We characterize the core and the competitive allocations of a continuum economy as strong Nash equilibria of an associated game with only two players.

For an exchange economy, under assumptions which did not bring about the existence of equilibrium with dividends as yet, we prove the non-emptiness of the Edgeworth rejective core. Then, via Konovalov (1998, 2005)’s decentralization result, we solve the equilibrium with dividends existence...