The price of anarchy in cooperative network creation games

A fundamental family of problems at the intersection between computer science and operations research is network design. This area of research has become increasingly important given the continued growth of computer networks such as the Internet. Traditionally, we want to find a minimum-cost (sub)network that satisfies some specified property such as k-connectivity or connectivity on terminals (as in the classic Steiner tree problem). This goal captures the (possibly incremental) creation cost of the network, but does not incorporate the cost of actually using the network. In contrast, network routing has the goal of optimizing the usage cost of the network, but assumes that the network has already been created.

[1]  Rajmohan Rajaraman,et al.  Bounded budget connection (BBC) games or how to make friends and influence people, on a budget , 2008, PODC '08.

[2]  Robert J. Aumann,et al.  16. Acceptable Points in General Cooperative n-Person Games , 1959 .

[3]  S. Fischer Selfish Routing , 2002 .

[4]  Tim Roughgarden,et al.  The price of stability for network design with fair cost allocation , 2004, 45th Annual IEEE Symposium on Foundations of Computer Science.

[5]  Tim Roughgarden,et al.  Selfish Routing , 2002 .

[6]  Susanne Albers,et al.  On the value of coordination in network design , 2008, SODA '08.

[7]  Yishay Mansour,et al.  A Network Creation Game with Nonuniform Interests , 2007, WINE.

[8]  Éva Tardos,et al.  Near-optimal network design with selfish agents , 2003, STOC '03.

[9]  Y. Mansour,et al.  On Nash Equilibria for a Network Creation Game , 2006, TEAC.

[10]  Jon M. Kleinberg,et al.  Navigation in a small world , 2000, Nature.

[11]  Ronald D. Dutton,et al.  Edges in graphs with large girth , 1991, Graphs Comb..

[12]  Berthold Vöcking,et al.  Tight bounds for worst-case equilibria , 2002, SODA '02.

[13]  Yair Bartal,et al.  On approximating arbitrary metrices by tree metrics , 1998, STOC '98.

[14]  Christos H. Papadimitriou,et al.  Worst-case equilibria , 1999 .

[15]  Shang-Hua Teng,et al.  Lower-stretch spanning trees , 2004, STOC '05.

[16]  Scott Shenker,et al.  On a network creation game , 2003, PODC '03.

[17]  Yishay Mansour,et al.  Strong price of anarchy , 2007, SODA '07.

[18]  Michael Kearns,et al.  A Small World Threshold for Economic Network Formation , 2006, NIPS.

[19]  M. Jackson A Survey of Models of Network Formation: Stability and Efficiency , 2003 .

[20]  David C. Parkes,et al.  The price of selfish behavior in bilateral network formation , 2005, PODC '05.

[21]  Tim Roughgarden The price of anarchy is independent of the network topology , 2003, J. Comput. Syst. Sci..

[22]  Morteza Zadimoghaddam,et al.  The Price of Anarchy in Cooperative Network Creation Games , 2009, STACS.

[23]  Satish Rao,et al.  A tight bound on approximating arbitrary metrics by tree metrics , 2003, STOC '03.

[24]  Tim Roughgarden,et al.  Selfish routing and the price of anarchy , 2005 .

[25]  J. Nash Equilibrium Points in N-Person Games. , 1950, Proceedings of the National Academy of Sciences of the United States of America.

[26]  Christos H. Papadimitriou,et al.  Algorithms, Games, and the Internet , 2001, ICALP.

[27]  Ion Stoica,et al.  Characterizing selfishly constructed overlay routing networks , 2004, IEEE INFOCOM 2004.

[28]  Frank Thomson Leighton,et al.  Multicommodity max-flow min-cut theorems and their use in designing approximation algorithms , 1999, JACM.

[29]  J. Nash NON-COOPERATIVE GAMES , 1951, Classics in Game Theory.

[30]  Morteza Zadimoghaddam,et al.  The price of anarchy in network creation games , 2007, PODC '07.