The dilemma that the tenants of Sunset Towers face is whether or not they should share their clues to Sam Westing's inheritance game. They have been trapped for three days with no phone service, and the transcript of Sam Westing's will had been stolen.
A pale sun rose on the third snowbound morning. Lake Michigan lay calm, violet, now blue, but the tenants of sunset Towers on waking turned to a different view. Lured by the Westing house they stood at their side windows scoffing at the danger, daring to dream. Should they or shouldn't they share their clues? Well, they'd go to the meeting in the coffee shop just to see what the others intended to do. (63)
The heirs haven't been able to get very far with their clues, and since the copy of the will is no longer available to them they are considering pooling their resources. The fact that the heirs are becoming increasingly suspicious and hostile to each other isn't helping, and the forced confinement raises their fears and uneasiness.
Source: Raskin, Ellen. The Westing Game. New York: Avon Books, 1978.