Document de travail

The Probability of Casting a Decisive Vote: From IC to IAC trhough Ehrhart's Polynomials and Strong Mixing

Michel Le Breton, Dominique Lepelley et Hatem Smaoui

Résumé

The main purpose of this paper is to estimate the probability of casting a decisive vote for a class or random electorate models encompassing the celebrated IC and IAC models. The emphasis is on the impact of correlation across votes on the order of magnitude of this event. Our proof techniques use arguments from probability theory on one hand and the geometry of convex polytopes on the other hand.

Mots-clés

Elections; Ehrhart Polynomials; Power Measurement; Voting;

Codes JEL

  • D71: Social Choice • Clubs • Committees • Associations
  • D72: Political Processes: Rent-Seeking, Lobbying, Elections, Legislatures, and Voting Behavior

Remplacé par

Michel Le Breton, Dominique Lepelley et Hatem Smaoui, « Correlation, Partitioning and the Probability of Casting a Decisive Vote under the Majority Rule », Journal of Mathematical Economics, vol. 64, mai 2016, p. 11–22.

Référence

Michel Le Breton, Dominique Lepelley et Hatem Smaoui, « The Probability of Casting a Decisive Vote: From IC to IAC trhough Ehrhart's Polynomials and Strong Mixing », TSE Working Paper, n° 12-313, juin 2012, révision avril 2014.

Voir aussi

Publié dans

TSE Working Paper, n° 12-313, juin 2012, révision avril 2014