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What (who) is minimax - definition
DECISION RULE USED IN ARTIFICIAL INTELLIGENCE, DECISION THEORY, GAME THEORY, STATISTICS AND PHILOSOPHY FOR MINIMIZING THE POSSIBLE LOSS FOR A WORST CASE (MAXIMUM LOSS) SCENARIO
Minimax algorithm; Minimax test; Maximin principle; Maximin criterion; Minmax; Maximin (decision theory); Bottleneck programming; Minimax strategy; Game value; Maximin (philosophy); Minimax principle; Maxmin; MiniMax; Minimax Strategy; Minimax solution; Minmax algorithm; Maximin Principle
![An animated pedagogical example that attempts to be human-friendly by substituting initial infinite (or arbitrarily large) values for emptiness and by avoiding using the [[negamax]] coding simplifications.](https://commons.wikimedia.org/wiki/Special:FilePath/Plminmax.gif?width=200 "An animated pedagogical example that attempts to be human-friendly by substituting initial infinite (or arbitrarily large) values for emptiness and by avoiding using the [[negamax]] coding simplifications.")
minimax
![Front and rear views of the ''[[Carry-I]]'' book-sized diskless workstation, bundled with DR DOS 5.0, based on an [[Intel 80286]] processor and produced by Taiwan's [[Flytech Technology]] c. 1991](https://commons.wikimedia.org/wiki/Special:FilePath/Carry-i-front-and-rear.jpg?width=200 "Front and rear views of the ''[[Carry-I]]'' book-sized diskless workstation, bundled with DR DOS 5.0, based on an [[Intel 80286]] processor and produced by Taiwan's [[Flytech Technology]] c. 1991")
OPERATING SYSTEM
OpenDOS; Novell DOS; Opendos; Doctor DOS; Open DOS; Open-DOS; Novell-DOS; DR DOS; DrDOS; Enhanced DR-DOS; EDR-DOS; Enhanced Dr-DOS; Novell dos; PalmDOS; Caldera UK; Caldera UK Ltd.; Caldera UK Limited; Caldera (UK) Limited; Caldera (UK) Ltd.; Caldera (UK); DR/DOS; NWDOS; Caldera OpenDOS; EZ-DOS; DRFAT32; Caldera DR-OpenDOS; DR-OpenDOS; Novell DOS 7; WinGlue; WINGLUE.COM; WinBolt; DR DOS "Leopard"; DR DOS Leopard; DR DOS "Buxton"; DR DOS Buxton; DR DOS "Merlin"; DR DOS Merlin; DR DOS "Panther"; DR DOS Panther; DR-DOS "WinBolt"; DR-DOS WinBolt; Novell "Vladivar"; PQDOS; DRDOS.SYS; Dell Real Mode Kernel; DRMK; DRBIO.SYS; Dr. DOS; DR-DOS 8.0; OpenDOS 7.01; DR-OpenDOS 7.02; DR-DOS 7.02; DR-DOS 7.03; DR-DOS 7.04; DR-DOS 7.05; DR-DOS 7.06; DR-DOS 7.07; DR DOS 3.31; DR DOS 3.32; DR DOS 3.33; DR DOS 3.34; DR DOS 3.35; DR DOS 3.40; DR DOS 3.41; DR DOS 5.0; DR DOS 6.0; PalmDOS 1.0; MemMAX; MEMMAX; MiniMAX; MINIMAX; Personal Information Module; Personal information module; NetWare PalmDOS 1.0; NetWare PalmDOS; Novell NetWare PalmDOS; Novell PalmDOS; Dell Real-Mode Kernel; VERSION; VERSION.EXE; VERSION (DOS command); VERSION.EXE (DR-DOS); WINGLUE; LOADER.COM; LOADER (DOS command); LOADER.SYS; DRFAT32.EXE; DRFAT32.SYS; Caldera DOS; Caldera DR-DOS; Lineo DOS; Lineo DR-DOS; Caldera Thin Clients DR-DOS; Caldera COD; COD (Caldera); NOVOS; NovOS; DR-SBK; Caldera DR-SBK; DR-System Builder Kit; Caldera DR-System