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Axiomatic derivation of scoring rules without the ordering assumption

✍ Scribed by Roger B. Myerson

Publisher
Springer
Year
1995
Tongue
English
Weight
810 KB
Volume
12
Category
Article
ISSN
0176-1714

No coin nor oath required. For personal study only.

✦ Synopsis

Earlier derivations of scoring rules, by Smith (1973) and Young (1975), assumed that a voter can express only a rank ordering of the alternatives on his or her ballot. This paper shows that scoring rules can be derived without this ordering assumption. It is shown that a voting rule must be a scoring rule if it satisfies three basic axioms: reinforcement, overwhelming majorities, and neutrality. Other range and nonreversal axioms are also discussed.

In the next section, we list three axiomatic properties, taken from Smith (1973) and Young (1975), which are sufficient to imply that a voting rule F: Z+ v ~ K can be represented as a scoring rule.

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