This paper provides a price equilibrium existence theorem in economies where commodities may be indivisible and aggregate excess demand functions may be discontinuous. We introduce a very weak notion of continuity, called recursive transfer lower semi-continuity, which is weaker than transfer...

This paper studies the cost requirement for two-agent collusion-proof mechanism design. Unlike the existing results for general environments with three or more agents, it is shown that collusive behavior cannot be prevented freely in two-agent nonlinear pricing environments with correlated...

McAfee and McMillan (1992) investigate the coordinated biding strategies in a strong cartel, in which the cartel members can exclude new entrants and can make transfer payments, and show that the strong cartel mechanism is incentive-compatible and efficient. In this paper however, we show the...

This paper investigates the existence of pure strategy, dominant strategy, and mixed strategy Nash equilibria in discontinuous games. We introduce a new notion of weak continuity, called weak transfer quasi-continuity, which is weaker than most known weak notions of continuity, including...

In nonlinear pricing environment with correlated types, we characterize optimal selling mechanisms when buyers could form a coalition to coordinate their reports and to arbitrage on the goods. We find that when the types of agents are weakly positively correlated, the optimal weakly...