We show how to use properties of the vectors which are iterated in the transfer-matrix approach to Anderson localization, in order to generate the statistical distribution of electronic wave-function amplitudes at arbitrary distances from the origin of L3` disordered systems. For d51 our approach is shown to reproduce exact diagonalization results available in the literature. In d52, where stri...

The seminal contribution of Debreu-Scarf [4] connects the two concepts of core and competitive equilibrium in exchange economies. In effect, their core-equilibrium equivalence result states that, when the set of economic agents is replicated, the set of core allocations of the replica economy shrinks to the set of competitive allocations. Florenzano [6] defines the fuzzy core as the set of allo...

Following Shapley (1976), we study the problem of the existence of a Nash Equilibrium (NE) in which each trading post is either active or “legitimately” inactive, and we call it a Shapley NE. We consider an example of an exchange economy, borrowed from Cordella and Gabszewicz (1998), which satisfies the assumptions of Dubey and Shubik (1978), and we show that the trivial equilibrium, the unique...

The main contribution of the paper is to provide a weaker nonsatiation assumption than the one commonly used in the literature to ensure the existence of competitive equilibrium. Our assumption allows for satiation points inside the set of individually feasible consumptions, provided that the consumer has satiation points available to him outside this set. As a result, we show the concept of eq...

Although FDI is widely believed to have a positive effect on economic growth, the exact mechanism of how FDI impacts upon the development process of the newly industrialising economies is far from being well understood. This paper presents and tests two propositions on the role of FDI in economic growth from a newly industrialising economy’s perspective. First, FDI is a mover of production effi...

In overlapping-generations economies with perfect financial markets and lumpsum taxation, restrictions on the government budget deficit do not limit the set of achievable allocations. For economies in which the tax instruments are distortionary and limited in number, this strong form of irrelevance does not hold even if markets are perfect. We propose a weaker (but natural) definition of irrele...

Closed exchange and production-and-exchange economies may have multiple equilibria, a fact that is usually ignored in macroeconomic models. Our basic argument is that default and bankruptcy laws are required to prevent strategic default, and these laws can also serve to provide the conditions for uniqueness. In this paper we report experimental evidence on the effectiveness of this approach to ...

We present an equilibrium model of a moral-hazard economy with one firm and financial markets, where a stock and bonds are traded. We show that it is optimal for the principal to forbid the agent to trade the stock; that the second-best interest rate is lower than the first-best interest rate; and that the second-best equity premium can be higher or lower than the first best equity premium. We ...

We consider a simple model of a pure exchange economy under uncertainty with two periods, one physical good, and …nitely many states of the world. Denoting the number of the states by S, we prove that there exists a sequence of S securities, all in zero net supply, such that if they are introduced into markets one by one in the order of the sequence, then the security markets eventually become ...

Different classes of anti HIV-1 drugs are now available for treatment of HIV-1 infection. Although improved, these drugs show adverse effects and their long-term efficiency is severely hampered by the emergence of resistant viruses. Therefore, less toxic and more effective anti HIV-1 therapeutics agents are still needed. This thesis aimed to evaluate the anti HIV-1 activity of the small molecul...