We consider two models of economic growth with exhaustible natural resources, exogenous technical progress and agents heterogeneous in their time preferences. In the first model we assume private ownership of natural resources. We show that every competitive equilibrium in this model converges...

A model of economic growth with many agents and borrowing constraints is considered under the assumption that wages are paid ex ante. It is shown that, in contrast to the traditional case where wages are paid ex post, the convergence of equilibrium paths to a steady-state equilibrium occurs...

We develop two models of economic growth with exhaustible natural resources and consumers heterogeneous in time preferences. The first model assumes private ownership of natural resources. In the second model, natural resources are commonly owned and the resource extraction rate is chosen by...

We introduce a two-classes one-good overlapping generations model of economic growth with bequests. The difference between capitalists and workers is that the firsts have larger discount coefficient and/or higher return to savings. For the model proposed, we define a balanced growth equilibrium...

We analyze equilibrium paths in two models of overlapping generations with reciprocal altruism. The first one allows us to consider a case of different propensity to of consumer to support her children and parents (non-symmetrical altruism). In this model, an equilibrium is a Nash equilibrium....

We consider a Barro-type endogenous growth model in which the government's purchases of goods and services enter into the production function. The provision of government services is financed by flat-rate (linear) income or lump-sum taxes. It is assumed that individuals differing in their...

The optimal reaction to a pending climate catastrophe is to accumulate capital to be better prepared for the disaster and levy a carbon tax to reduce the risk of the hazard by curbing global warming. The optimal carbon tax consists of the present value of marginal damages, the non-marginal...