A2 ×2Game without the Fictitious Play Property

Dov Monderer; Aner Sela

doi:10.1006/game.1996.0045

A2 ×2Game without the Fictitious Play Property

Dov Monderer, Aner Sela

Research output: Contribution to journal › Comment/debate

Abstract

The definition of fictitious play may depend on first move rules,initial beliefs, weights assigned to initial beliefs, and tie-breaking rules determining the particular best replies chosen at each stage. Using the original definition of Brown (1951) in which the first moves are chosen arbitrarily and no tie-breaking rules are assumed, we give an example of a fictitious play process in a2×2game that does not converge to equilibrium.Journal of Economic LiteratureClassification Numbers: C72 C73

Original language	English
Pages (from-to)	144-148
Number of pages	5
Journal	Games and Economic Behavior
Volume	14
Issue number	1
DOIs	https://doi.org/10.1006/game.1996.0045
State	Published - 1996
Externally published	Yes

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title = "A2 ×2Game without the Fictitious Play Property",

abstract = "The definition of fictitious play may depend on first move rules,initial beliefs, weights assigned to initial beliefs, and tie-breaking rules determining the particular best replies chosen at each stage. Using the original definition of Brown (1951) in which the first moves are chosen arbitrarily and no tie-breaking rules are assumed, we give an example of a fictitious play process in a2×2game that does not converge to equilibrium.Journal of Economic LiteratureClassification Numbers: C72 C73",

author = "Dov Monderer and Aner Sela",

year = "1996",

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T1 - A2 ×2Game without the Fictitious Play Property

AU - Monderer, Dov

AU - Sela, Aner

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AB - The definition of fictitious play may depend on first move rules,initial beliefs, weights assigned to initial beliefs, and tie-breaking rules determining the particular best replies chosen at each stage. Using the original definition of Brown (1951) in which the first moves are chosen arbitrarily and no tie-breaking rules are assumed, we give an example of a fictitious play process in a2×2game that does not converge to equilibrium.Journal of Economic LiteratureClassification Numbers: C72 C73

U2 - 10.1006/game.1996.0045

DO - 10.1006/game.1996.0045

M3 - Comment/debate

SN - 0899-8256

VL - 14

SP - 144

EP - 148

JO - Games and Economic Behavior

JF - Games and Economic Behavior

IS - 1

ER -

A2 ×2Game without the Fictitious Play Property

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