|We study the asymptotic|
average minimum manipulating coalition size as a characteristic of quality of a voting rule and show its serious drawback. We suggest using the asymptotic average threshold coalition size instead. We prove that, in large electorates, the asymptotic average threshold coalition size is maximised among all scoring rules by the Borda rule when the number m of alternatives is 3 or 4, and by the variant of approval voting when m>4.
Borda rule, approval voting, coalition, manipulability
Math Review Classification
Primary 91B12 ; Secondary 91B14
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