On the emptiness of the stability set of order d

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
 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
Our Archive

Upload a copy of this paper     Check publisher's policy     Papers currently archived: 28,756
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. O. Hansson & G. Helgesson - 2003 - Synthese 136 (2):219 - 235.
Vague Expectation Value Loss.C. Van Fraassen Bas - 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.

Monthly downloads

Added to index


Total downloads

433 ( #5,337 of 2,177,824 )

Recent downloads (6 months)

2 ( #166,552 of 2,177,824 )

How can I increase my downloads?

My notes
Sign in to use this feature

There  are no threads in this forum
Nothing in this forum yet.

Other forums