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Are we done with preference rankings? if we are, then what?

Nurmi H.

Operations Research and Decisions

2014

Vol. 24, No. 4

63--74

Intransitive, incomplete and discontinuous preferences are not always irrational but may be based on quite reasonable considerations. Hence, we pursue the possibility of building a theory of social choice on an alternative foundation, viz. on individual preference tournaments. Tournaments have been studied for a long time independently of rankings and a number of results are therefore just waiting to be applied in social choice. Our focus is on Slater’s rule. A new interpretation of the rule is provided.