Builder Kit; SECURITY.BIN; Caldera OpenDOS 7.01; DR DOS 3.41T; EZ-DOS 3.41; Caldera DR-OpenDOS 7.02; DRDOS.COM; EDIT (DR-DOS); EDITOR (DR-DOS); ROM Operating System; Digital Research ROS; Novell ROS; Caldera ROS; DR ROS; ROS (operating system); OpenDOS 7.01.08; OpenDOS 7.01.07; OpenDOS 7.01.06; OpenDOS 7.01.05; OpenDOS 7.01.04; OpenDOS 7.01.03; OpenDOS 7.01.02; OpenDOS 7.01.01; Winglue; DISKMAP; SunPCi OpenDOS; Sun OpenDOS; Oracle OpenDOS; DR-DOS 3.31; Caldera DR-DOS 7.02; Caldera DR-DOS 7.03; DR-Flash; DR DOS 6.0/V; Caldera Digital Research Systems; Caldera Digital Research Systems Group; Caldera DSG; Digital Research Systems Group (Caldera); Dell RMK; Caldera Winglue; Caldera WinGlue; Caldera WinBolt; DRDOS (operating system); NetWare DOS; Novell NetWare DOS; Novell NWDOS; Law 774 Limited; Law 774 Ltd.; Trau keinem DOS unter 7; ND7TID.EXE; MEM TUT.EXE; STAC TUT.EXE; TMGR TUT.EXE; NWCH TUT.EXE; DOPT TUT.EXE; SEC TUT.EXE; FLNK TUT.EXE; DR6TID.EXE; TaskMAX; MemoryMAX; DiskMAX; NWDOS.INI; OPENDOS.INI; DRDOS.INI; DOS.INI; OPENDOS; DRDOS (Caldera); DRDOS (Digital Research); DRDOS (Novell); \NWDOS; /NWDOS; /NWDOS/; \NWDOS\; \OPENDOS; /OPENDOS; /OPENDOS/; \OPENDOS\; \DRDOS; /DRDOS; /DRDOS/; \DRDOS\; MULTIMAX.EXE; MultiMAX; DR DOS 6.0 business update; IBMBIO.LDR; BOOT.LST; Caldera DR-DOS Division; Law 774 (company); Digital Research Newbury; Caldera Andover; Digital Research Hungerford; Novell Hungerford; TASKMAX; Novell DR DOS 6.0; Novell NetWare Desktop System DR DOS 6.0; Novell DR DOS; Novell NetWare Desktop System; Novell NetWare Desktop System DR DOS; NetWare Desktop System DR DOS; NetWare Desktop System DR DOS 6.0; Novell DR DOS 6.0 NetWare Desktop System; Novell DR DOS NetWare Desktop System; 2001 Sales EZ-DOS; 2001 Sales EZ-DOS 3.41; 2001 Sales, Inc. EZ-DOS 3.41; 2001 Sales, Inc. EZ-DOS; EZDOS; EZ-DOS 4.1 Deluxe; EZ-DOS 4.1; 2001 Sales EZ-DOS 4.1 Deluxe; 2001 Sales EZ-DOS 4.1; The Advanced Networking DOS That's Easy to Use; DR DOS 3.3x; DR DOS 3.4x
<games> An algorithm for choosing the next move in a two
player game. A player moves so as to maximise the minimum
value of his opponent's possible following moves. If it is my
turn to move, I give a value to each legal move I might make.
If the result of a move is an immediate win for me I give it
positive infinity and, if it is an immediate win for you,
negative infinity. The value to me of any other move is the
minimum of the values resulting from each of your possible
replies.
The above algorithm will give every move a value of positive
or negative infinity since the value of every move will be the
value of some final winning or losing move. This can be
extended if we can supply a heuristic evaluation function
which gives values to non-final game states without
considering all possible following complete sequences. We can
then limit the minimax algorithm to look only a certain number
of moves ahead. This number is called the "look-ahead" or
"ply".
See also alpha/beta pruning.
