[ Help | Earliest Comments | Latest Comments ][ List All Subjects of Discussion | Create New Subject of Discussion ][ List Earliest Comments Only For Pages | Games | Rated Pages | Rated Games | Subjects of Discussion ]Single Comment Piece Values[Subject Thread] [Add Response] Derek Nalls wrote on Fri, Nov 7, 2008 06:46 AM UTC:Upon closer consideration, I have decided to cancel 3 out of the 4 planned playtests using Joker80 running under Winboard F to play Embassy Chess (mirror). The reason is that I suspect they are probably untestable conclusively within an achievable amount of time and number of games since differences of less than 5% in value between the CRC pieces under study are expected. Obviously, 'untestable playtests' are oxymorons indicative of a total waste of CPU time. Please allow me to show the numbers behind my thinking based upon the present CRC piece values models of Nalls & Muller. [Unfortunately, I no longer regard the CRC model of Scharnagl as being sufficiently refined in compliance with experimental results to yield accurate, predictive values.] _____________________________ playtest #1 Embassy Chess (mirror) 1 queen missing vs. 2 rooks missing Nalls rook 59.43 queen 115.18 2 rooks / 1 queen = 1.0319 Muller rook 55.88 queen 111.76 2 rooks / 1 queen = 1.0000 __________________________ average (Nalls & Muller) 2 rooks / 1 queen = 1.0160 Conclusion- untestable! _______________________ playtest #2 Embassy Chess (mirror) 1 archbishop missing vs. 1 rook + 1 bishop missing Nalls bishop 37.56 rook 59.43 archbishop 98.22 1 rook + 1 bishop / 1 archbishop = 0.9875 Muller bishop 45.88 rook 55.88 archbishop 102.94 1 rook + 1 bishop / 1 archbishop = 0.9885 __________________________________________ average (Nalls & Muller) 1 rook + 1 bishop / 1 archbishop = 0.9880 Conclusion- untestable! _______________________ playtest #3 Embassy Chess (mirror) 1 chancellor missing vs. 1 rook + 1 bishop missing Nalls bishop 37.56 rook 59.43 chancellor 101.48 1 rook + 1 bishop / 1 chancellor = 0.9558 Muller bishop 45.88 rook 55.88 chancellor 105.88 1 rook + 1 bishop / 1 chancellor = 0.9611 __________________________________________ average (Nalls & Muller) 1 rook + 1 bishop / 1 chancellor = 0.9585 Conclusion- untestable! ________________________ playtest #4 Embassy Chess (mirror) 1 archbishop missing vs. 1 rook + 1 knight missing Nalls knight 30.77 rook 59.43 archbishop 98.22 1 rook + 1 knight / 1 archbishop = 0.9183 Muller knight 35.29 rook 55.88 archbishop 102.94 1 rook + 1 knight / 1 archbishop = 0.8857 __________________________________________ average (Nalls & Muller) 1 rook + 1 knight / 1 archbishop = 0.9020 Conclusion- testable! ______________________ Thus, I will begin playtest #4 very soon.