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Concepts for Game Skak Computed with Random playouts
Other concept computations are available: UCT Or Alpha-Beta
Skak
Boolean
Numerical
Skak (Ludii 1)
Boolean
Properties
Discrete, Alternating, TwoPlayer, PlayersWithDirections
Meta
Start
Start, PiecesPlacedOnBoard
Play
Moves, MovesDecision, SingleSiteMoves, PromotionDecision, TwoSitesMoves, StepDecision, StepDecisionToEmpty, StepDecisionToEnemy, SlideDecision, SlideDecisionToEmpty, LeapDecision, LeapDecisionToEmpty, LeapDecisionToEnemy, MovesNonDecision, MovesEffects, RemoveEffect, SetMove, MoveAgain, SlideEffect, Capture, ReplacementCapture, Conditions, SpaceConditions, Contains, MoveConditions, NoMoves, NoMovesMover, CanMove, CanNotMove, PieceConditions, Threat, IsEmpty, IsEnemy, IsFriend, LineOfSight, CountPiecesComparison, CountPiecesNextComparison, Directions, AbsoluteDirections, AdjacentDirection, OrthogonalDirection, DiagonalDirection, RelativeDirections, ForwardDirection, ForwardRightDirection, BackwardDirection, ForwardLeftDirection
End
End, CaptureEnd, Checkmate, CheckmateWin, EliminatePiecesEnd, EliminatePiecesWin, NoMovesEnd, NoMovesDraw, Draw
Behaviour
Implementation
State, PieceState, SiteState, SetSiteState, Variable, SetPending, CopyContext, Then, ForEachPiece, DoLudeme
Visual
ChessStyle, ComponentStyle, ChessComponent, KingComponent, QueenComponent, KnightComponent, RookComponent, BishopComponent, PawnComponent
Math
Arithmetic, Comparison, Equal, Logic, Conjunction, Negation, Set, Union, Algorithmics, ConditionalStatement, ControlFlowStatement
Container
Shape, SquareShape, RegularShape, PolygonShape, Region, PlayableSites, Cell, Tiling, SquareTiling
Component
Piece, PieceDirection
Numerical
Properties
NumPlayers(2)
Start
NumStartComponents(32), NumStartComponentsBoardPerPlayer(16), NumStartComponentsPerPlayer(16), NumStartComponentsBoard(32)
Play
PromotionDecisionFrequency(1%), StepDecisionFrequency(34%), StepDecisionToEmptyFrequency(31%), StepDecisionToEnemyFrequency(3%), SlideDecisionFrequency(51%), SlideDecisionToEmptyFrequency(46%), SlideDecisionToEnemyFrequency(5%), LeapDecisionFrequency(14%), LeapDecisionToEmptyFrequency(13%), LeapDecisionToEnemyFrequency(1%), RemoveEffectFrequency(9%), SetNextPlayerFrequency(1%), MoveAgainFrequency(1%), ReplacementCaptureFrequency(9%), NumPlayPhase(1)
End
CheckmateFrequency(14%), CheckmateWinFrequency(14%), EliminatePiecesEndFrequency(85%), EliminatePiecesWinFrequency(85%), DrawFrequency(1%)
Behaviour
PieceNumberAverage(0), SkillTraceScore(0), SkillTraceTrials(0), SkillTraceErrorSlope(0), SkillTraceErrorIntercept(0), DurationTurns(303.22), DurationTurnsStdDev(103.68), DurationTurnsNotTimeouts(303.22), DecisionMoves(1), BoardCoverageDefault(1), AdvantageP1(0.57), Balance(0.85), Completion(0.99), Drawishness(0.01), Timeouts(0), BoardSitesOccupiedAverage(0), BranchingFactorAverage(0), DecisionFactorAverage(0)
Implementation
PlayoutsPerSecond(115.19), MovesPerSecond(40040.51)
Container
NumPlayableSitesOnBoard(64), NumColumns(8), NumRows(8), NumCorners(4), NumDirections(6.56), NumOrthogonalDirections(3.5), NumDiagonalDirections(3.06), NumAdjacentDirections(6.56), NumOffDiagonalDirections(0), NumOuterSites(28), NumInnerSites(36), NumLayers(1), NumEdges(144), NumCells(64), NumVertices(81), NumPerimeterSites(28), NumTopSites(8), NumBottomSites(8), NumRightSites(8), NumLeftSites(8), NumCentreSites(4), NumConvexCorners(4), NumConcaveCorners(0), NumPhasesBoard(2), NumContainers(1), NumPlayableSites(64)
