We consider a production economy where commodities are partitioned into K irreproducible factors and L reproducible goods, and the production technologies have constant returns to scale. We examine the geometry of the global production set in the space of commodities, and we derive theorems of...

We consider a production economy where commodities are partitioned into irreproducible factors and reproducible goods, and the production technologies have constant returns to scale. We examine the geometry of the efficient frontier of the global production set and derive theorems of...

We consider <InlineEquation ID="IEq1"> <EquationSource Format="TEX">$$H$$</EquationSource> <EquationSource Format="MATHML"> <math xmlns:xlink="http://www.w3.org/1999/xlink"> <mi>H</mi> </math> </EquationSource> </InlineEquation> expected utility maximizers that have to share a risky aggregate multivariate endowment <InlineEquation ID="IEq2"> <EquationSource Format="TEX">$$X\in {\mathbb {R}}^{N}$$</EquationSource> <EquationSource Format="MATHML"> <math xmlns:xlink="http://www.w3.org/1999/xlink"> <mrow> <mi>X</mi> <mo>∈</mo> <msup> <mrow> <mi mathvariant="double-struck">R</mi> </mrow> <mi>N</mi> </msup> </mrow> </math> </EquationSource> </InlineEquation> and address the following two questions: does efficient risk-sharing imply restrictions on the form of individual consumptions as a...</equationsource></equationsource></inlineequation></equationsource></equationsource></inlineequation>

The competitive equilibrium correspondence, which associates equilibrium prices of commodities and assets with allocations of endowments, identifies the preferences and beliefs of individals also under uncertainty; this is the case even if the asset market is incomplete.

In many economic contexts, a given function can be disaggregated as a linear combination of gradients. Examples include the literature on the characterization of aggregate demand and excess demand, as initiated by Sonnenschein (1973ab), and the model of efficient household behaviour recently...

We analyze under which conditions a given vector field can be disaggregated as a linear combination of gradients. This problem is typical of aggregation theory, as illustrated by the literature on the characterization of aggregate market demand and excess demand. We argue that exterior...