This paper addresses strategies for the stable marriage problem. For the Gale-Shapley algorithm with men proposing, a classical
theorem states that it is impossible for every cheating man to get a better partner than the one he gets if everyone is truthful.
We study how to circumvent this theorem and incite men to cheat. First we devise coalitions in which a non-empty subset of
the liars get better partners and no man is worse off than before. This strategy is limited in that not everyone in the coalition
has the incentive to falsify his list. In an attempt to rectify this situation we introduce the element of randomness, but
the theorem shows surprising robustness: it is impossible that every liar has a chance to improve the rank of his partner
while no one gets hurt. To overcome the problem that some men lack the motivation to lie, we exhibit another randomized lying
strategy in which every liar can expect to get a better partner on average, though with a chance of getting a worse one. Finally,
we consider a variant scenario: instead of using the Gale-Shapley algorithm, suppose the stable matching is chosen at random.
We present a modified form of the coalition strategy ensuring that every man in the coalition has a new probability distribution
over partners which majorizes the original one.