Social Choice Theory. By Shiyan Li. History. The theory of social choice and voting has had a long history in the social sciences, dating back to early work of Marquis de Condorcet (the 1st rigorous mathematical treatment of voting) and others in the 18th century.
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By Shiyan Li
g (d1, d2, d3, …, dn) =
-1 if N-1(D)>N+1(D)
0 otherwiseFormal Definition of Simple Majority Voting
Absolute Majority Voting
if N+1(d1, d2, d3, …, dn) > n/2
if N-1(d1, d2, d3, …, dn) > n/2
not one-to-one correspondence
one-to-one correspondenceProperty 2 of Rule f