## Game Theory

What is the basis for reason? And mathematics?

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Metazoan
Posts: 98
Joined: Sat Nov 10, 2007 11:23 am

### Re: Game Theory

Hi Arising,

Keep going, you look like you are nearly there. I had similar sketches to you.

If I can find some time I will optimize my script to see if it then matches the proposed solution.

Clue (maybe ):-

To be 100% sure of escape they must match and be seen (a priori) to be the only optimal solution.

The optimal bit caught me out. I didn't expect there to be any sub-optimal yet viable solutions, only one, so I didn't check.

No more clues.

M.

Metazoan
Posts: 98
Joined: Sat Nov 10, 2007 11:23 am

### Re: Game Theory

Phew,

I optimized the script and it now matches the given solution.

Fortunately, with the given example, my solution was slower and the right answer could be given by either party. The quickest would have known on day 5 so would call it correctly.

Got out of jail free that time. That will teach me to get all excited and prematurely shout out.

The script:-

Day 1: If you see 11, 12, or 13 then call 13. (Duh!)
Day 2: If you see 0, 1, or 2 then call 10. The other person is seeing 10, 9, or 8. If they saw 13, 12, or 11 they would have called at day 1.
Day 3: If you see 8, 9, or 10 then call 13. The other person is seeing 5, 4, or 3. If they saw 2, 1, or 0 they would have called at day 2.
Day 4: If you see 3, 4, or 5 then call 10. The other person is seeing 7, 6, or 5. If they saw 10, 9, or 8 they would have called at day 3.
Day 5: You will see 6 or 7 so will your partner. Either call 13 because 4 and 3 would have been called on day 4.

Back to work.

M.

TSBU
Posts: 825
Joined: Wed Sep 14, 2016 5:46 pm

### Re: Game Theory

Metazoan wrote: Back to work.

M.
Post a question now, I want to play too XD.

Justintruth
Posts: 109
Joined: Sun Aug 21, 2016 4:10 pm

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