The structure of the set of equilibria for two person multicriteria games
AbstractIn this paper the structure of the set of equilibria for two person multicriteria games is analysed. It turns out that the classical result for the set of equilibria for bimatrix games, that it is a finite union of polytopes, is only valid for multicriteria games if one of the players only has two pure strategies. A full polyhedral description of these polytopes can be derived when the player with an arbitrary number of pure strategies has one criterion.
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.
Bibliographic InfoPaper provided by Tilburg University in its series Open Access publications from Tilburg University with number urn:nbn:nl:ui:12-117079.
Date of creation: 2003
Date of revision:
Publication status: Published in European Journal of Operational Research (2003) v.148, p.480-493
Contact details of provider:
Web page: http://www.tilburguniversity.edu/
Other versions of this item:
- Borm, Peter & Vermeulen, Dries & Voorneveld, Mark, 2003. "The structure of the set of equilibria for two person multicriteria games," European Journal of Operational Research, Elsevier, Elsevier, vol. 148(3), pages 480-493, August.
- Borm, P.E.M. & Vermeulen, D. & Voorneveld, M., 1998. "The Structure of the Set of Equilibria for Two Person Multicriteria Games," Discussion Paper, Tilburg University, Center for Economic Research 1998-75, Tilburg University, Center for Economic Research.
- C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
- C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
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.:
- D. Blackwell, 2010. "An Analog of the Minmax Theorem for Vector Payoffs," Levine's Working Paper Archive 466, David K. Levine.
- Borm, P.E.M. & Tijs, S.H. & Aarssen, J.C.M. van den, 1988. "Pareto equilibria in multiobjective games," Open Access publications from Tilburg University, Tilburg University urn:nbn:nl:ui:12-146611, Tilburg University.
- Blume, Lawrence E & Zame, William R, 1994.
"The Algebraic Geometry of Perfect and Sequential Equilibrium,"
Econometrica, Econometric Society,
Econometric Society, vol. 62(4), pages 783-94, July.
- Lawrence E. Blume & William R. Zame, 1993. "The Algebraic Geometry of Perfect and Sequential Equilibrium," Game Theory and Information, EconWPA 9309001, EconWPA.
- Schulteis,Tim & Perea,Andres & Peters,Hans & Vermeulen,Dries, 2004.
"Revision of conjectures about the opponent's utilities in signaling games,"
Research Memorandum, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR)
008, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
- Tim Schulteis & Andres Perea & Hans Peters & Dries Vermeulen, 2007. "Revision of conjectures about the opponent’s utilities in signaling games," Economic Theory, Springer, Springer, vol. 30(2), pages 373-384, February.
- Luisa Monroy & Amparo M. Mármol & Victoriana Rubiales, 2005. "A bargaining model for finite n-person multi-criteria games," Economic Working Papers at Centro de Estudios Andaluces E2005/21, Centro de Estudios Andaluces.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Economists Online Support).
If references are entirely missing, you can add them using this form.