Monotonicity failures afflicting procedures for electing a single candidate. ([2017])

• Record Type: Book
• Further Information: Note: Dan S. Felsenthal, Hannu Nurmi.
• Authors: Felsenthal, Dan S; Nurmi, Hannu
• Contents: 1 Non-monotonic Voting Methods: An Overview; Abstract; 1.1 Introduction; 1.2 Types of Monotonicity Failure; 1.3 The Plan of the Book; References; 2 Descriptions of the Voting Methods to Be Analyzed; Abstract; 2.1 Introduction; 2.2 Five Voting Methods Susceptible to Types of Monotonicity Failure Under Both Fixed and Variable Electorates; 2.2.1 Plurality with Runoff (P-R); 2.2.2 Alternative Vote (AV; aka Instant Runoff Voting; Ranked Choice Voting); 2.2.3 The Coombs Method (Cf. Coombs 1964, pp. 397-399; Straffin 1980; Coombs et al. 1984). 2.2.4 The Dodgson Method (Cf. Black 1958, pp. 222-234 McLean and Urken 1995, pp. 288-297); 2.2.5 The Nanson Method (Cf. Nanson 1883; McLean and Urken 1995, Chap. 14); 2.3 Eight Voting Methods Susceptible to Types of Monotonicity Failure Under Variable Electorates; 2.3.1 Successive Elimination (Cf. Farquharson 1969); 2.3.2 Bucklin's Method (Cf. Hoag and Hallett 1926, pp. 485-491; Tideman 2006, p. 203); 2.3.3 Majority Judgment (Cf. Balinski and Laraki 2007a, b, 2010); 2.3.4 Copeland's Method (Copeland 1951); 2.3.5 Black's Method (Black 1958, p. 66); 2.3.6 Kemeny's Method (Kemeny 1959. Kemeny and Snell 1960 Young and Levenglick 1978; Young 1988, 1995); 2.3.7 Schwartz's Method (Schwartz 1972, 1986); 2.3.8 Young's Method (Young 1977); 2.4 Five Main Procedures that Are not Susceptible to Any Monotonicity Failure; 2.4.1 Plurality (or First Past the Post) Voting Procedure; 2.4.2 Approval Voting (Brams and Fishburn 1978, 1983); 2.4.3 Borda's Count (Cf. de Borda 1784; Black 1958; McLean and Urken 1995, pp. 83-89); 2.4.4 Range Voting (Smith 2000); 2.4.5 The Minmax Procedure; References; 3 Some Theoretical Results on Monotonicity-Related Properties of Voting Rules; Abstract. 3.1 Smith's (1973) Theorem3.2 Fishburn's (1982) Theorems; 3.3 Moulin's (1988) and Pérez's (2001) Theorems; 3.4 Saari's (1989) Results; 3.5 Muller and Satterthwaite (1977) Theorem; References; 4 Five Voting Rules Susceptible to Types of Monotonicity Failure Under Both Fixed and Variable Electorates; Abstract; 4.1 Introduction; 4.2 Types of Monotonicity Failure of the Plurality with Runoff Method Under Fixed Electorates; 4.2.1 An Initial Situation with a Condorcet Winner; 4.2.1.1 Upward Monotonicity Failure-Dynamic Voters Better Off [UB]. 4.2.1.2 Upward Monotonicity Failure-Dynamic Voters Worse Off [UW]4.2.1.3 Downward Monotonicity Failure-Dynamic Voters Better Off [DB]; 4.2.1.4 Impossibility: Downward Monotonicity Failure-Dynamic Voters Worse Off [DW]; 4.2.2 An Initial Situation with a Top Cycle; 4.2.2.1 Upward Monotonicity Failure-Dynamic Voters Better Off [UB]; 4.2.2.2 Upward Monotonicity Failure-Dynamic Voters Worse Off [UW]; 4.2.2.3 Downward Monotonicity Failure-Dynamic Voters Better Off [DB]; 4.3 Types of Monotonicity Failure of the Alternative Vote Method Under Fixed Electorates.
• Publisher Details: Cham, Switzerland : Springer
• Publication Date: 2017
• Extent: 1 online resource (viii, 88 pages)
• Subjects: 324.6/5; Political science; Voting; POLITICAL SCIENCE -- Political Process -- Elections; POLITICAL SCIENCE -- Political Process -- General; Voting; Business & Economics -- Economics -- Theory; Philosophy -- Political; Economic theory & philosophy; Social & political philosophy; Political economy; Welfare economics; Economic theory; Political science -- Philosophy; Political Science -- Economic Conditions; Political economy; Electronic books
• Languages: English
• ISBNs: 9783319510613; 3319510614
• Related ISBNs: 3319510606; 9783319510606
• Notes: Note: Includes bibliographical references.; Note: Online resource; title from PDF title page (EBSCO, viewed March 3, 2017).
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.