In this paper we present a set of axioms guaranteeing that, in exchange economies with or without indivisible goods, the set of Nash, Strong and active Walrasian Equilibria all coincide in the framework of market games.The first author thanks financial support from DGICYT and Direcció General de Recerca under projects PB98-0870 and SGR2000-00054. The second author wishes to acknowledge financial help from DGICYT under project PB98-0940.