5 papers · 1 filter
Reformulating the Value Restriction and the Not-Strict Value Restriction in Terms of Possibility Preference Map
Fujun Hou
In social choice theory, Sen's value restriction and Pattanaik's not-strict value restriction are both attractive conditions for testing social preference transitivity and/or non-e…
A counter example to the theorems of social preference transitivity and social choice set existence under the majority rule
Fujun Hou
I present an example in which the individuals' preferences are strict orderings, and under the majority rule, a transitive social ordering can be obtained and thus a non-empty choi…
Describing Sen's Transitivity Condition in Inequalities and Equations
Fujun Hou
In social choice theory, Sen's value restriction condition is a sufficiency condition restricted to individuals' ordinal preferences so as to obtain a transitive social preference…
Mutual Conversion Between Preference Maps And Cook-Seiford Vectors
Fujun Hou
In group decision making, the preference map and Cook-Seiford vector are two concepts as ways of describing ties-permitted ordinal rankings. This paper shows that they are equivale…
Measuring Knowledge for Recognition and Knowledge Entropy
Fujun Hou
People employ their knowledge to recognize things. This paper is concerned with how to measure people's knowledge for recognition and how it changes. The discussion is based on thr…