Holmstrom and Gibbard and Satherthwaite proposed similar theories, while Duncan Black proposed that this theory be modified with the so-called "single- peaked preference" principle.
Holmstrom and Gibbard and Satherthwaite proposed similar theories, while Duncan Black proposed that this theory be modified with the so-called "single- peaked preference" principle. Its criterion IIA, also known as the Chernoff condition or Sen's property alpha, concerns the independence of irrelevant alternatives. Proposed in the 1951 book Social Choice and Individual Values, its other criteria include restricted domain, monotonicity, non-imposition, and non-dictatorship. FTP name this theorem holding that no voting system based on ranked preferences can meet these criteria given at least three options to select.
Holmstrom and Gibbard and Satherthwaite proposed similar theories, while Duncan Black proposed that this theory be modified with the so-called "single- peaked preference" principle.
{Arrow’s impossibility} theorem