Consider an oligopoly in which firms compete in quantity, the market inverse demand is strictly decreasing (on the set of quantities for which the price is positive), twice differentiable and log-concave, and each of the firms has nondecreasing, twice differentiable cost of production (not...

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...