A characterization of weighted voting

Mathematics of Voting – Weighted Voting Systems

Voting Power in Weighted Voting Games: A Lobbying Approach by

We report experiments on the following lobbying game. Two lobbyists have identical budgets and simultaneously distribute them across voters in a legislature. Each voter votes for the lobbyist who pays them most and the lobbyist who receives most votes wins a prize. Taking the share of the budget distributed to a voter as a measure of the voter‟s voting power we investigate how voting power vari...

Weighted Approval Voting

To allow society to treat unequal alternatives distinctly we propose a natural extension of Approval Voting [7] by relaxing the assumption of neutrality. According to this extension, every alternative receives ex-ante a non-negative and finite weight. These weights may differ across alternatives. Given the voting decisions of every individual (individuals are allowed to vote for, or approve of,...

Dynamic weighted voting games

We initiate the study of dynamic cooperative games—cooperative games where the characteristic function may change over time. We introduce two types of algorithmic problems for such games: computing a given solution concept at time t, and checking that a certain function of the game (e.g., the Shapley value of a given player or the value of the least core) remains within given bounds during time...

Reliability Weighted Voting Games

We examine agent failures in weighted voting games. In our cooperative game model, R-WVG, each agent has a weight and a survival probability, and the value of an agent coalition is the probability that its surviving members would have a total weight exceeding a threshold. We propose algorithms for computing the value of a coalition, finding stable payoff allocations, and estimating the power of...