cyclical structure. Such connection is then extended to hold also when extrinsic uncertainty is introduced in the models. In order to obtain the adequate counterpart of the connection once the extrinsic uncertainty is introduced, we are lead to consider in the overlapping generations framework sunspot equilibria of a broad class, called here sunspot cycles. The previous connections between the equilibria of the two frameworks, with and without sunspots, are used to show that: a) overlapping generations economies allowing for heterogeneity across generations typically fluctuate aperiodically for arbitrarily long periods of time, while nevertheless being able to exhibit an approximate cyclical behavior during those periods and b) the presence of asymmetric information on an extrinsic uncertainty may induce continua of equilibria in finite economies.

On the fiscal treatment of life expectancy related choices

In an overlapping generations economy setup we show that, if individuals can improve their life expectancy by exerting some effort, costly in terms of either resources or utility, the competitive equilibrium steady state differs from the first best steady state. This is due to the fact that under perfect competition individuals fail to anticipate the impact of their longevity-enhancing effort on the return of their annuitized savings. We identify the policy instruments required to implement the first-best into a competitive equilibrium and show that they are specific to the form, whether utility or resources, that the effort takes.life expectancy, health expenditures, taxation

Implementing steady state efficiency in overlapping generations economies with environmental externalities

We consider in this paper overlapping generations economies with polution resulting from both consumption and production. The competitive equilibrium steady state is compared to the optimal steady state from the social planner's viewpoint. We show that any competitive equilibrium steady state whose capital-labor ratio exceeds the golden rule ratio is dynamically inefficient. Moreover, the range of dynamically efficient steady states capital ratios increases with the effectiveness of the environment maintainance technology, and decreases for more polluting production technologies. We characterize some tax and transfer policies that decentralize as a competitive equilibrium outcome the social planner's steady state.Overlapping generations, environmental externality, tax and transfer policy.

On the fiscal treatment of life expectancy related choices

In an overlapping generations economy setup we show that, if individuals can improve their life expectancy by exerting some effort, costly in terms of either resources or utility, the competitive equilibrium steady state differs from the first best steady state. This is due to the fact that under perfect competition individuals fail to anticipate the impact of their longevity-enhancing effort on the return of their annuitized savings. We indentify the policy instruments required to implement the first-best into a competitive equilibrium and show that they are specific to the form, whether utility or resources, that the effort takes.Life expectancy, health expenditures, taxation.