The seminal contribution of Debreu-Scarf (1963) 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...

We study the relation between the fuzzy core and balancedness for fuzzy games. For regular games, this relation has been studied by Bondareva (Problemy Kibernet 10:119–139, <CitationRef CitationID="CR4">1963</CitationRef>) and Shapley (Naval Res Logist Q 14: 453–460, <CitationRef CitationID="CR11">1967</CitationRef>). First, we gain insight in this relation when we analyse...</citationref></citationref>

In this paper, we first give a direct proof of the existence of Edgeworth equilibria for exchange economies with consumption sets which are (possibly) unbounded below. The key assumption is that the individually rational utility set is compact. It is worth noticing that the statement of this...

In this paper, we first give a direct proof of the existence of Edgeworth equilibria for exchange economies with consumption sets which are (possibly) unbounded below. The key assumption is that the individually rational utility set is compact. It is worth noticing that the statement of this...

We study the relation between the fuzzy core and balancedness for fuzzy games. For regular games, this relation has been studied by Bondareva (1963) and Shapley (1967). First, we gain insight in this relation when we analyse situations where the fuzzy game is continuous. Our main result shows...

It has long been known that in economies with satiation, the set of competitive equilibria does not coincide with the limiting core of an economy. Competitive equilibria may fail to exist because satiated agents may choose their optimal consumption bundles in the interiors of their budget sets,...