On the Cycle-Transitivity of the Dice Model

Theory and Decision 54 (3):261-285 (2003)
We introduce the notion of a dice model as a framework for describing a class of probabilistic relations. We investigate the transitivity of the probabilistic relation generated by a dice model and prove that it is a special type of cycle-transitivity that is situated between moderate stochastic transitivity or product-transitivity on the one side, and Lukasiewicz-transitivity on the other side. Finally, it is shown that any probabilistic relation with rational elements on a three-dimensional space of alternatives which possesses this particular type of cycle-transitivity, can be represented by a dice model. The same does not hold in higher dimensions
Keywords Dice model  Probabilistic relation  Stochastic transitivity   T-transitivity  Utility model
Categories No categories specified
(categorize this paper)
DOI 10.1023/A:1027378124173
 Save to my reading list
Follow the author(s)
My bibliography
Export citation
Find it on Scholar
Edit this record
Mark as duplicate
Revision history Request removal from index
Download options
PhilPapers Archive

Upload a copy of this paper     Check publisher's policy on self-archival     Papers currently archived: 24,422
External links
Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
Through your library
References found in this work BETA

No references found.

Add more references

Citations of this work BETA

Add more citations

Similar books and articles
Stuart Rachels (2001). Intransitivity. In Lawrence C. Becker Mary Becker & Charlotte Becker (eds.), Encyclopedia of Ethics, Volume 2. Routledge.
William Roche (2012). A Weaker Condition for Transitivity in Probabilistic Support. European Journal for Philosophy of Science 2 (1):111-118.
Alex Broadbent (2012). Causes of Causes. Philosophical Studies 158 (3):457-476.

Monthly downloads

Added to index


Total downloads

49 ( #99,339 of 1,924,874 )

Recent downloads (6 months)

21 ( #24,803 of 1,924,874 )

How can I increase my downloads?

My notes
Sign in to use this feature

Start a new thread
There  are no threads in this forum
Nothing in this forum yet.