In this paper we present two general results on the existence of a discrete zero point of a function from the n-dimensional integer lattice Zn to the n-dimensional Euclidean space Rn. Under two different boundary conditions, we give a constructive proof using a combinatorial argument based on a...

We consider the classical duality operators for convex objects suchas the polar of a convex set containing the origin, the dual norm,the Fenchel-transform of a convex function and the conjugate of aconvex cone. We give a new, sharper, unified treatment of the theoryof these operators, deriving...

Up to now a clear theoretical and methodological framework for economic-environmental analysis of environmentally damaging subsidies is lacking. Environmentally damaging subsidies are all kinds of direct and indirect subsidies aimed at achieving a certain (often non-environmental) goal that...

We argue that expectations about future energy use affect the transition from fossil fuels to renewable substitutes, because of an interaction between innovation and resource scarcity. The paper presents a model of directed technical change to study this interaction. We find that resource-saving...

Optimal climate policy is studied in a Ramsey growth model with exhaustible oil reserves, an infinitelyelastic supply of renewables, stock-dependent oil extraction costs and convex climate damages. Weconcentrate on economies with an initial capital stock below that of the steady state of the...

Carbon capture and storage (CCS) seems an appealing option to meet the ambitious objectives of the Paris Agreement. Captured CO2 emissions can also be injected in active fields to enhance recovery: Carbon capture and utilization (CCU). We study a dynamic model of CCS and CCU of an economy...