One-way monotonicity as a form of strategy-proofness
Küçük Resim Yok
Tarih
2009
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Springer Heidelberg
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
Suppose that a vote consists of a linear ranking of alternatives, and that in a certain profile some single pivotal voter v is able to change the outcome of an election from s alone to t alone, by changing her vote from P-v to P'(v). A voting rule F is two-way monotonic if such an effect is only possible when v moves to from below s (according to P-v) to above s (according to P'(v)). One-way monotonicity is the strictly weaker requirement forbidding this effect when v makes the opposite switch, by moving s from below t to above t. Two-way monotonicity is very strong-equivalent over any domain to strategy proofness. One-way monotonicity holds for all sensible voting rules, a broad class including the scoring rules, but no Condorcet extension for four or more alternatives is one-way monotonic. These monotonicities have interpretations in terms of strategy-proofness. For a one-way monotonic rule F, each manipulation is paired with a positive response, in which F offers the pivotal voter a strictly better result when she votes sincerely.
Açıklama
Anahtar Kelimeler
One-Way Monotonicity, Monotonicity, Participation, No-Show Paradox, Strategy-Proofness, Manipulation, Scoring Rule, Sensible Virtue, Condorcet Extension, Social Choice Functions, No-Show Paradox, Manipulatability, Manipulation, Preferences, Rules
Kaynak
International Journal of Game Theory
WoS Q Değeri
Q3
Scopus Q Değeri
Q2
Cilt
38
Sayı
4
