Talk:Pig the dice game/Player: Difference between revisions
no edit summary
(→Strategy: not "winning", but "more likely to win") |
No edit summary |
||
Line 80:
: I believe this particular game has a unique solution, and I do have ''a'' solution of the P matrix, although proving it's unique is not easy. The holding choice pattern is pasted [http://pastebin.com/SWhU4mL7 here], where each row starts with two numbers, your current score and current holding score; the horizontal axis is the opponent's current score. Wherever there's a dot, it means you're better off hold; otherwise you should roll. For example, on line "0 21: ", there are 11 dots at the begining of the line, which means: if your total score is 0, and have already rolled 21 points this turn, then your best choice is hold if opponent has 0-10 points, but better keep rolling if he has 11 or more. The graph has many odd features, but generally makes sense. --[[User:Ledrug|Ledrug]] 13:13, 15 September 2012 (UTC)
:: That's an interesting set of data. I would particularly like to understand the "concave" parts of the holding pattern -- especially for right-facing concavities (such as the rightmost part of 36 22: through 36 25:). Those features seem counter-intuitive to me. Thanks. --[[User:Rdm|Rdm]] 23:39, 15 September 2012 (UTC)
I should at least include a strategy of random play in my solution so that I can gauge any other strategy against it.--[[User:Paddy3118|Paddy3118]] 11:28, 15 September 2012 (UTC)
| |||