The Agreement Game for N players is as follows:

Pick a number from 1 to 10, inclusive.
Everybody wins if all N players agree to pick the same number. Otherwise, everybody loses.
There are no restrictions on communication or collaboration.

Is there a branch of philosophy which would be concerned with analysing this game? I considered whether this might be the domain of game theory, but the dearth of rules makes me unsure.

closed as off-topic by Conifold, John Am, Swami Vishwananda, Philip Klöcking, Dan Hicks Aug 1 '17 at 16:35

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  • This is similar to the multi-person prisoner's dilemma (the prisoners pick 0 or 1, stonewall or talk, and everybody wins if nobody picks 1) or stag hunt, and the tragedy of the commons. The agreement game is less interesting since there are no self-interest incentives. But this belongs to the theory of cooperative games and economics more than philosophy. – Conifold Jul 26 '17 at 21:14
  • Are you interested specifically in the no-self-interest case? Consider the Pizza game: "We're getting pizza. I'll pay for all of it if everyone can agree on the same toppings." (it's also known as the How to Never Have to Pay for Pizza Game). Is that game in the same class as the Agreement Game, or are you looking to draw a distinction between them? – Cort Ammon Jul 27 '17 at 1:24
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    Without some criteria like that, it's hard to say what branch of philosophy would be concerned with it. Many branches are concerned with "everything," so if you're not rejecting anything, there's going to be a long list that are "concerned" with this game in some way or another. – Cort Ammon Jul 27 '17 at 1:25
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    this is game theory, not philosophy – Swami Vishwananda Jul 29 '17 at 8:38

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