Fictitious Play in 2 x 2 Games: A Geometric Proof of Convergence

Andrew Metrick and Ben Polak

Economic Theory, 1994, vol. 4, issue 6, 923-33

Abstract: This paper provides a new proof of Miyasawa's (1961) result showing the convergence of fictitious play in 2x2 games. The novelty of the approach used here is that it rests entirely on the geometric properties of the best-response correspondence. The geometric approach greatly shortens the exposition, and it suggests some possible extensions to more difficult convergence conjectures.

Date: 1994
References: Add references at CitEc
Citations: View citations in EconPapers (17)

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:joecth:v:4:y:1994:i:6:p:923-33

Ordering information: This journal article can be ordered from
http://www.springer. ... eory/journal/199/PS2

Access Statistics for this article

Economic Theory is currently edited by Nichoals Yanneils

More articles in Economic Theory from Springer, Society for the Advancement of Economic Theory (SAET) Contact information at EDIRC.
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().