For two independent principles of intergenerational equity, the implied discount rate equals the growth rate of real per capita income, say, 2%, thus falling right into the range suggested by the U.S. Office of Management and Budget. To prove this, we develop a simple tool to evaluate small...

We generalise the classical implicit function theorem (IFT) for a family of Banach spaces, with the resulting implicit function having derivatives that are locally Lipschitz to very strong operator norms.

We introduce 2 parameter variants L_{p,q} of the Lebesgue spaces, to gain separate control on the asymptotic behaviour (p) and the local behaviour (q). Thus they behave with respect to p like the spaces ell_p and with respect to q like the spaces L_q on a probability space. Convolution behaves...

For an overlapping generations economy with varying life-cycle productivity, non-stationary endowments, continuous time starting at infinity (hence allowing for full anticipation), constant-returns-to-scale production and ces utility we fully characterise equilibria where output is higher than...

A necessary condition is time-invariance, which is satisfied by any common solution concept in an overlapping generations model with exogenous growth. The method is applied to derive the discount rate for cost-benefit analysis under two different utilitarian welfare functions: traditional and...

For an overlapping generations economy with varying life-cycle productivity, non-stationary endowments, continuous time starting at −∞(hence allowing for full anticipation), constant-returns-to-scale production and CES utility we fully characterise equilibria where output is higher than...

Current Office of Management and Budget (OMB) guidelines use the interest rate as a basis for the discount rate, and have nothing to say about an intergenerationally fair discount rate. We derive this discount rate by differentiating a social welfare function with respect to perturbations in...

Do greater potential gains from trade enhance or erode contracting institutions? In an anonymous exchange environment traders can sign a contract, hence agreeing to interact with the assigned partner, or wait till the next match. Any contract can be endorsed (for a pay) by the enforcement...

We study the asymptotic nucleolus of a smooth and symmetric oligopoly with an atomless sector. We show that under appropriate assumptions, the asymptotic nucleolus of the TU market game coincides with the unique TU competitive payoff distribution. This equivalence results from nucleolus of a...