Abstract
The type of a player in a game describes the beliefs of that player about the types of others. We show that the subset of vectors of such player-type beliefs which obey the consistency condition sometimes called the Harsanyi doctrine is of Lebesgue measure zero. Furthermore, as the number of players becomes large the ratio of the dimension Harsanyi-consistent beliefs to the set of all beliefs tends to zero.
Original language | English (US) |
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Pages (from-to) | 189-194 |
Number of pages | 6 |
Journal | International Journal of Economic Theory |
Volume | 6 |
Issue number | 1 |
DOIs | |
State | Published - 2010 |
Keywords
- Bayesian games
- Common priors
- Harsanyi doctrine
- Prior beliefs
- Types
ASJC Scopus subject areas
- Economics and Econometrics