Borel Games with Lower-Semi-Continuous Payoffs
We prove that every multi-player Borel game with bounded and lower-semi-continuous payoffs admits a subgame-perfect epsilon-equilibrium in pure strategies. This result complements Example 3 in Solan and Vieille (2003), which shows that a subgame-perfect epsilon-equilibrium in pure strategies need not exist when the payoffs are not lower-semi-continuous. In addition, if the range of payoffs is finite, we characterize in the form of a Folk Theorem the set of all plays and payoffs that are induced by subgame-perfect 0-equilibria in pure strategies.
|Date of creation:||2010|
|Date of revision:|
|Contact details of provider:|| Postal: |
Phone: +31 (0)43 38 83 830
Web page: http://www.maastrichtuniversity.nl/
More information through EDIRC
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.:
- Eilon Solan & Nicolas Vielle, 2002.
"Deterministic Multi-Player Dynkin Games,"
1355, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
- Nicolas Vieille & Eilon Solan, 2003. "Deterministic multi-player Dynkin games," Post-Print hal-00464953, HAL.
- Kuipers Jeroen & Flesch Janos & Schoenmakers Gijs & Vrieze Koos, 2008. "Pure Subgame-Perfect Equilibria in Free Transition Games," Research Memorandum 027, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
- Shmaya, Eran, 2008. "Many inspections are manipulable," Theoretical Economics, Econometric Society, vol. 3(3), September.
When requesting a correction, please mention this item's handle: RePEc:unm:umamet:2010040. 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: (Charles Bollen)
If references are entirely missing, you can add them using this form.