On Kolmogorov complexity and the costs of carrying out strategies

It is common to model costs of carrying out strategies in games in relation to the complexity, in some sense, of the strategies. We show a particularly general definition of complexity for this purpose, one that subsumes many alternatives as special cases. We explore how this definition can be used...

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Detalhes bibliográficos
Formato: Working paper
Publicado em: University of Oxford 2000
Descrição
Resumo:It is common to model costs of carrying out strategies in games in relation to the complexity, in some sense, of the strategies. We show a particularly general definition of complexity for this purpose, one that subsumes many alternatives as special cases. We explore how this definition can be used and developed, and illustrate with applications to the analysis of two player finite repeated games.