2x2 Delegation Games With Implementability In Weakly Undominated SPNE
In this paper we study delegation environments based on Fershtman, Judd, and Kalai (, hereafter FJK). By imposing a certain assumption on the notion of implementability, called implementability with mutually rational agents, they show that every efficient outcome can be fully implemented in subgame perfect Nash equilibrium (SPNE). For their analysis, we first argue that FJK's model can and should be interpreted as a problem in mechanism design. With this in mind, we first modify their model so that agents' participation decision is explicitly built in. Then, we argue that FJK uses a non-standard solution concepts in the mechanism design literature -- in order to attain full implementability, they strengthen notion of implementability, instead of using a refined equilibrium concept. In response, we follow the standard mechanism design approach -- employ a refined SPNE (weakly undominated SPNE, U-SPNE) as the equilibrium concept, while keeping the notion of the implementability unchanged. By applying U-SPNE, we show that in certain classes of 2x2 games -- including prisoners' dilemma, coordination games, and battle of sexes -- every efficient outcome is fully implementable in U-SPNE.
|Date of creation:||03 Apr 2012|
|Contact details of provider:|| Postal: New Jersey Hall - 75 Hamilton Street, New Brunswick, NJ 08901-1248|
Phone: (732) 932-7363
Fax: (732) 932-7416
Web page: http://economics.rutgers.edu/
More information through EDIRC
References listed on IDEAS
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.:
- Fershtman, Chaim & Judd, Kenneth L & Kalai, Ehud, 1991.
"Observable Contracts: Strategic Delegation and Cooperation,"
International Economic Review,
Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 32(3), pages 551-559, August.
- Chaim Fershtman & Kenneth L. Judd & Ehud Kalai, 1990. "Observable Contracts: Strategic Delegation and Cooperation," Discussion Papers 879, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
- Yan Yu, 2005. "Public goods provision: Unit-by-unit cost-sharing rules and the core," Review of Economic Design, Springer;Society for Economic Design, vol. 9(4), pages 363-376, December.
- Palfrey, Thomas R & Srivastava, Sanjay, 1991. "Nash Implementation Using Undominated Strategies," Econometrica, Econometric Society, vol. 59(2), pages 479-501, March.
- Palfrey, Thomas R. & Srivastava, Sanjay., 1986. "Nash Implementation Using Undominated Strategies," Working Papers 649, California Institute of Technology, Division of the Humanities and Social Sciences.
- Persson, Torsten & Roland, Gerard & Tabellini, Guido, 1998. "Towards micropolitical foundations of public finance," European Economic Review, Elsevier, vol. 42(3-5), pages 685-694, May.
- Torsten Persson & Gerard Roland & Guido Tabellini, "undated". "Towards Micropolitical Foundations of Public Finance," Working Papers 119, IGIER (Innocenzo Gasparini Institute for Economic Research), Bocconi University.
- Sjostrom Tomas, 1994. "Implementation in Undominated Nash Equilibria without Integer Games," Games and Economic Behavior, Elsevier, vol. 6(3), pages 502-511, May.
- Sjostrom, T., 1991. "Implementation in Undominated Nash Equilibria without Integer Games," Papers 491, Stockholm - International Economic Studies.
When requesting a correction, please mention this item's handle: RePEc:rut:rutres:201202. See general information about how to correct material in RePEc.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: ()
If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.
If references are entirely missing, you can add them using this form.
If the full references list an item that is present in RePEc, but the system did not link to it, you can help with this form.
If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your profile, as there may be some citations waiting for confirmation.
Please note that corrections may take a couple of weeks to filter through the various RePEc services.