TY - JOUR
T1 - On cooperative games related to market situations and auctions
AU - Branzei, Rodica
AU - Fragnelli, Vito
AU - Meca, Ana
AU - Tijs, Stef
N1 - Funding Information:
The research of the second author is partially supported by the project “Mobilità Internazionale” of the University of Eastern Piedmont. The research of the last two authors is partially supported by Spanish Ministry of Education and Science grant number MTM2005-09184-C02-02.
PY - 2009/12
Y1 - 2009/12
N2 - 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 are known by all of them. Then two types of cooperative games, which we call market games and ring games, corresponding to such market situations are considered. Market 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 market game and the ring game arising from the same two-corner market situation. For both classes of games relevant solution concepts are studied.
AB - 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 are known by all of them. Then two types of cooperative games, which we call market games and ring games, corresponding to such market situations are considered. Market 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 market game and the ring game arising from the same two-corner market situation. For both classes of games relevant solution concepts are studied.
KW - C71
UR - http://www.scopus.com/inward/record.url?scp=77951578125&partnerID=8YFLogxK
U2 - 10.1142/S0219198909002443
DO - 10.1142/S0219198909002443
M3 - Article
SN - 0219-1989
VL - 11
SP - 459
EP - 470
JO - International Game Theory Review
JF - International Game Theory Review
IS - 4
ER -