Players in a committee, council, or electoral college often wield asymmetric numbers of votes. Binary decision environments are then conventionally modeled as weighted voting games. We introduce weighted committee games in order to describe decisions on three or more alternatives in similarly...

This thesis deals with the measurement of voting power in different decision environments. After a short introduction in Chapter 1, several established concepts for power analysis are reviewed and applied in Chapters 2 and 3. Chapters 4 and 5 step on new ground by introducing a power index for a...

We discuss the relationships between positional rules (such as plurality and approval voting as well as the Borda count), Dodgson’s, Kemeny’s and Litvak’s methods of reaching consensus. The discrepancies between methods are seen as results of different intuitive conceptions...