Harsanyi type spaces with knowledge operators

  • Authors:

  • Martin Meier

  • Affiliations:

  • Instituto de Análisis Económico, CSIC, Bellaterra (Barcelona), Spain

  • Venue:
  • TARK '05 Proceedings of the 10th conference on Theoretical aspects of rationality and knowledge
  • Year:
  • 2005

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Abstract

In this paper, we provide a notion of structure preserving maps (i.e. knowledge-belief morphisms) between knowledge-belief spaces. Then we show that - under the condition that the knowledge operators of the players in a knowledge-belief space operate only on measurable subsets of the space - there is a unique (up to isomorphism) universal knowledge-belief space to which every knowledge-belief space can be mapped by a unique knowledge-belief morphism.