Analytical representation of probabilities under the IAC condition

H. C. Huang () and Vincent C. H. Chua ()
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H. C. Huang: National University of Singapore, Kent Ridge Crescent 119260, Singapore
Vincent C. H. Chua: National University of Singapore, Kent Ridge Crescent 119260, Singapore

Social Choice and Welfare, 2000, vol. 17, issue 1, 143-155

Abstract: This paper extends the work of Gehrlein and Fishburn (1976) and Gehrlein (1982) by providing a general theorem relating to the analytical representation of the probability of an event in a given space of profiles. It applies to any event characterized by a set of linear inequalities regardless of whether the coefficients defining the inequalities are integer or fractional coefficients. An algorithm for the probability calculation is also suggested. This suggested methodology is used to provide a complete characterization of the vulnerability properties of the four scoring rules studied in Lepelley and Mbih (1994) to manipulation by coalitions in a 3-alternative n-agent society.

Date: 1999-11-15
Note: Received: 21 October 1997/Accepted 19 November 1998
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