English, Article, Journal or magazine article edition: Brown-von Neumann-Nash Dynamics: The Continuous Strategy Case Jörg Oechssler; Josef Hofbauer; Joerg Oechssler; ...

User activity

Share to:
 
Bookmark: http://trove.nla.gov.au/version/52394
Physical Description
  • preprint
Language
  • English

Edition details

Title
  • Brown-von Neumann-Nash Dynamics: The Continuous Strategy Case
Author
  • Jörg Oechssler
  • Josef Hofbauer
  • Joerg Oechssler
  • Frank Riedel
Physical Description
  • preprint
Notes
  • RePEc:bon:bonedp:bgse38_2005
  • RePEc:awi:wpaper:0424
  • In John Nash’s proofs for the existence of (Nash) equilibria based on Brouwer’s theorem, an iteration mapping is used. A continuous— time analogue of the same mapping has been studied even earlier by Brown and von Neumann. This differential equation has recently been suggested as a plausible boundedly rational learning process in games. In the current paper we study this Brown—von Neumann—Nash dynamics for the case of continuous strategy spaces. We show that for continuous payoff functions, the set of rest points of the dynamics coincides with the set of Nash equilibria of the underlying game. We also study the asymptotic stability properties of rest points. While strict Nash equilibria may be unstable, we identify sufficient conditions for local and global asymptotic stability which use concepts developed in evolutionary game theory.
  • Learning in games; evolutionary stability; BNN
  • RePEc:wpa:wuwpga:0512003
Language
  • English
Contributed by
OAIster

Get this edition

  • Set up My libraries

    How do I set up "My libraries"?

    In order to set up a list of libraries that you have access to, you must first login or sign up. Then set up a personal list of libraries from your profile page by clicking on your user name at the top right of any screen.

  • All (1)
  • Unknown (1)
None of your libraries hold this item.
None of your libraries hold this item.
None of your libraries hold this item.
None of your libraries hold this item.
None of your libraries hold this item.
None of your libraries hold this item.
None of your libraries hold this item.
None of your libraries hold this item.

User activity


e.g. test cricket, Perth (WA), "Parkes, Henry"

Separate different tags with a comma. To include a comma in your tag, surround the tag with double quotes.

Be the first to add a tag for this edition

Be the first to add this to a list

Comments and reviews

What are comments? Add a comment

No user comments or reviews for this version

Add a comment