Welcome, Guest. Please Login or Register.
Apr 15th, 2024, 2:33pm

Home Home Help Help Search Search Members Members Login Login Register Register
Arimaa Forum (no) absolute score values for pieces?


   Arimaa Forum
   Arimaa
   Bot Development
(Moderator: supersamu)
   (no) absolute score values for pieces?
« No topic | Next topic »
Pages: 1 ... 7 8 9  Reply Reply Notify of replies Notify of replies Send Topic Send Topic Print Print
   Author  Topic: (no) absolute score values for pieces?  (Read 38157 times)
aaaa
Forum Guru
*****



Arimaa player #958

   


Posts: 768
Re: (no) absolute score values for pieces?
« Reply #120 on: Nov 18th, 2023, 9:13am »
Quote Quote Modify Modify

As a very belated historical note, the chosen values for the constants of HarLog, Q and G, are effectively fully determined by:
  • (as mentioned) being indifferent to an initial trade of a dog for 2 rabbits and
  • having the advantage of an initial trade of a horse and cat for a camel be exactly flipped after all the dogs come off the board.
This works out to finding the positive value Q that satisfies:
G = (Q^2 + 13*Q + 38)/((Q^3 + 15*Q^2 + 74*Q + 120)*ln(10/7)) = -2*(Q^3 + 5*Q^2 - 2*Q - 22)/((Q^4 + 11*Q^3 + 41*Q^2 + 61*Q + 30)*ln(65/56))
IP Logged
Pages: 1 ... 7 8 9  Reply Reply Notify of replies Notify of replies Send Topic Send Topic Print Print

« No topic | Next topic »

Arimaa Forum » Powered by YaBB 1 Gold - SP 1.3.1!
YaBB 2000-2003. All Rights Reserved.