Fictitious play in extensive form games
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Fictitious play in extensive form games. / Hendon, Ebbe; Whitta-Jacobsen, Hans Jørgen; Sloth, Birgitte.
I: Games and Economic Behavior, Bind 15, Nr. 2, 1996, s. 177-202.Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt
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TY - JOUR
T1 - Fictitious play in extensive form games
AU - Hendon, Ebbe
AU - Whitta-Jacobsen, Hans Jørgen
AU - Sloth, Birgitte
N1 - JEL Classification: C72
PY - 1996
Y1 - 1996
N2 - This article analyzes the fictitious play process originally proposed for strategic form games by Brown (1951) and Robinson (1951). We interpret the process as a model of preplay thinking performed by players before acting in a one-shot game. This model is one of bounded rationality. We discuss how fictitious play should then be defined for extensive form games and conclude that this is somewhat problematic. We therefore study two alternative definitions. For either of these, under a weak condition of initial uncertainty, a convergence point of a fictitious play sequence is a sequential equilibrium. For generic games of perfect information initial uncertainty also implies convergence of fictitious play
AB - This article analyzes the fictitious play process originally proposed for strategic form games by Brown (1951) and Robinson (1951). We interpret the process as a model of preplay thinking performed by players before acting in a one-shot game. This model is one of bounded rationality. We discuss how fictitious play should then be defined for extensive form games and conclude that this is somewhat problematic. We therefore study two alternative definitions. For either of these, under a weak condition of initial uncertainty, a convergence point of a fictitious play sequence is a sequential equilibrium. For generic games of perfect information initial uncertainty also implies convergence of fictitious play
U2 - 10.1006/game.1996.0065
DO - 10.1006/game.1996.0065
M3 - Journal article
VL - 15
SP - 177
EP - 202
JO - Games and Economic Behavior
JF - Games and Economic Behavior
SN - 0899-8256
IS - 2
ER -
ID: 3047517