Jason_t's flight home...

[KidLifeCrisis]

[ QUOTE ]
98 ----> 99 .......100
98------100 .......100
98.......98........98


99.3333333333333


99..........99....99
99..........100...101
99................99
99..........98,,,,,97

99


they both pick 97

because they are aware the other is rational and would pick 98 which would yeild the highest return. so they would both pick 97 in attempt to get 2$ from under bidding the other

[/ QUOTE ]
I have no idea what your numbers represent, but I don't understand how you can conclude that they would both choose $97. If they're both fully cognizant of each others' understanding of game theory, then they would realize that the other is selecting $97 as well, which means that neither would gain nor lose $2. Furthermore, each would be $3 shy of the maximum guess of $100, meaning they're both losing value.

So why not choose $96 to get around this? For the same reason they wouldn't choose $97. They must both realize that choosing $100 results in the best possible outcome.

[mason55]

to everyone in the science test thread:

bummmmmp

[Eurotrash]

did somebody say jason_t?

[kyleb]

hahhahahahahha i totally forgot about that

[kyleb]

[ QUOTE ]
98 ----> 99 .......100
98------100 .......100
98.......98........98


99.3333333333333


99..........99....99
99..........100...101
99................99
99..........98,,,,,97

99


they both pick 97

because they are aware the other is rational and would pick 98 which would yeild the highest return. so they would both pick 97 in attempt to get 2$ from under bidding the other

[/ QUOTE ]

good christ how are you people winning poker players

reading through this thread and seeing responses like this are just absurd

[Arito]

I made it to half of page 3 of this 8 page thread. I can't believe this is supposed to be a poker forum...

[suzzer99]

My favorite OOT thread ever. [img]/images/graemlins/heart.gif[/img]

[Hoi Polloi]

[ QUOTE ]
This is more complicated than it seems. One would assume that 100 would be the best choice, but notice that one player can write down 99 and receive a total sum of $101 should the other player write 100. Therefore the best option for either player is to not write 100. Not every single time at least. Unforetunately thats as far as my understanding on the matter goes. Someone else thats smarter than me should be able to solve this "riddle".

Edit: It looks like MAC has this figured out it seems.

[/ QUOTE ]

Doesn't all this assume that $2 is meaningful to either of these gentlemen? Who cares? $100 is the rational answer, all things considered.