Component
NumComponentsType(12), NumComponentsTypePerPlayer(6), NumDice(0)
Skak (Ludii 2)
Boolean
Properties
Discrete, Alternating, TwoPlayer, PlayersWithDirections
Meta
Start
Start, PiecesPlacedOnBoard
Play
Moves, MovesDecision, SingleSiteMoves, PromotionDecision, TwoSitesMoves, StepDecision, StepDecisionToEmpty, StepDecisionToEnemy, SlideDecision, SlideDecisionToEmpty, LeapDecision, LeapDecisionToEmpty, LeapDecisionToEnemy, MovesNonDecision, MovesEffects, RemoveEffect, SetMove, MoveAgain, SlideEffect, Capture, ReplacementCapture, Conditions, SpaceConditions, Contains, MoveConditions, NoMoves, NoMovesMover, CanMove, CanNotMove, PieceConditions, Threat, IsEmpty, IsEnemy, IsFriend, LineOfSight, CountPiecesComparison, CountPiecesNextComparison, Directions, AbsoluteDirections, AdjacentDirection, OrthogonalDirection, DiagonalDirection, RelativeDirections, ForwardDirection, ForwardRightDirection, BackwardDirection, ForwardLeftDirection
End
End, CaptureEnd, Checkmate, CheckmateWin, EliminatePiecesEnd, EliminatePiecesWin, NoMovesEnd, NoMovesDraw, Draw
Behaviour
Implementation
State, PieceState, SiteState, SetSiteState, Variable, SetPending, CopyContext, Then, ForEachPiece, DoLudeme
Visual
ChessStyle, ComponentStyle, ChessComponent, KingComponent, QueenComponent, KnightComponent, RookComponent, BishopComponent, PawnComponent
Math
Arithmetic, Comparison, Equal, Logic, Conjunction, Negation, Set, Union, Algorithmics, ConditionalStatement, ControlFlowStatement
Container
Shape, SquareShape, RegularShape, PolygonShape, Region, PlayableSites, Cell, Tiling, SquareTiling
Component
Piece, PieceDirection
Numerical
Properties
NumPlayers(2)
Start
NumStartComponents(32), NumStartComponentsBoardPerPlayer(16), NumStartComponentsPerPlayer(16), NumStartComponentsBoard(32)
Play
PromotionDecisionFrequency(1%), StepDecisionFrequency(36%), StepDecisionToEmptyFrequency(32%), StepDecisionToEnemyFrequency(3%), SlideDecisionFrequency(49%), SlideDecisionToEmptyFrequency(44%), SlideDecisionToEnemyFrequency(4%), LeapDecisionFrequency(15%), LeapDecisionToEmptyFrequency(14%), LeapDecisionToEnemyFrequency(1%), RemoveEffectFrequency(9%), SetNextPlayerFrequency(1%), MoveAgainFrequency(1%), ReplacementCaptureFrequency(9%), NumPlayPhase(1)
End
CheckmateFrequency(17%), CheckmateWinFrequency(17%), EliminatePiecesEndFrequency(82%), EliminatePiecesWinFrequency(82%), DrawFrequency(1%)
Behaviour
PieceNumberAverage(0), SkillTraceScore(0), SkillTraceTrials(0), SkillTraceErrorSlope(0), SkillTraceErrorIntercept(0), DurationTurns(318.54), DurationTurnsStdDev(153.31), DurationTurnsNotTimeouts(318.54), DecisionMoves(1), BoardCoverageDefault(0.99), AdvantageP1(0.39), Balance(0.77), Completion(0.99), Drawishness(0.01), Timeouts(0), BoardSitesOccupiedAverage(0), BranchingFactorAverage(0), DecisionFactorAverage(0)
Implementation
PlayoutsPerSecond(116.67), MovesPerSecond(40290.72)
Container
NumPlayableSitesOnBoard(64), NumColumns(8), NumRows(8), NumCorners(4), NumDirections(6.56), NumOrthogonalDirections(3.5), NumDiagonalDirections(3.06), NumAdjacentDirections(6.56), NumOffDiagonalDirections(0), NumOuterSites(28), NumInnerSites(36), NumLayers(1), NumEdges(144), NumCells(64), NumVertices(81), NumPerimeterSites(28), NumTopSites(8), NumBottomSites(8), NumRightSites(8), NumLeftSites(8), NumCentreSites(4), NumConvexCorners(4), NumConcaveCorners(0), NumPhasesBoard(2), NumContainers(1), NumPlayableSites(64)
