In this paper we analyze the intertemporal competitive equilibrium of a walrasian model of capital accumulation. We prove the existence of equilibria by generalizing a result of Todd (1979). We overcome the indeterminacy in savings allocation to multiple types of capital goods by introducing a...

This paper documents an early fork in the development of macroeconomics, by examining a debate between the Dutch economists Jan Tinbergen and Johan Koopmans. In a 1932 paper, Tinbergen argued that two firms could be stuck in a 'bad' equilibrium in the absence of a coordinated action to increase...

This paper documents an early fork in the development of macroeconomics, by examining a debate between the Dutch economists Jan Tinbergen and Johan Koopmans. In a 1932 paper, Tinbergen argued that two firms could be stuck in a “bad” equilibrium in the absence of a coordinated action to...

The notion of solution plays a crucial role in the conceptual system of Léon Walras, the founder of General Equilibrium Theory (GET). In this paper, after introducing the two solution concepts employed by Walras in the development of his version of GET, respectively called the "theoretical" and...

Walras' theory of general economic equilibrium undergoes deep changes over the twenty-six years elapsing from the date when Walras' first significant theoretical contribution is published (1874) and the date when the fourth edition of his fundamental work, the Eléments d'économie politique...

The primary goal of the paper is to deliver a simple proof of equivalence between Brouwer’s fixed point theorem and the existence of equilibrium in a simple exchange model with monotonic consumers. To achieve this end, we discuss some equivalent formulations of Brouwer’s theorem and prove...

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...

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...

We study the existence of equilibrium and rational bubbles in a Ramsey model with heterogeneous agents, borrowing constraints and endogenous labor. Applying a Kakutani's fixed-point theorem, we prove the existence of equilibrium in a time-truncated bounded economy. A common argument shows this...

Private state-verification is introduced in a two-period economy with spot markets in both periods and complete futures markets for contingent delivery in the second period. Existence of equilibrium is established, under standard assumptions. The equilibrium allocation is shown to be generically...