Distance rationalization of social rules
نویسندگان
چکیده
The concept of distance rationalizability of social choice rules has been explored in recent years by several authors. We deal here with several foundational questions, and unify, correct, and generalize previous work. For example, we study a new question involving uniqueness of representation in the distance rationalizability framework, and present a counterexample. For rules satisfying various axiomatic properties such as anonymity, neutrality and homogeneity, the standard profile representation of input can be compressed substantially. We explain in detail using quotient constructions and symmetry groups how distance rationalizability is interpreted in this situation. This enables us to connect the theory of distance rationalizability with geometric concepts such as Earth Mover distance and optimal transportation. We expect this connection to prove fruitful in future work. We improve on the best-known sufficient conditions for rules rationalized via votewise distances to satisfy anonymity, neutrality, homogeneity, consistency and continuity. This leads to a class of well-behaved rules which deserve closer scrutiny in future.
منابع مشابه
Distance rationalization of voting rules
The concept of distance rationalizability allows one to define new voting rules or rationalize existing ones via a consensus, i.e., a class of elections that have a unique, indisputable winner, and a distance over elections: A candidate is declared an election winner if she is the consensus candidate in one of the nearest consensus elections. Many classic voting rules are defined or can be repr...
متن کاملA Dynamic Rationalization of Distance Rationalizability
Distance rationalizability is an intuitive paradigm for developing and studying voting rules: given a notion of consensus and a distance function on preference profiles, a rationalizable voting rule selects an alternative that is closest to being a consensus winner. Despite its appeal, distance rationalizability faces the challenge of connecting the chosen distance measure and consensus notion ...
متن کاملUniversal and Symmetric Scoring Rules for Binary Relations
Are Plurality voting, the Kemeny rule, Approval voting, and the Borda Mean Dichotomy rule all versions of the same voting rule? Yes, in a sense. In an extension of work by Barthélemy and Monjardet [3], we consider functions F that assign real number scoring weights F (R1, R2) to pairs of binary relations on a finite set A of alternatives, serving as symmetric measures of similarity between R1 a...
متن کاملA Study on the Effective factors in forming Social Identity among high-schools students
This paper tries to study the effective factors involving in social identity among high school students in Amol (Northern Iran) from three different viewpoints: Religion, family and national ones. This research is done by survey and questionnaire method. The sample were 372 Boys and girls. The findings show variables like self satisfaction, rationalization of affairs, and self-steastm influen...
متن کاملDistance rationalization of anonymous and homogeneous voting rules
The concept of distance rationalizability of voting rules has been explored in recent years by several authors. Most previous work has dealt with a definition in terms of preference profiles. However, most voting rules in common use are anonymous and homogeneous. In this case there is a much more succinct representation (using the voting simplex) of the inputs to the rule. This representation h...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
- CoRR
دوره abs/1610.01902 شماره
صفحات -
تاریخ انتشار 2016