Theory and Decision 52 (4):313-326 (2002)
|Abstract||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)
|Through your library||Configure|
Similar books and articles
Sune Lægaard (2006). Feasibility and Stability in Normative Political Philosophy: The Case of Liberal Nationalism. [REVIEW] Ethical Theory and Moral Practice 9 (4):399 - 416.
Partha Gangopadhyay (2000). On the Coase Theorem and Coalitional Stability: The Principle of Equal Relative Concession. Theory and Decision 48 (2):179-191.
Peter Csermely (2009). Weak Links: The Universal Key to the Stability of Networks and Complex Systems. Springer.
Marc Lange (1999). Why Are the Laws of Nature so Important to Science? Philosophy and Phenomenological Research 59 (3):625-652.
Jouko Väänänen (2012). Second Order Logic or Set Theory? Bulletin of Symbolic Logic 18 (1):91-121.
S. O. Hansson & G. Helgesson (2003). What is Stability? Synthese 136 (2):219 - 235.
Gregory H. Moore (1980). Beyond First-Order Logic: The Historical Interplay Between Mathematical Logic and Axiomatic Set Theory. History and Philosophy of Logic 1 (1-2):95-137.
Martin Peterson & Sven Ove Hansson (2005). Order-Independent Transformative Decision Rules. Synthese 147 (2):323-342.
Bas C. Van Fraassen (2006). Vague Expectation Value Loss. Philosophical Studies 127 (3):483 - 491.
Joseph S. Ullian (1969). Is Any Set Theory True? Philosophy of Science 36 (3):271-279.
Ignacio Jané (1993). A Critical Appraisal of Second-Order Logic. History and Philosophy of Logic 14 (1):67-86.
Gilbert Laffond (2000). Majority Voting on Orders. Theory and Decision 49 (3):249-287.
Dmitry Zaitsev (2009). A Few More Useful 8-Valued Logics for Reasoning with Tetralattice Eight. Studia Logica 92 (2):265 - 280.
Dror Ben-Arié & Haim Judah (1993). ▵1 3-Stability. Journal of Symbolic Logic 58 (3):941 - 954.
Sorry, there are not enough data points to plot this chart.
Added to index2010-09-02
Recent downloads (6 months)0
How can I increase my downloads?