Strong price of anarchy
AbstractA strong equilibrium is a pure Nash equilibrium which is resilient to deviations by coalitions. We define the strong price of anarchy (SPoA) to be the ratio of the worst strong equilibrium to the social optimum. Differently from the Price of Anarchy (defined as the ratio of the worst Nash Equilibrium to the social optimum), it quantifies the loss incurred from the lack of a central designer in settings that allow for coordination. We study the SPoA in two settings, namely job scheduling and network creation. In the job scheduling game we show that for unrelated machines the SPoA can be bounded as a function of the number of machines and the size of the coalition. For the network creation game we show that the SPoA is at most 2. In both cases we show that a strong equilibrium always exists, except for a well defined subset of network creation games.
Download InfoIf you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.
As the access to this document is restricted, you may want to look for a different version under "Related research" (further below) or search for a different version of it.
Bibliographic InfoArticle provided by Elsevier in its journal Games and Economic Behavior.
Volume (Year): 65 (2009)
Issue (Month): 2 (March)
Contact details of provider:
Web page: http://www.elsevier.com/locate/inca/622836
Strong equilibrium Price of anarchy Strong price of anarchy Coalitions Congestion games Network formation Job scheduling;
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- Holzman, Ron & Law-yone (Lev-tov), Nissan, 2003. "Network structure and strong equilibrium in route selection games," Mathematical Social Sciences, Elsevier, vol. 46(2), pages 193-205, October.
- Igal Milchtaich, 1998. "Crowding games are sequentially solvable," International Journal of Game Theory, Springer, vol. 27(4), pages 501-509.
- Dutta, Bhaskar & Mutuswami, Suresh, 1997.
Journal of Economic Theory,
Elsevier, vol. 76(2), pages 322-344, October.
- Holzman, Ron & Law-Yone, Nissan, 1997. "Strong Equilibrium in Congestion Games," Games and Economic Behavior, Elsevier, vol. 21(1-2), pages 85-101, October.
- Hervé Moulin & Scott Shenker, 2001. "Strategyproof sharing of submodular costs:budget balance versus efficiency," Economic Theory, Springer, vol. 18(3), pages 511-533.
- Monderer, Dov & Shapley, Lloyd S., 1996. "Potential Games," Games and Economic Behavior, Elsevier, vol. 14(1), pages 124-143, May.
- Bernheim, B. Douglas & Peleg, Bezalel & Whinston, Michael D., 1987. "Coalition-Proof Nash Equilibria I. Concepts," Journal of Economic Theory, Elsevier, vol. 42(1), pages 1-12, June.
- Ruben Juarez & Rajnish Kumar, 2013.
"Implementing efficient graphs in connection networks,"
Springer, vol. 54(2), pages 359-403, October.
- Ruben Juarez & Rajnish Kumar, 2012. "Implementing Efficient Graphs in Connection Networks," Working Papers 201203, University of Hawaii at Manoa, Department of Economics.
- Rajnish Kumar & Ruben Juarez, . "Implementing Efficient Graphs in Connection Networks," Departmental Working Papers 2011-03, Department of Economics, Louisiana State University.
- Ruben Juarez & Rajnish Kumar, 2010. "Implementing Efficient Graphs in Connection Networks," Working Papers 201022, University of Hawaii at Manoa, Department of Economics.
- Martin Hoefer, 2013. "Strategic cooperation in cost sharing games," International Journal of Game Theory, Springer, vol. 42(1), pages 29-53, February.
- Tobias Harks & Max Klimm & Rolf Möhring, 2013. "Strong equilibria in games with the lexicographical improvement property," International Journal of Game Theory, Springer, vol. 42(2), pages 461-482, May.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Zhang, Lei).
If references are entirely missing, you can add them using this form.