TY - GEN
T1 - On equilibria for ADM minimization games
AU - Epstein, Leah
AU - Levin, Asaf
PY - 2009
Y1 - 2009
N2 - In the ADM minimization problem, the input is a set of arcs along a directed ring. The input arcs need to be partitioned into non-overlapping chains and cycles so as to minimize the total number of endpoints, where a k-arc cycle contributes k endpoints and a k-arc chain contains k+1 endpoints. We study ADM minimization problem both as a non-cooperative and a cooperative games. In these games, each arc corresponds to a player, and the players share the cost of the ADM switches. We consider two cost allocation models, a model which was considered by Flammini et al., and a new cost allocation model, which is inspired by congestion games. We compare the price of anarchy and price of stability in the two cost allocation models, as well as the strong price of anarchy and the strong price of stability.
AB - In the ADM minimization problem, the input is a set of arcs along a directed ring. The input arcs need to be partitioned into non-overlapping chains and cycles so as to minimize the total number of endpoints, where a k-arc cycle contributes k endpoints and a k-arc chain contains k+1 endpoints. We study ADM minimization problem both as a non-cooperative and a cooperative games. In these games, each arc corresponds to a player, and the players share the cost of the ADM switches. We consider two cost allocation models, a model which was considered by Flammini et al., and a new cost allocation model, which is inspired by congestion games. We compare the price of anarchy and price of stability in the two cost allocation models, as well as the strong price of anarchy and the strong price of stability.
UR - http://www.scopus.com/inward/record.url?scp=71549167326&partnerID=8YFLogxK
U2 - 10.1007/978-3-642-04645-2_31
DO - 10.1007/978-3-642-04645-2_31
M3 - Conference contribution
AN - SCOPUS:71549167326
SN - 3642046444
SN - 9783642046445
T3 - Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
SP - 347
EP - 358
BT - Algorithmic Game Theory - Second International Symposium, SAGT 2009, Proceedings
T2 - 2nd International Symposium on Algorithmic Game Theory, SAGT 2009
Y2 - 18 October 2009 through 20 October 2009
ER -