On Ehrhart polynomials and probability calculations in voting theory

Dominique Lepelley, Ahmed Louichi, Hatem Smaoui
2007 Social Choice and Welfare  
In voting theory, analyzing the frequency of an event (e.g. a voting paradox), under some specific but widely used assumptions, is equivalent to computing the exact number of integer solutions in a system of linear constraints. Recently, some algorithms for computing this number have been proposed in social choice literature by Huang and Chua (Soc Choice Welfare
doi:10.1007/s00355-007-0236-1 fatcat:c6imqko3ijfibozl6rhgd46evy