The bilateral monopoly model: Approaching certainty under the split-the-difference mechanism
This paper describes a bilateral monopoly model in which two players trading an object submit bids from which a bargaining mechanism determines the transfer price and the probability of trade. The buyer knows only her own benefit from the trade and the probability distribution of the seller's cost. The paper first examines the equilibria of the model under certainty. It is shown that, if restricted to mixed strategies over finite sets, the equilibrium correspondence is lower hemi-continuous at continuity and upper hemi-continuous if restricted to pure strategies and finite prior distributions.