Two Classes of Cooperative Games Related to One-Object Auction Situations

Abstract

We consider a market situation with two corners. One corner consists of a single seller with one object, and the other corner consists of potential buyers who all want the object. We suppose that the valuations of the object for the different buyers is known by all of them. Then two cooperative games, which we call the auction game and the ring game, corresponding to such a market situation are considered. Auction games are related to special total big boss games, while ring games are related to special convex games, the peer group games. It turns out that there exists a duality relation between the auction game and the ring game arising from the same two-corner market situation. For both classes of games relevant solution concepts are studied.

Keywords: market games, ring games, one-object auction situations, big boss games, peer group games

JEL Classification: C71