Open AccessOn the Convergence of Fictitious Play
Author(s) -
Vijay Krishna,
Tomas Sjöström
Publication year - 1998
Publication title -
mathematics of operations research
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.619
H-Index - 83
eISSN - 1526-5471
pISSN - 0364-765X
DOI - 10.1287/moor.23.2.479
Subject(s) - fictitious play , mathematics , convergence (economics) , zero (linguistics) , mathematical economics , mathematical optimization , game theory , economics , linguistics , philosophy , economic growth
We study the Brown-Robinson fictitious play process for non-zero sum games. We show that, in general, fictitious play cannot converge cyclically to a mixed strategy equilibrium in which both players use more than two pure strategies.
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