 The rationale for its proposal lies in the idea that, if \(x_1\succ x_2\), then \(x_1Ax_2\succeq x_1Bx_2\) reflects a commitment to the claim that \(A\) is at least as probable as \(B\), and hence, so too must \(x_3Ax_4\succeq x_3Bx_4\), when \(x_3\succ x_4\).