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...

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...

and that the derivative at the balanced growth equilibrium can be computed analytically from the primitives of the model.

We prove here the existence of a value (of norm 1) on the spaces 'NA and even 'AN, the closure in the variation distance of the linear space spanned by all games f o \mu, where \mu is a non-atomic, non-negative finitely additive measure of mass 1 and f a real-valued function on [0, 1] which...

We prove that games with absorbing states with compact action sets have a value.

We introduce a new class of measures of scholarly influence, which we term step-based indices. This class includes the prominent h-index, the publication count, and the i10-index. We show that the class of step-based indices is characterized by three axioms, consistency with worse scientists,...