Component
NumComponentsType(12), NumComponentsTypePerPlayer(6), NumDice(0)
Skak (Ludii 3)
Boolean
Properties
Discrete, Alternating, TwoPlayer, PlayersWithDirections
Meta
Start
Start, PiecesPlacedOnBoard
Play
Moves, MovesDecision, SingleSiteMoves, PromotionDecision, TwoSitesMoves, StepDecision, StepDecisionToEmpty, StepDecisionToEnemy, SlideDecision, SlideDecisionToEmpty, LeapDecision, LeapDecisionToEmpty, LeapDecisionToEnemy, MovesNonDecision, MovesEffects, RemoveEffect, SetMove, MoveAgain, SlideEffect, Capture, ReplacementCapture, Conditions, SpaceConditions, Contains, MoveConditions, NoMoves, NoMovesMover, CanMove, CanNotMove, PieceConditions, Threat, IsEmpty, IsEnemy, IsFriend, LineOfSight, CountPiecesComparison, CountPiecesNextComparison, Directions, AbsoluteDirections, AdjacentDirection, OrthogonalDirection, DiagonalDirection, RelativeDirections, ForwardDirection, ForwardRightDirection, BackwardDirection, ForwardLeftDirection
End
End, CaptureEnd, Checkmate, CheckmateWin, EliminatePiecesEnd, EliminatePiecesWin, NoMovesEnd, NoMovesDraw, Draw
Behaviour
Implementation
State, StateType, StackState, PieceState, SiteState, SetSiteState, Variable, SetPending, CopyContext, Then, ForEachPiece, DoLudeme
Visual
ChessStyle, ComponentStyle, ChessComponent, KingComponent, QueenComponent, KnightComponent, RookComponent, BishopComponent, PawnComponent, StackType
Math
Arithmetic, Comparison, Equal, Logic, Conjunction, Negation, Set, Union, Algorithmics, ConditionalStatement, ControlFlowStatement
Container
Shape, SquareShape, RegularShape, PolygonShape, Region, PlayableSites, Cell, Tiling, SquareTiling
Component
Piece, PieceDirection
Numerical
Properties
NumPlayers(2)
Start
NumStartComponents(32), NumStartComponentsBoardPerPlayer(16), NumStartComponentsPerPlayer(16), NumStartComponentsBoard(32)
Play
PromotionDecisionFrequency(1%), StepDecisionFrequency(33%), StepDecisionToEmptyFrequency(30%), StepDecisionToEnemyFrequency(3%), SlideDecisionFrequency(51%), SlideDecisionToEmptyFrequency(46%), SlideDecisionToEnemyFrequency(5%), LeapDecisionFrequency(15%), LeapDecisionToEmptyFrequency(13%), LeapDecisionToEnemyFrequency(2%), RemoveEffectFrequency(10%), SetNextPlayerFrequency(1%), MoveAgainFrequency(1%), ReplacementCaptureFrequency(10%), NumPlayPhase(1)
End
CheckmateFrequency(13%), CheckmateWinFrequency(13%), EliminatePiecesEndFrequency(86%), EliminatePiecesWinFrequency(86%), DrawFrequency(1%)
Behaviour
PieceNumberAverage(0), SkillTraceScore(0), SkillTraceTrials(0), SkillTraceErrorSlope(0), SkillTraceErrorIntercept(0), DurationTurns(289.52), DurationTurnsStdDev(125.52), DurationTurnsNotTimeouts(289.52), DecisionMoves(1), BoardCoverageDefault(0.98), AdvantageP1(0.47), Balance(0.95), Completion(0.99), Drawishness(0.01), Timeouts(0), BoardSitesOccupiedAverage(0), BranchingFactorAverage(0), DecisionFactorAverage(0)
Implementation
PlayoutsPerSecond(77.83), MovesPerSecond(25554.17)
Container
NumPlayableSitesOnBoard(64), NumColumns(8), NumRows(8), NumCorners(4), NumDirections(6.56), NumOrthogonalDirections(3.5), NumDiagonalDirections(3.06), NumAdjacentDirections(6.56), NumOffDiagonalDirections(0), NumOuterSites(28), NumInnerSites(36), NumLayers(1), NumEdges(144), NumCells(64), NumVertices(81), NumPerimeterSites(28), NumTopSites(8), NumBottomSites(8), NumRightSites(8), NumLeftSites(8), NumCentreSites(4), NumConvexCorners(4), NumConcaveCorners(0), NumPhasesBoard(2), NumContainers(1), NumPlayableSites(64)
Component
