 As an example, suppose that there are three men \(a, b, c\) and three women \(d, e, f\), and the lists of preferences are as follows (with the most preferred one first in the list): \(a: edf\), \(b: {\it fed}\), \(c: {\it dfe}\), \(d: {\it abc}\), \(e: {\it cda}\), \(g: {\it acb}\). So \(a: {\it edf}\) means that \(a\) prefers \(e\) to \(d\) and \(d\) to \(f\). It is assumed that preferences are transitive, so \(a\) also prefers \(e\) to \(f\).