Obtaining representations for probabilities of voting outcomes with effectively unlimited precision integer arithmetic

William V. Gehrlein ()
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William V. Gehrlein: University of Delaware, Department of Business Administration, Newark, DE 19716, USA

Social Choice and Welfare, 2002, vol. 19, issue 3, 503-512

Abstract: A procedure is developed to obtain representations for the probability of election outcomes with the Impartial Anonymous Culture Condition and the Maximal Culture Condition. The procedure is based upon a process of performing arithmetic with integers, while maintaining absolute precision with very large integer numbers. The procedure is then used to develop probability representations for a number of different voting outcomes, which have to date been considered to be intractable to obtain with the use of standard algebraic techniques.

Date: 2002-07-08
Note: Received: 13 June 2000/Accepted: 22 January 2001
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