[Is "maximin" used? Is it significantly different? ]
(2000-12-07)
minimax
OPERATING SYSTEM
OpenDOS; Novell DOS; Opendos; Doctor DOS; Open DOS; Open-DOS; Novell-DOS; DR DOS; DrDOS; Enhanced DR-DOS; EDR-DOS; Enhanced Dr-DOS; Novell dos; PalmDOS; Caldera UK; Caldera UK Ltd.; Caldera UK Limited; Caldera (UK) Limited; Caldera (UK) Ltd.; Caldera (UK); DR/DOS; NWDOS; Caldera OpenDOS; EZ-DOS; DRFAT32; Caldera DR-OpenDOS; DR-OpenDOS; Novell DOS 7; WinGlue; WINGLUE.COM; WinBolt; DR DOS "Leopard"; DR DOS Leopard; DR DOS "Buxton"; DR DOS Buxton; DR DOS "Merlin"; DR DOS Merlin; DR DOS "Panther"; DR DOS Panther; DR-DOS "WinBolt"; DR-DOS WinBolt; Novell "Vladivar"; PQDOS; DRDOS.SYS; Dell Real Mode Kernel; DRMK; DRBIO.SYS; Dr. DOS; DR-DOS 8.0; OpenDOS 7.01; DR-OpenDOS 7.02; DR-DOS 7.02; DR-DOS 7.03; DR-DOS 7.04; DR-DOS 7.05; DR-DOS 7.06; DR-DOS 7.07; DR DOS 3.31; DR DOS 3.32; DR DOS 3.33; DR DOS 3.34; DR DOS 3.35; DR DOS 3.40; DR DOS 3.41; DR DOS 5.0; DR DOS 6.0; PalmDOS 1.0; MemMAX; MEMMAX; MiniMAX; MINIMAX; Personal Information Module; Personal information module; NetWare PalmDOS 1.0; NetWare PalmDOS; Novell NetWare PalmDOS; Novell PalmDOS; Dell Real-Mode Kernel; VERSION; VERSION.EXE; VERSION (DOS command); VERSION.EXE (DR-DOS); WINGLUE; LOADER.COM; LOADER (DOS command); LOADER.SYS; DRFAT32.EXE; DRFAT32.SYS; Caldera DOS; Caldera DR-DOS; Lineo DOS; Lineo DR-DOS; Caldera Thin Clients DR-DOS; Caldera COD; COD (Caldera); NOVOS; NovOS; DR-SBK; Caldera DR-SBK; DR-System Builder Kit; Caldera DR-System Builder Kit; SECURITY.BIN; Caldera OpenDOS 7.01; DR DOS 3.41T; EZ-DOS 3.41; Caldera DR-OpenDOS 7.02; DRDOS.COM; EDIT (DR-DOS); EDITOR (DR-DOS); ROM Operating System; Digital Research ROS; Novell ROS; Caldera ROS; DR ROS; ROS (operating system); OpenDOS 7.01.08; OpenDOS 7.01.07; OpenDOS 7.01.06; OpenDOS 7.01.05; OpenDOS 7.01.04; OpenDOS 7.01.03; OpenDOS 7.01.02; OpenDOS 7.01.01; Winglue; DISKMAP; SunPCi OpenDOS; Sun OpenDOS; Oracle OpenDOS; DR-DOS 3.31; Caldera DR-DOS 7.02; Caldera DR-DOS 7.03; DR-Flash; DR DOS 6.0/V; Caldera Digital Research Systems; Caldera Digital Research Systems Group; Caldera DSG; Digital Research Systems Group (Caldera); Dell RMK; Caldera Winglue; Caldera WinGlue; Caldera WinBolt; DRDOS (operating system); NetWare DOS; Novell NetWare DOS; Novell NWDOS; Law 774 Limited; Law 774 Ltd.; Trau keinem DOS unter 7; ND7TID.EXE; MEM TUT.EXE; STAC TUT.EXE; TMGR TUT.EXE; NWCH TUT.EXE; DOPT TUT.EXE; SEC TUT.EXE; FLNK TUT.EXE; DR6TID.EXE; TaskMAX; MemoryMAX; DiskMAX; NWDOS.INI; OPENDOS.INI; DRDOS.INI; DOS.INI; OPENDOS; DRDOS (Caldera); DRDOS (Digital Research); DRDOS (Novell); \NWDOS; /NWDOS; /NWDOS/; \NWDOS\; \OPENDOS; /OPENDOS; /OPENDOS/; \OPENDOS\; \DRDOS; /DRDOS; /DRDOS/; \DRDOS\; MULTIMAX.EXE; MultiMAX; DR DOS 6.0 business update; IBMBIO.LDR; BOOT.LST; Caldera DR-DOS Division; Law 774 (company); Digital Research Newbury; Caldera Andover; Digital Research Hungerford; Novell Hungerford; TASKMAX; Novell DR DOS 6.0; Novell NetWare Desktop System DR DOS 6.0; Novell DR DOS; Novell NetWare Desktop System; Novell NetWare Desktop System DR DOS; NetWare Desktop System DR DOS; NetWare Desktop System DR DOS 6.0; Novell DR DOS 6.0 NetWare Desktop System; Novell DR DOS NetWare Desktop System; 2001 Sales EZ-DOS; 2001 Sales EZ-DOS 3.41; 2001 Sales, Inc. EZ-DOS 3.41; 2001 Sales, Inc. EZ-DOS; EZDOS; EZ-DOS 4.1 Deluxe; EZ-DOS 4.1; 2001 Sales EZ-DOS 4.1 Deluxe; 2001 Sales EZ-DOS 4.1; The Advanced Networking DOS That's Easy to Use; DR DOS 3.3x; DR DOS 3.4x
Minimax
OPERATING SYSTEM
OpenDOS; Novell DOS; Opendos; Doctor DOS; Open DOS; Open-DOS; Novell-DOS; DR DOS; DrDOS; Enhanced DR-DOS; EDR-DOS; Enhanced Dr-DOS; Novell dos; PalmDOS; Caldera UK; Caldera UK Ltd.; Caldera UK Limited; Caldera (UK) Limited; Caldera (UK) Ltd.; Caldera (UK); DR/DOS; NWDOS; Caldera OpenDOS; EZ-DOS; DRFAT32; Caldera DR-OpenDOS; DR-OpenDOS; Novell DOS 7; WinGlue; WINGLUE.COM; WinBolt; DR DOS "Leopard"; DR DOS Leopard; DR DOS "Buxton"; DR DOS Buxton; DR DOS "Merlin"; DR DOS Merlin; DR DOS "Panther"; DR DOS Panther; DR-DOS "WinBolt"; DR-DOS WinBolt; Novell "Vladivar"; PQDOS; DRDOS.SYS; Dell Real Mode Kernel; DRMK; DRBIO.SYS; Dr. DOS; DR-DOS 8.0; OpenDOS 7.01; DR-OpenDOS 7.02; DR-DOS 7.02; DR-DOS 7.03; DR-DOS 7.04; DR-DOS 7.05; DR-DOS 7.06; DR-DOS 7.07; DR DOS 3.31; DR DOS 3.32; DR DOS 3.33; DR DOS 3.34; DR DOS 3.35; DR DOS 3.40; DR DOS 3.41; DR DOS 5.0; DR DOS 6.0; PalmDOS 1.0; MemMAX; MEMMAX; MiniMAX; MINIMAX; Personal Information Module; Personal information module; NetWare PalmDOS 1.0; NetWare PalmDOS; Novell NetWare PalmDOS; Novell PalmDOS; Dell Real-Mode Kernel; VERSION; VERSION.EXE; VERSION (DOS command); VERSION.EXE (DR-DOS); WINGLUE; LOADER.COM; LOADER (DOS command); LOADER.SYS; DRFAT32.EXE; DRFAT32.SYS; Caldera DOS; Caldera DR-DOS; Lineo DOS; Lineo DR-DOS; Caldera Thin Clients DR-DOS; Caldera COD; COD (Caldera); NOVOS; NovOS; DR-SBK; Caldera DR-SBK; DR-System Builder Kit; Caldera DR-System Builder Kit; SECURITY.BIN; Caldera OpenDOS 7.01; DR DOS 3.41T; EZ-DOS 3.41; Caldera DR-OpenDOS 7.02; DRDOS.COM; EDIT (DR-DOS); EDITOR (DR-DOS); ROM Operating System; Digital Research ROS; Novell ROS; Caldera ROS; DR ROS; ROS (operating system); OpenDOS 7.01.08; OpenDOS 7.01.07; OpenDOS 7.01.06; OpenDOS 