Game-Theoretic Learning Using the Imprecise Dirichlet Model

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Game-Theoretic Learning Using the Imprecise Dirichlet Model
We discuss two approaches for choosing a strategy in a two-player game. We suppose that the game is played a large number of rounds, which allows the players to use observations of past play to guide them in choosing a strategy. Central in these approaches is the way the opponent’s next strategy is assessed; both a precise and an imprecise Dirichlet model are used. The observations of the opponent’s past strategies can then be used to update the model and obtain new assessments. To some extent, the imprecise probability approach allows us to avoid making arbitrary initial assessments. To be able to choose a strategy, the assessment of the opponent’s strategy is combined with rules for selecting an optimal response to it: a so-called best response or a maximin strategy. Together with the updating procedure, this allows us to choose strategies for all the rounds of the game. The resulting playing sequence can then be analysed to investigate if the strategy choices can converge to ...
Erik Quaeghebeur, Gert de Cooman
Added 04 Jul 2010
Updated 04 Jul 2010
Type Conference
Year 2003
Authors Erik Quaeghebeur, Gert de Cooman
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