Finitely additive beliefs and universal type spaces
| dc.creator | Meier, Martin | |
| dc.date | 2006-02-28 | |
| dc.date.accessioned | 2026-07-07T07:03:53Z | |
| dc.date.available | 2026-07-07T07:03:53Z | |
| dc.description | The probabilistic type spaces in the sense of Harsanyi [Management Sci. 14 (1967/68) 159--182, 320--334, 486--502] are the prevalent models used to describe interactive uncertainty. In this paper we examine the existence of a universal type space when beliefs are described by finitely additive probability measures. We find that in the category of all type spaces that satisfy certain measurability conditions ($κ$-measurability, for some fixed regular cardinal $κ$), there is a universal type space (i.e., a terminal object) to which every type space can be mapped in a unique beliefs-preserving way. However, by a probabilistic adaption of the elegant sober-drunk example of Heifetz and Samet [Games Econom. Behav. 22 (1998) 260--273] we show that if all subsets of the spaces are required to be measurable, then there is no universal type space. | |
| dc.description | Published at http://dx.doi.org/10.1214/009117905000000576 in the Annals of Probability (http://www.imstat.org/aop/) by the Institute of Mathematical Statistics (http://www.imstat.org) | |
| dc.identifier | https://arxiv.org/abs/math/0602656 | |
| dc.identifier | http://arxiv.org/abs/math/0602656 | |
| dc.identifier | Annals of Probability 2006, Vol. 34, No. 1, 386-422 | |
| dc.identifier | doi:10.1214/009117905000000576 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/109150 | |
| dc.subject | Probability | |
| dc.subject | 91A40, 91A35, 28E (Primary) | |
| dc.title | Finitely additive beliefs and universal type spaces | |
| dc.type | text |