Theory and Decision 52 (4):313-326 (2002)

We know from Li's theorem (1993) that the stability set of order d may be empty for some preference profiles. However, one may wonder whether such situations are just rare oddities or not. In this paper, we partially answer this question by considering the restrictive case where the number of alternatives is the smallest compatible with an empty stability set. More precisely, we provide an upper bound on the probability for having an empty stability set of order d for the majority game under the Impartial Weak Ordering Culture assumption. This upper bound is already extremely low for small population and tends to zero as the number of individuals goes to infinity
Keywords quota games  core  stability set of order d  probability
Categories No categories specified
(categorize this paper)
DOI 10.1023/A:1020212401428
Edit this record
Mark as duplicate
Export citation
Find it on Scholar
Request removal from index
Revision history

Download options

PhilArchive copy

Upload a copy of this paper     Check publisher's policy     Papers currently archived: 64,291
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

No citations found.

Add more citations

Similar books and articles

Why Are the Laws of Nature so Important to Science?Marc Lange - 1999 - Philosophy and Phenomenological Research 59 (3):625-652.
Second Order Logic or Set Theory?Jouko Väänänen - 2012 - Bulletin of Symbolic Logic 18 (1):91-121.
What is Stability?S. Hansson & G. Helgesson - 2003 - Synthese 136 (2):219 - 235.
Vague Expectation Value Loss.Bas C. Van Fraassen - 2006 - Philosophical Studies 127 (3):483 - 491.
Is Any Set Theory True?Joseph S. Ullian - 1969 - Philosophy of Science 36 (3):271-279.
A Critical Appraisal of Second-Order Logic.Ignacio Jané - 1993 - History and Philosophy of Logic 14 (1):67-86.
Majority Voting on Orders.Gilbert Laffond - 2000 - Theory and Decision 49 (3):249-287.
▵1 3-Stability.Dror Ben-Arié & Haim Judah - 1993 - Journal of Symbolic Logic 58 (3):941 - 954.


Added to PP index

Total views
492 ( #16,142 of 2,456,035 )

Recent downloads (6 months)
1 ( #449,366 of 2,456,035 )

How can I increase my downloads?


My notes