A stumbling block in the modelling of competitive markets with commodity and price spaces of infinite dimensions, arises from having positive cones with an empty interior. This issue precludes the use of tools of differential analysis, ranging from the definition of a derivative, to the use of...

It is shown that two arbitrary equilibria in the general equilibrium model without sign restrictions on endowments can be joined by a continuous equilibrium path that contains at most two critical equilibria. This property is strengthened by showing that regular equilibria having an index equal...

Following the paradigm of neoclassical economics, the price mechanism is often considered as the unique efficient vehicle for driving the free markets; therefore, there is no any position for the government's role in an Arrow-Debreu's economy. However, there is no real evidence to support that...

Spanish Abstract: Este artículo, que es a la vez una contribución a la historia del pensamiento económico y una aclaración de la teoría del desarrollo económico en la que se basó el Plan de Desarrollo colombiano de 1970-1974, Las cuatro estrategias, discute la propuesta de Paul...

We study a simple variant of the von Neumann model of an expanding economy, in which multiple producers produce goods according to their production function. The players trade their goods at the market and then use the bundles acquired as inputs for the production in the next round. We show that...

This chapter reviews the theory of the voluntary public and private redistribution of wealth elaborated by economic analysis in the last forty years or so. The central object of the theory is altruistic gift-giving, construed as benevolent voluntary redistribution of income or wealth. The theory...

We discover that letting agents pairwise sequentially exchange at "wrong" prices has a robust effect on prices at convergence. If the initial relative price for a good is cheaper than the equilibrium walrasian price due to initial endowments, the initial excess demand effect pushes resource...

We investigate the geometry of finite datasets defined by equilibrium prices, income distributions, and total resources. We show that the equilibrium condition imposes no restrictions if total resources are collinear, a property that is robust to small perturbations. We also show that the set of...

The arguments that the alarming level of Gini coefficient is 0.4 are widely reported. However, to the authors' knowledge, it is not based upon any rigid economic theories. In this paper, they show that Rawls' fairness is compatible with the standard model of competitive markets. This finding...

This paper characterizes the out-of-equilibrium dynamics of a symmetric, pure exchange economy with two goods and N agents with uniformly distributed preferences and identical endowments. Relaxing the auctioneer assumption, but maintaining a global price rule, sequentially random pairwise...