Harsanyi type spaces with knowledge operators

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.

• Type: Conference
• Year: 2005
• Where: TARK
• Authors: Martin Meier
• Keywords: Knowledge-belief Space, Space, Structure Preserving Maps, TARK 2005