Payoffs in Nondifferentiable Perfectly Competitive TU Economies
We show that a single-valued solution of non-atomic finite-type market games (or perfectly competitive TU economies underlying them) is uniquely determined as the Mertens value by four plausible value-related axioms. Since the Mertens value is always in the core of an economy, this result provides an axiomatization of a core-selection (or, alternatively, a competitive payoff selection).