7.01.05; OpenDOS 7.01.04; OpenDOS 7.01.03; OpenDOS 7.01.02; OpenDOS 7.01.01; Winglue; DISKMAP; SunPCi OpenDOS; Sun OpenDOS; Oracle OpenDOS; DR-DOS 3.31; Caldera DR-DOS 7.02; Caldera DR-DOS 7.03; DR-Flash; DR DOS 6.0/V; Caldera Digital Research Systems; Caldera Digital Research Systems Group; Caldera DSG; Digital Research Systems Group (Caldera); Dell RMK; Caldera Winglue; Caldera WinGlue; Caldera WinBolt; DRDOS (operating system); NetWare DOS; Novell NetWare DOS; Novell NWDOS; Law 774 Limited; Law 774 Ltd.; Trau keinem DOS unter 7; ND7TID.EXE; MEM TUT.EXE; STAC TUT.EXE; TMGR TUT.EXE; NWCH TUT.EXE; DOPT TUT.EXE; SEC TUT.EXE; FLNK TUT.EXE; DR6TID.EXE; TaskMAX; MemoryMAX; DiskMAX; NWDOS.INI; OPENDOS.INI; DRDOS.INI; DOS.INI; OPENDOS; DRDOS (Caldera); DRDOS (Digital Research); DRDOS (Novell); \NWDOS; /NWDOS; /NWDOS/; \NWDOS\; \OPENDOS; /OPENDOS; /OPENDOS/; \OPENDOS\; \DRDOS; /DRDOS; /DRDOS/; \DRDOS\; MULTIMAX.EXE; MultiMAX; DR DOS 6.0 business update; IBMBIO.LDR; BOOT.LST; Caldera DR-DOS Division; Law 774 (company); Digital Research Newbury; Caldera Andover; Digital Research Hungerford; Novell Hungerford; TASKMAX; Novell DR DOS 6.0; Novell NetWare Desktop System DR DOS 6.0; Novell DR DOS; Novell NetWare Desktop System; Novell NetWare Desktop System DR DOS; NetWare Desktop System DR DOS; NetWare Desktop System DR DOS 6.0; Novell DR DOS 6.0 NetWare Desktop System; Novell DR DOS NetWare Desktop System; 2001 Sales EZ-DOS; 2001 Sales EZ-DOS 3.41; 2001 Sales, Inc. EZ-DOS 3.41; 2001 Sales, Inc. EZ-DOS; EZDOS; EZ-DOS 4.1 Deluxe; EZ-DOS 4.1; 2001 Sales EZ-DOS 4.1 Deluxe; 2001 Sales EZ-DOS 4.1; The Advanced Networking DOS That's Easy to Use; DR DOS 3.3x; DR DOS 3.4x
Minimax (sometimes MinMax, MM or saddle point) is a decision rule used in artificial intelligence, decision theory, game theory, statistics, and philosophy for minimizing the possible loss for a worst case (maximum loss) scenario. When dealing with gains, it is referred to as "maximin" – to maximize the minimum gain.
Wikipedia
Minimax
Minimax (sometimes MinMax, MM or saddle point) is a decision rule used in artificial intelligence, decision theory, game theory, statistics, and philosophy for minimizing the possible loss for a worst case (maximum loss) scenario. When dealing with gains, it is referred to as "maximin" – to maximize the minimum gain. Originally formulated for several-player zero-sum game theory, covering both the cases where players take alternate moves and those where they make simultaneous moves, it has also been extended to more complex games and to general decision-making in the presence of uncertainty.
