In this chapter we adopt the axiomatic approach in order to find (new) voting procedures to committees that are immune against deviations by coalitions of voters. We shall now describe our approach. Let G be a committee and let A be a finite set of m alternatives, m ⩾ 2. Our problem is to find...

In this chapter, we seek to review some of the central concepts and results in the literature on positionalist voting rules, which goes back to Borda (1781) . After the introduction of the basic notation and definitions in earlier parts of the chapter, we explore in Section 3 the distinction...

This chapter discusses different types of domain restrictions. We begin by analyzing various qualitative conditions on preference profiles. Value-restricted preferences (with single-peaked preferences as one of its subcases), limited agreement as well as antagonistic and dichotomous preferences...

Within the framework of the axiomatic approach three types of voting schemes are investigated according to the form in which the individual opinions about the alternatives are defined, as well as to the form of desired social decision. These types of rules are Social Decision Rules, Functional...

Social and economic development requires some degree of stable policy making. The instability of group decision making under majority rule ahs preoccupied social theorists since Condorcet. In theory, subtle institutional modifications to pure majority rule should induce stability. This paper...