Many binary collective choice situations can be described as weighted simple voting games. We introduce weighted committee games to model decisions on an arbitrary number of alternatives in analogous fashion. We compare the effect of different voting weights (shareholdings, party seats, etc.) under plurality, Borda, Copeland, and antiplurality rule.
The number and geometry of weight equivalence classes differ widely across the rules. Decisions can be much more sensitive to weights in Borda committees than (anti-)plurality or Copeland ones.
Further data
Item Type:
Preprint, postprint
Keywords:
weighted voting; simple games; social choice; geometry of voting; equivalence classes; Borda rule; Copeland rule; plurality; antiplurality