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Social choice and information: the informational structure of uniqueness theorems in axiomatic social theories
- Source :
-
Mathematical Social Sciences . Sep2004, Vol. 48 Issue 2, p121-138. 18p. - Publication Year :
- 2004
-
Abstract
- The paper introduces the category of algebraic axioms and investigates when a social rule of decision-making can be uniquely characterized with such axioms. The first result shows that every set of axioms that characterize a given rule is equivalent to a set of three algebraic axioms. The second result suggests a method for constructing an algebraic proof of uniqueness via finding an appropriate path of maps. It says that we can characterize a rule if and only if we can find a path. Both theorems are then used to prove and analyze various characterization results in May''s binary social choice, Nash bargaining theory, and Sen''s social choice theory. [Copyright &y& Elsevier]
- Subjects :
- *DECISION making
*SOCIAL psychology
*WELFARE economics
*PROBLEM solving
Subjects
Details
- Language :
- English
- ISSN :
- 01654896
- Volume :
- 48
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- Mathematical Social Sciences
- Publication Type :
- Academic Journal
- Accession number :
- 13736651
- Full Text :
- https://doi.org/10.1016/j.mathsocsci.2003.11.004