  An agent, or a coalition of agents, faces an ethical dilemma between several
statements if she is forced to make a conscious choice between which of these
statements will be true. This paper proposes to capture ethical dilemmas as a
modality in strategic game settings with and without limit on sacrifice and for
perfect and imperfect information games. The authors show that the dilemma
modality cannot be defined through the earlier proposed blameworthiness
modality. The main technical result is a sound and complete axiomatization of
the properties of this modality with sacrifice in games with perfect
information.
