This file is part of IDEAS, which uses RePEc data


[ Papers | Articles | Software | Books | Chapters | Authors | Institutions | JEL Classification | NEP reports | Search | New papers by email | Author registration | Rankings | Volunteers | FAQ | Blog | Help! ]

An Application of Ramsey Theorem to stopping Games

Author info | Abstract | Publisher info | Download info | Related research | Statistics
Author Info
VIEILLE, Nicolas
SHMAYA, Eran () (The School of Mathematical Sciences, Tel Aviv University)
SOLAN, Eilon () (Kellog Graduate School of Management, Northwestern University)

Additional information is available for the following registered author(s):

Abstract

We prove that every two-player non zero-sum deterministic stopping game with uniformly bounded payoffs admits an e-equilibrium, for every e>0. The proof uses Ramsey Theorem that states that for every coloring of a complete infinite graph by finitely many colors there is a complete infinite subgraph which is monochromatic.

Download Info
To download:

If you experience problems downloading a file, check if you have the proper application to view it first. Information about this may be contained in the File-Format links below. 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.

File URL: http://www.hec.fr/var/fre/storage/original/application/652b2e846c7cf2c3164a39901794652f.pdf
File Format: application/pdf
File Function:
Download Restriction: no

Publisher Info
Paper provided by HEC Paris in its series Les Cahiers de Recherche with number 746.

Download reference. The following formats are available: HTML (with abstract), plain text (with abstract), BibTeX, RIS (EndNote, RefMan, ProCite), ReDIF
Length: 13 pages
Date of creation: 24 Jul 2001
Date of revision:
Handle: RePEc:ebg:heccah:0746

Contact details of provider:
Postal: HEC Paris, 78351 Jouy-en-Josas cedex, France
Web page: http://www.hec.fr/
More information through EDIRC

For technical questions regarding this item, or to correct its listing, contact: (Sandra Dupouy).

Related research
Keywords: non zero-sum stopping games; Ramsey theorem; equilibrium payoff;

Other versions of this item:

Find related papers by JEL classification:
C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games

This paper has been announced in the following NEP Reports:

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.:
  1. Dinah Rosenberg & Eilon Solan & Nicolas Vieille, 1999. "Stopping Games with Randomized Strategies," Discussion Papers 1258, Northwestern University, Center for Mathematical Studies in Economics and Management Science. [Downloadable!]
  2. Vrieze, O J & Thuijsman, F, 1989. "On Equilibria in Repeated Games with Absorbing States," International Journal of Game Theory, Springer, vol. 18(3), pages 293-310.
  3. Fine, Charles H. & Li, Lode, 1989. "Equilibrium exit in stochastically declining industries," Games and Economic Behavior, Elsevier, vol. 1(1), pages 40-59, March. [Downloadable!] (restricted)
Full references

Cited by:
(explanations, 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.)

  1. Eilon Solan, 2002. "Subgame-Perfection in Quitting Games with Perfect Information and Differential Equations," Discussion Papers 1356, Northwestern University, Center for Mathematical Studies in Economics and Management Science. [Downloadable!]
  2. Eilon Solan & Nicolas Vieille, 2002. "Stopping games: recent results," Working Papers hal-00242994_v1, HAL. [Downloadable!]
    Other versions:
  3. Eran Shmaya & Eilon Solan, 2002. "Two Player Non Zero-Sum Stopping Games in Discrete Time," Discussion Papers 1347, Northwestern University, Center for Mathematical Studies in Economics and Management Science. [Downloadable!]
  4. Flesch, János & Kuipers, Jeroen & Schoenmakers, Gijs & Vrieze, Koos, 2008. "Subgame-Perfection in Stochastic Games with Perfect Information and Recursive Payoffs," Research Memoranda 041, Maastricht : METEOR, Maastricht Research School of Economics of Technology and Organization. [Downloadable!]
Statistics
Access and download statistics

Did you know? RePEc data is maintained by each archive holder on its own website. Nothing is held centrally.

This page was last updated on 2009-12-15.

This information is provided to you by IDEAS at the Department of Economics, College of Liberal Arts and Sciences, University of Connecticut using RePEc data on a server sponsored by the Society for Economic Dynamics.