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188宝金博页面版: The Price of Anarchy in Cooperative Network Creation Games

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内容提示: The Price of Anarchy inCooperative Network Creation GamesERIK D. DEMAINEMIT, Cambridge, MassachusettsandMOHAMMADTAGHI HAJIAGHAYIAT&T Labs — Research, Florham Park, New JerseyandHAMID MAHINISharif University of Technology, Tehran, IranandMORTEZA ZADIMOGHADDAMMIT, Cambridge, Massachusetts1. INTRODUCTIONA fundamental family of problems at the intersection between computer science andoperations research is network design. This area of research has become increasinglyimportant given the continued growth of com...

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The Price of Anarchy inCooperative Network Creation GamesERIK D. DEMAINEMIT, Cambridge, MassachusettsandMOHAMMADTAGHI HAJIAGHAYIAT&T Labs — Research, Florham Park, New JerseyandHAMID MAHINISharif University of Technology, Tehran, IranandMORTEZA ZADIMOGHADDAMMIT, Cambridge, Massachusetts1. INTRODUCTIONA fundamental family of problems at the intersection between computer science andoperations research is network design. This area of research has become increasinglyimportant given the continued growth of computer networks such as the Internet.Traditionally, we want to find a minimum-cost (sub)network that satisfies somespecified property such as k-connectivity or connectivity on terminals (as in theclassic Steiner tree problem). This goal captures the (possibly incremental) creationcost 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.Network creation games attempt to unify the network design and network routingproblems by modeling both creation and usage costs. In general, the game is playedon a host graph, where each node is an independent agent (player), and the goalis to create a network from a subgraph of the host graph. Collectively, the nodesdecide which edges of the host graph are worth creating as links in the network.Every link has the same creation cost α. (Equivalently, links have creation costs ofA preliminary version of this paper appeared in Proceedings of the 26th International Symposiumon Theoretical Aspects of Computer Science, 2008, pages 171–182. This work was done whileM. Hajiaghayi was at MIT and CMU and M. Zadimoghaddam was at Sharif University of Tech-nology. H. Mahini was supported in part by Institute for Theoretical Physics and Mathematics(IPM) under grant number CS1384-2-01.Author’s addresses: E. Demaine, M. Zadimoghaddam, Computer Science and Artificial Intelli-gence Laboratory, MIT, 32 Vassar St., Cambridge, MA 02139, USA, e-mail: {edemaine,morteza}@mit.edu; M. Hajiaghayi, AT&T Labs — Research, 180 Park Ave., Florham Park, NJ 07932, USA,e-mail: hajiagha@research.att.com; H. Mahini, Department of Computer Engineering, Sharif Uni-versity of Technology, Azadi St., Tehran, Iran, e-mail: mahini@ce.sharif.edu.ACM SIGecom Exchanges, Vol. 8, No. 2, December 2009.

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