Pascal's wager

Pascal's wager

Analysis with decision theory: dominance has a specific meaning in game theory and I don't think that meaning was intended here.

← Previous revision Revision as of 16:40, 25 April 2026
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Given these values, the option of living as if God exists (B) dominates the option of living as if God does not exist (¬B), as long as one assumes a positive probability that God exists. In other words, the expected value gained by choosing B is greater than or equal to that of choosing ¬B.
Given these values, the option of living as if God exists (B) always has a greater [[expected value]] than the option of living as if God does not exist (¬B), as long as one assumes a positive probability that God exists.


In fact, according to decision theory, the only value that matters in the above matrix is the +∞ (infinitely positive). Any matrix of the following type (where f1, f2, and f3 are all negative or finite positive numbers) results in (B) as being the only rational decision.
In fact, according to decision theory, the only value that matters in the above matrix is the +∞ (infinitely positive). Any matrix of the following type (where f1, f2, and f3 are all negative or finite positive numbers) results in (B) as being the only rational decision.