An exit-strategy is a plan for getting out of a tight spot, a FlameWar, an embarassing situation, a hold-up where you feel you are wasting time, or some financial engagement, etc. Making a plan is supposed to help you PullOut at the right time – before your reputation is damaged too badly, before your losses exceed your winnings, before FrustrationParalysis sets in.
The important part is to recognize this willingness to leave in others and let them off the hook quickly in order to end the conflict, and it is important to let others know when you have decided upon an exit-strategy (and which one it is). This minimizes damage for all participants.
By indicating early on that you don’t have a strong opinion in a subject, you are implicitly offering to just let it be, for example. If others agree with you, then the desired outcome can be achieved quicker.
By indicating early on that you don’t mind what decision your team is taking as long as you don’t have to do it, you are avoiding responsibility. If others agree that you need not share the burden, you may leave the decision-making process early on and let them decide it amongst themselves.
If, on the other hand, you keep arguing and disagreeing, you are demonstrating an unwillingness to compromise and others will entrench themselves and fight with you all the more.