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|
No categories specified
(categorize this paper)
References found in this work BETA
No references found.
Citations of this work BETA
No citations found.
Similar books and articles
On the Coase Theorem and Coalitional Stability: The Principle of Equal Relative Concession.Partha Gangopadhyay - 2000 - Theory and Decision 48 (2):179-191.
Weak Links: The Universal Key to the Stability of Networks and Complex Systems.Peter Csermely - 2009 - Springer.
Why Are the Laws of Nature so Important to Science?Marc Lange - 1999 - Philosophy and Phenomenological Research 59 (3):625-652.
Beyond First-Order Logic: The Historical Interplay Between Mathematical Logic and Axiomatic Set Theory.Gregory H. Moore - 1980 - History and Philosophy of Logic 1 (1-2):95-137.
A Critical Appraisal of Second-Order Logic.Ignacio Jané - 1993 - History and Philosophy of Logic 14 (1):67-86.
A Few More Useful 8-Valued Logics for Reasoning with Tetralattice Eight.Dmitry Zaitsev - 2009 - Studia Logica 92 (2):265 - 280.
Added to index2010-09-02
Total downloads433 ( #5,337 of 2,177,824 )
Recent downloads (6 months)2 ( #166,552 of 2,177,824 )
How can I increase my downloads?