We characterize the Pareto correspondence, the core and the Walras solution using the axioms of consistency, converse consistency and one-person rationality. Consistency and its converse are defined with respect to suitably constructed reduced economies for each case. Our results hold for the...

We study a decentralized matching model in a large exchange economy, in which trade takes place through non--cooperative bargaining in coalitions of finite size. Under essentially the same conditions of core equivalence, we show that the strategic equilibrium outcomes of our model coincide with...