NumComponentsType(12), NumComponentsTypePerPlayer(6), NumDice(0)
Skak (Ludii 4)
Boolean
Properties
Discrete, Alternating, TwoPlayer, PlayersWithDirections
Meta
Start
Start, PiecesPlacedOnBoard
Play
Moves, MovesDecision, SingleSiteMoves, PromotionDecision, TwoSitesMoves, StepDecision, StepDecisionToEmpty, StepDecisionToEnemy, SlideDecision, SlideDecisionToEmpty, LeapDecision, LeapDecisionToEmpty, LeapDecisionToEnemy, MovesNonDecision, MovesEffects, RemoveEffect, SetMove, MoveAgain, SlideEffect, Capture, ReplacementCapture, Conditions, SpaceConditions, Contains, MoveConditions, NoMoves, NoMovesMover, CanMove, CanNotMove, PieceConditions, Threat, IsEmpty, IsEnemy, IsFriend, LineOfSight, CountPiecesComparison, CountPiecesNextComparison, Directions, AbsoluteDirections, AdjacentDirection, OrthogonalDirection, DiagonalDirection, RelativeDirections, ForwardDirection, ForwardRightDirection, BackwardDirection, ForwardLeftDirection
End
End, CaptureEnd, Checkmate, CheckmateWin, EliminatePiecesEnd, EliminatePiecesWin, NoMovesEnd, NoMovesDraw, Draw
Behaviour
Implementation
State, PieceState, SiteState, SetSiteState, Variable, SetPending, CopyContext, Then, ForEachPiece, DoLudeme
Visual
ChessStyle, ComponentStyle, ChessComponent, KingComponent, QueenComponent, KnightComponent, RookComponent, BishopComponent, PawnComponent
Math
Arithmetic, Comparison, Equal, Logic, Conjunction, Negation, Set, Union, Algorithmics, ConditionalStatement, ControlFlowStatement
Container
Shape, SquareShape, RegularShape, PolygonShape, Region, PlayableSites, Cell, Tiling, SquareTiling
Component
Piece, PieceDirection
Numerical
Properties
NumPlayers(2)
Start
NumStartComponents(32), NumStartComponentsBoardPerPlayer(16), NumStartComponentsPerPlayer(16), NumStartComponentsBoard(32)
Play
PromotionDecisionFrequency(1%), StepDecisionFrequency(35%), StepDecisionToEmptyFrequency(31%), StepDecisionToEnemyFrequency(3%), SlideDecisionFrequency(49%), SlideDecisionToEmptyFrequency(45%), SlideDecisionToEnemyFrequency(4%), LeapDecisionFrequency(15%), LeapDecisionToEmptyFrequency(14%), LeapDecisionToEnemyFrequency(2%), RemoveEffectFrequency(9%), SetNextPlayerFrequency(1%), MoveAgainFrequency(1%), ReplacementCaptureFrequency(9%), NumPlayPhase(1)
End
CheckmateFrequency(19%), CheckmateWinFrequency(19%), EliminatePiecesEndFrequency(79%), EliminatePiecesWinFrequency(79%), DrawFrequency(2%)
Behaviour
PieceNumberAverage(0), SkillTraceScore(0), SkillTraceTrials(0), SkillTraceErrorSlope(0), SkillTraceErrorIntercept(0), DurationTurns(297.56), DurationTurnsStdDev(163.2), DurationTurnsNotTimeouts(297.56), DecisionMoves(1), BoardCoverageDefault(0.99), AdvantageP1(0.51), Balance(0.98), Completion(0.98), Drawishness(0.02), Timeouts(0), BoardSitesOccupiedAverage(0), BranchingFactorAverage(0), DecisionFactorAverage(0)
Implementation
PlayoutsPerSecond(121.88), MovesPerSecond(42207)
Container
NumPlayableSitesOnBoard(64), NumColumns(8), NumRows(8), NumCorners(4), NumDirections(6.56), NumOrthogonalDirections(3.5), NumDiagonalDirections(3.06), NumAdjacentDirections(6.56), NumOffDiagonalDirections(0), NumOuterSites(28), NumInnerSites(36), NumLayers(1), NumEdges(144), NumCells(64), NumVertices(81), NumPerimeterSites(28), NumTopSites(8), NumBottomSites(8), NumRightSites(8), NumLeftSites(8), NumCentreSites(4), NumConvexCorners(4), NumConcaveCorners(0), NumPhasesBoard(2), NumContainers(1), NumPlayableSites(64)
Component
NumComponentsType(12), NumComponentsTypePerPlayer(6), NumDice(0)
