Analytical Representation of Probabilities Under the Iac Condition

Posted: 13 Dec 1999

See all articles by H. C. Huang

H. C. Huang

National University of Singapore (NUS)

Vincent C.H. Chua

Singapore Management University - School of Social Sciences

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.

JEL Classification: D80

Suggested Citation

Huang, H. C. and Chua, Vincent C.H., Analytical Representation of Probabilities Under the Iac Condition. Available at SSRN: https://ssrn.com/abstract=195532

H. C. Huang

National University of Singapore (NUS)

1E Kent Ridge Road
NUHS Tower Block Level 7
Singapore, 119228
REPUBLIC OF SINGAPORE

Vincent C.H. Chua (Contact Author)

Singapore Management University - School of Social Sciences ( email )

469 Bukit Timah Road
Federal Building #02-05
Singapore, 259756
Singapore

Do you have negative results from your research you’d like to share?

Paper statistics

Abstract Views
471
PlumX Metrics