The Superior Being (henceforth SB) has two strategies: One, to reveal Himself, only whichestablishes His existence to mortals; and two, not to reveal Himself. Similarly, the humble mortalBlaise Pascal (henceforth P) has two strategies: One, to believe in SB; two, not to believe in SB. Let'sassume that each player has a primary and a secondary goal. SB's primary goal is for P to believe inHis existence and His secondary goal is not to reveal Himself. P's primary goal is to confirm his beliefabout SB's existence or non-existence through some evidence, while P's secondary goal is to believe.(For P, something is either true or false without any room for ambiguity. Therefore, not having anyevidence of existenceistantamount tonon-existence).

The payoffs are determined by the fact that fulfillment of goals is valuable (non-fulfillment of goalsmay be standardized at zero, payoff wise) and fulfillment of the primary goal is more valuablecomparedtofulfillmentofthe secondary goal.

Form a simultaneous game with the aforementioned players with appropriate payoffs. What is theoutcomeof th egame.