Skak (Ludii 5)
Boolean
Properties
Discrete, Alternating, TwoPlayer, PlayersWithDirections
Meta
Start
Start, PiecesPlacedOnBoard
Play
Moves, MovesDecision, SingleSiteMoves, PromotionDecision, TwoSitesMoves, StepDecision, StepDecisionToEmpty, StepDecisionToEnemy, SlideDecision, SlideDecisionToEmpty, LeapDecision, LeapDecisionToEmpty, LeapDecisionToEnemy, MovesNonDecision, MovesEffects, RemoveEffect, SetMove, MoveAgain, SlideEffect, Capture, ReplacementCapture, Conditions, SpaceConditions, Contains, MoveConditions, NoMoves, NoMovesMover, CanMove, CanNotMove, PieceConditions, Threat, IsEmpty, IsEnemy, IsFriend, LineOfSight, CountPiecesComparison, CountPiecesNextComparison, Directions, AbsoluteDirections, AdjacentDirection, OrthogonalDirection, DiagonalDirection, RelativeDirections, ForwardDirection, ForwardRightDirection, BackwardDirection, ForwardLeftDirection
End
End, CaptureEnd, Checkmate, CheckmateWin, EliminatePiecesEnd, EliminatePiecesWin, NoMovesEnd, NoMovesDraw, Draw
Behaviour
Implementation
State, PieceState, SiteState, SetSiteState, Variable, SetPending, CopyContext, Then, ForEachPiece, DoLudeme
Visual
ChessStyle, ComponentStyle, ChessComponent, KingComponent, QueenComponent, KnightComponent, RookComponent, BishopComponent, PawnComponent
Math
Arithmetic, Comparison, Equal, Logic, Conjunction, Negation, Set, Union, Algorithmics, ConditionalStatement, ControlFlowStatement
Container
Shape, SquareShape, RegularShape, PolygonShape, Region, PlayableSites, Cell, Tiling, SquareTiling
Component
Piece, PieceDirection
Numerical
Properties
NumPlayers(2)
Start
NumStartComponents(32), NumStartComponentsBoardPerPlayer(16), NumStartComponentsPerPlayer(16), NumStartComponentsBoard(32)
Play
PromotionDecisionFrequency(1%), StepDecisionFrequency(35%), StepDecisionToEmptyFrequency(32%), StepDecisionToEnemyFrequency(4%), SlideDecisionFrequency(49%), SlideDecisionToEmptyFrequency(45%), SlideDecisionToEnemyFrequency(4%), LeapDecisionFrequency(15%), LeapDecisionToEmptyFrequency(13%), LeapDecisionToEnemyFrequency(1%), RemoveEffectFrequency(9%), SetNextPlayerFrequency(1%), MoveAgainFrequency(1%), ReplacementCaptureFrequency(9%), NumPlayPhase(1)
End
CheckmateFrequency(20%), CheckmateWinFrequency(20%), EliminatePiecesEndFrequency(79%), EliminatePiecesWinFrequency(79%), DrawFrequency(1%)
Behaviour
PieceNumberAverage(0), SkillTraceScore(0), SkillTraceTrials(0), SkillTraceErrorSlope(0), SkillTraceErrorIntercept(0), DurationTurns(298.69), DurationTurnsStdDev(136.78), DurationTurnsNotTimeouts(298.69), DecisionMoves(1), BoardCoverageDefault(0.99), AdvantageP1(0.41), Balance(0.83), Completion(0.99), Drawishness(0.01), Timeouts(0), BoardSitesOccupiedAverage(0), BranchingFactorAverage(0), DecisionFactorAverage(0)
Implementation
PlayoutsPerSecond(86.24), MovesPerSecond(30205.49)
Container
NumPlayableSitesOnBoard(64), NumColumns(8), NumRows(8), NumCorners(4), NumDirections(6.56), NumOrthogonalDirections(3.5), NumDiagonalDirections(3.06), NumAdjacentDirections(6.56), NumOffDiagonalDirections(0), NumOuterSites(28), NumInnerSites(36), NumLayers(1), NumEdges(144), NumCells(64), NumVertices(81), NumPerimeterSites(28), NumTopSites(8), NumBottomSites(8), NumRightSites(8), NumLeftSites(8), NumCentreSites(4), NumConvexCorners(4), NumConcaveCorners(0), NumPhasesBoard(2), NumContainers(1), NumPlayableSites(64)
Component
NumComponentsType(12), NumComponentsTypePerPlayer(6), NumDice(0)
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