In this paper we use the CMM model (Chakravorty et al., 2006) in discrete time and obtain more results concerning the exhaustion time of Non-Renewable Resource (NRE), the dynamic regimes of energy prices, of the stocks of pollution. We show that NRE is exhausted in finite time and is directly...

The main contribution of the paper is to provide a weaker non-satiation assumption than the one commonly used in the literature to ensure the existence of competitive equilibrium. Our assumption allows for satiation points in the set of individually feasible consumptions, provided that the...

In this paper, we study the existence of an intertemporal equilibrium in a Ramsey model with heterogenous discounting, elastic labor supply and borrowing constraints. Applying a fixed-point argument by Gale and Mas-Colell (1975), we prove the existence of an equilibrium in a truncated bounded...

There are two main approaches for defining social welfare relations for an economy with infinite horizon. The first one is to consider the set of intertemporal utility streams generated by a general set of bounded consumptions and define a preference relation between them. This relation is...

The theory of existence of equilibrium with short-selling is reconsidered under risk and ambiguity modelled by risk averse variational preferences. A sufficient condition for existence of efficient allocations is that the relative interiors of the risk adjusted sets of expectations overlap. This...

This paper proves the existence of competitive equilibrium in a single-sector dynamic economy with heterogeneous agents, elastic labor supply and complete assets markets. The method of proof relies on some recent results concerning the existence of Lagrande multipliers in infinite dimensional...

Most of the international asset pricing models are developed in the situation where purchasing power parity (PPP) is not respected. Investors of different countries do not agree on expected security returns. However, in this case, an equilibrium on the international assets market may exist but...

Upon introducing natural resources, both renewable and non-renewable, into an endogenous growth framework with R&D, this paper derives the transitional dynamics of an economy towards its long-run equilibrium. Using the Euler - Lagrange framework, this paper has succesfully figured out the...

We set up a theoretical framework to discuss the impact of trade liberalization and R&D policies on domestic exporting firms' incentive to innovate and social welfare. In this framework, exporting firms invest in R&D to reduce their production costs and, in return, receive R&D subsidies from the...

This article reconsiders the theory of existence of efficient allocations and equilibria when consumption sets are unbounded below under the assumption that agents have incomplete preferences. It is motivated by an example in the theory of assets with short-selling where there is risk and...