The golden age is all fine and dandy, but the alternative has negative infinity payoff, so your only rational choice, unless you can discover with certainty before answering whether the alien is a liar, is definitely option 3.
The golden age is all fine and dandy, but the alternative has negative infinity payoff, so your only rational choice, unless you can discover with certainty before answering whether the alien is a liar, is definitely option 3.