The main requirements for equivalence of the core of an economy and the Walrasian equilibrium allocations are largeness and the freedom to form almost arbitrary coalitions in the Edgeworthian barter processes. We investigate whether constraints on coalition formation and coalitional barter alter...

Menezes and Monteiro, Math. Soc. Sci. (1995), show that a multi-unit discriminatory price auction does not have a pure strategy equilibrium unless one imposes some rather special conditions on the demand functions. This non-existence result might indicate a problem either with the underlying...

We introduce uncertainty in our general equilibrium model with multi-member groups, following the classical state-space approach of Arrow-Debreu. A host of new interesting economic issues emerge. First, risk averse agents can attempt to insure themselves through markets or through mutual...