Construct · 1 fields · 1 citations

fictitious play: a standalone construct

One name. One construct. A landmark on the map.

● anchor · learning in games Nearest construct by meaning·not indexed
fictitiousplay1 CONSTRUCTFictitious playROBINSON · 1951

A single standalone construct; nearby constructs are located against it in the Collider. Tap a field for its definition, unit, and measures.

Game theory

Learn by best-responding to how often opponents have played each move

Fictitious play is a learning process in which each player treats the historical frequency of an opponent's past actions as a forecast of their current play and best-responds to it, updating that empirical distribution each round. Robinson's 1951 An iterative method of solving a game proved that this process converges to the value in finite two-person zero-sum games, so the long-run average play approaches optimal strategies. The referent is a dynamic model of how equilibrium might be reached through repeated adaptation rather than by instant deduction, and it remains a benchmark in the study of learning and the stability of equilibria.[1]

Unit
The empirical frequency of opponents' past actions that each player best-responds to
Recovery means
Not applicable
Measured by
Studied by iterating the best-response-to-empirical-frequencies dynamic and testing convergence of the average strategies

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Nearby constructs

adaptation5 fields · 7 citationsjingle · one word, five constructscurrent3 fields · 6 citationsjingle · one word, three constructs

References

  1. Robinson, J. (1951). An iterative method of solving a game. The Annals of Mathematics, 54(2), 296–301. https://doi.org/10.2307/1969530

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