In game theory, fictitious play is a learning rule first introduced by G.W. Brown (1951). In it, each player presumes that the opponents are playing stationary (possibly mixed) strategies. At each round, each player thus best responds to the empirical frequency of play of his opponent. Such a method is of course adequate if the opponent indeed uses a stationary strategy, while it is flawed if the opponent's strategy is non stationary. The opponent's strategy may for example be conditioned on the fictitious player's last move.
Read more about Fictitious Play: History, Convergence Properties, Terminology
Famous quotes containing the words fictitious and/or play:
“It is, indeed, at home that every man must be known by those who would make a just estimate either of his virtue or felicity; for smiles and embroidery are alike occasional, and the mind is often dressed for show in painted honour, and fictitious benevolence.”
—Samuel Johnson (1709–1784)
“I bow’d not to thy image for succession,
Nor bound thy bow to shoot reformed kindness,
Thy plays of hope and fear were my confession,
The spectacles to my life was thy blindness;
But Cupid now farewell, I will go play me,
With thoughts that please me less and less betray me.”
—Fulke Greville (1554–1628)