Final answer:
In a prisoner's dilemma scenario, Jane and Bill should confess if they trust each other to stay silent. However, there is no dominant strategy for either Jane or Bill as their decisions depend on their perception of each other's choices.
Step-by-step explanation:
In this scenario, Jane and Bill find themselves in a prisoner's dilemma situation. If Jane trusts Bill to stay silent, she should confess because she could get a lighter sentence of 15 years instead of 20 years if she remains silent. If Jane thinks that Bill will confess, she should also confess to reduce her sentence to 30 years instead of 35 years. However, Jane does not have a dominant strategy as her best course of action depends on her perception of Bill's decision. Similarly, Bill does not have a dominant strategy as his best course of action also depends on his perception of Jane's decision.