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in_water_writ February 24 2011, 19:21:18 UTC
... I'm confused. Does B get to ask for more money if he pays the third party to find out how much money A has?

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pezzonovante February 24 2011, 19:22:18 UTC
No. B can never negotiate his/her payout. B's only options are Accept and Reject.

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in_water_writ February 24 2011, 19:26:06 UTC
Then it makes no sense to me to pay a third person to find out how much money A has. Finding out that there is more money available doesn't actually get B more money, so paying a third party subtracts from whatever money B would be receiving.

Also, am I missing something? I don't see any risk associated with accepting the money, regardless of what the offer is or how much A received...

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pezzonovante February 24 2011, 19:32:39 UTC
It's a known irrationality among players of the game.

To a cold logical mind, any offer should be accepted, because getting some money is better than getting none. Even a payout of $1 is better than what you get from rejecting.

When the experiment is done in the wild, however, most people Reject when the offer is under 20-25% of the pot. I'm haven't read up on the explanation for this recently, but I seem to recall it has to do with a brain mechanism that makes people try to punish others for their lack of altruism.

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in_water_writ February 24 2011, 19:38:01 UTC
... What incentive does A even have to give B money? Just "you're my friend, here's 15 bucks?" If B didn't contribute to A getting money, A has no obligation to giving B ANY money, and if A takes B out to a $10 lunch, B should do the smart thing and be happy about his free lunch, because if he rejects that $10, he pays for his own lunch.

Maybe I'm just coldly logical, and also appreciative of even small acts of kindness.

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in_water_writ February 24 2011, 19:38:33 UTC
Er, this was meant to be a reply to your other reply. Don't even know what I clicked.

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pezzonovante February 24 2011, 19:48:58 UTC
The incentive for A is fear of B using his/her Reject option. If I want to keep any of my money, I better make you an offer you won't refuse.

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in_water_writ February 24 2011, 20:11:00 UTC
Oooooh I missed that line in the original description of the game. I thought it was "A gets money as long as A at least offers B money, regardless of whether B accepts it." That was dumb of me ( ... )

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londo February 24 2011, 20:07:26 UTC
If A is a rational actor and aware of how this game is normally played, the existence of the third option should encourage A to offer a larger share.

If B is a strictly rational actor whose only decision scope is profit from *this game* he/she should accept A's offer and forget the third option exists. The third option is "lose money to learn a piece of information that doesn't change a decision moments before I would have learned it anyway."

If B is a less rational, more normal actor who is concerned with "fairness" then I suspect they will pay a good chunk to make sure they're not getting "screwed out of their fair share" of $500.

I'd also posit that, in the less-rational-B case offering anything between $100 and $249, inclusive, is likely to go poorly, and that offering anything between $51 and $99 might go poorly too.

It would be an interesting game if A and B had to reach a consensus before A knew how much was in the envelope.

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ninja_report February 24 2011, 21:45:35 UTC
What if B's option C is "offer someone a percentage of their given take to find out the amount A received, then choose"?

It eliminates the "well, if I reject, now I'm out money" thing. Though it then brings into question whether or not the third party will be telling the truth.

I'd expect that in the modified option, $40-45 is A's best offer regardless of how much money you have received (maybe as low as $35). Higher, and B would assume you had the $500 and were being stingy, rather than the $100 and being generous.

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rgfgompei February 25 2011, 01:08:27 UTC
So A is allowed to lie about receiving $100, but not about receiving $500? Then if A claims to have been given $500, B can be sure it is the truth. I can't see how this is useful to anyone though.

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rgfgompei February 25 2011, 21:18:48 UTC
Also, if A claims to have been given $100 and I pay a third party and learn that it was a lie I have additional information that A is a liar (where if A couldn't make a claim about how much they were given I would be entirely uncertain about A's proclivity for lying).

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