We have long been fascinated by a philosophical problem referred to as “**Pascal’s Wager**” (see payoff table below). By way of example, we blogged about this problem previously here. Today, as a public service to our fellow devotees of this problem, we have assembled the following set of insightful and original blog posts on Pascal’s famous wager:

1. “The problem at the heart of Pascal’s wager” by our friend and colleague **Paul Gowder**, via Overcoming Bias. Gowder draws a distinction between belief and action. Here is an excerpt: “This is a problem that’s very difficult, and I don’t purport to offer a solution. But we should think of it as a serious line of objection to the Pascal’s wager type of argument: if consequences are simply inadmissible in belief-formation processes, Pascal’s argument fails on the spot.”

2. “Where does Pascal’s wager fail?” by a person (or bot?) using the pseudonym “**Utilitarian**“, also via Overcoming Bias. The author of this post, whoever they are, concludes that Pascal’s wager is too computationally difficult to solve: “With vast amounts of data to process and an enormous space of possible religious hypotheses to search, Pascal’s wager (which is just an optimization problem) is computationally infeasible, especially for human minds.”

3. “Pascal’s mugging: tiny probabilities of vast utilities” by **Eliezer Yudkowsky **(@ESYudkowsky), via Less Wrong. Yudkowsky reformulates the wager as a threat problem: “Now suppose someone comes to [you] and says, ‘Give me five dollars, or I’ll use my magic powers from outside the Matrix to run a Turing machine that simulates and kills 3^^^^3 people.'” So, should you pay the five dollars?

Source: William Lane Craig

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## About F. E. Guerra-Pujol

When I’m not blogging, I am a business law professor at the University of Central Florida.

Yes, but what if you believe there is only ONE player in this game? Game Theory requires two players with separate strategies, not one player playing a strategy against his own possible state-of-mind!

Excellent point!

Excuse my ignorance , I was preciously unaware of the overcoming bias. Thank you for proving me with a brief run down and demonstrating its application to Pascal’s Wager.

overcoming bias is an excellent blog; enjoy!

** typo- meant previously unaware.