We review de Finetti’s two coherence criteria for determinate probabilities: coherence1 defined in terms of previsions for a set of random variables that are undominated by the status quo – previsions immune to a sure-loss – and coherence2 defined in terms of forecasts for events undominated in Brier score by a rival forecast. We propose a criterion of IP-coherence2 based on a generalization of...

Equal and proportional representation are two poles of a continuum of models of representation for the assembly of a federation of states. The choice of a model has repercussions on the welfare distribution in the federation. We determine, first by means of Monte Carlo simulations, what welfare distributions result after assemblies that were constituted on the basis of different models of repre...

Control by partition refers to situations where an election chair seeks to influence the outcome of an election by partitioning either the candidates or the voters into two groups, thus creating two first-round subelections that determine who will take part in a final round. The model of partition-ofvoters control attacks is remotely related to “gerrymandering” (maliciously resizing election di...

Consider the following (standard) linear programming problem: maximise a real-valued linear function CT x defined for optimisation variables x in Rn that have to satisfy the constraints Ax ≤ B, x ≥ 0, where the matrices A, B, and C are independent random variables that take values a, b, and c in Rm×n, Rm and Rn, respectively. Using an approach we developed in previous work [3], the problem is f...