 In what follows, \(\preceq\) represents a weak preference relation. So \(A\preceq B\) means that the agent we are interested in considers option \(B\) to be at least as preferable as option \(A\). From the weak preference relation we can define the strict preference relation, \(\prec\), as follows: \(A\prec B\Leftrightarrow A\preceq B \ \&amp; \ \neg (B\preceq A)\), where \(\neg X\) means “it is not the case that \(X\)”. The indifference relation, \(\sim\), is defined as: \(A\sim B \Leftrightarrow A\preceq B \ \&amp; \ B\preceq A\). This represents that the agent we are interested in considers \(A\) and \(B\) to be equally preferable.