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Concepts for Game Five Men's Morris

Cyningstan
Properties
Properties, Format, Time, Discrete, Turns, Alternating, Players, NumPlayers(2), TwoPlayer
Equipment
Equipment, Container, Board, Shape, SquareShape, NumRows(5), NumCorners(4), NumDirections(2.5), NumOrthogonalDirections(2.5), NumDiagonalDirections(0), NumAdjacentDirections(2.5), NumOffDiagonalDirections(0), NumOuterSites(8), NumInnerSites(8), NumLayers(1), Tiling, ConcentricTiling, NumEdges(20), NumCells(0), NumVertices(16), NumPerimeterSites(8), NumTopSites(3), NumBottomSites(3), NumRightSites(3), NumLeftSites(3), NumCentreSites(4), NumConvexCorners(4), NumConcaveCorners(0), NumPhasesBoard(2), PlayableSites, Vertex, Cell, NumPlayableSitesOnBoard(16), NumColumns(5), Hand, NumContainers(3), NumPlayableSites(18), Component, Piece, NumComponentsType(2), NumComponentsTypePerPlayer(1), NumDice(0)
Start
Start, PiecesPlacedOutsideBoard
Play
Rules, Play, Moves, MovesDecision, SingleSiteMoves, RemoveDecision, RemoveDecisionFrequency(10%), TwoSitesMoves, StepDecision, StepDecisionFrequency(57%), StepDecisionToEmpty, StepDecisionToEmptyFrequency(57%), FromToDecision, FromToDecisionBetweenContainersFrequency(33%), FromToDecisionEmptyFrequency(33%), MovesNonDecision, MovesEffects, SetMove, SetNextPlayerFrequency(2%), MoveAgain, MoveAgainFrequency(2%), Conditions, SpaceConditions, Line, MoveConditions, CanMove, PieceConditions, IsEmpty, CountPiecesComparison, CountPiecesNextComparison, Directions, AbsoluteDirections, AdjacentDirection, OrthogonalDirection, Phase, NumPlayPhase(2), PieceCount, EliminatePiecesEndFrequency(100%), EliminatePiecesWinFrequency(100%)
End
End, CaptureEnd, EliminatePiecesEnd, EliminatePiecesWin
Behaviour
PositionalRepetition(0.55), SituationalRepetition(0.22), MoveDistanceAverage(1), MoveDistanceMaxIncrease(0), MoveDistanceMaxDecrease(0), MoveDistanceMedian(1), MoveDistanceMaximum(1), MoveDistanceMinimum(0), MoveDistanceVariance(0), MoveDistanceChangeAverage(0), MoveDistanceChangeSign(0), MoveDistanceChangeLineBestFit(0), MoveDistanceChangeNumTimes(0), PieceNumberAverage(7.56), PieceNumberMaxIncrease(1), PieceNumberMaxDecrease(-1), PieceNumberMedian(8.62), PieceNumberMaximum(9.73), PieceNumberMinimum(0), PieceNumberVariance(6.96), PieceNumberChangeAverage(0.23), PieceNumberChangeSign(0.23), PieceNumberChangeLineBestFit(0.18), PieceNumberChangeNumTimes(0), ScoreDifferenceAverage(0), ScoreDifferenceMaxIncrease(0), ScoreDifferenceMaxDecrease(0), ScoreDifferenceMedian(0), ScoreDifferenceMaximum(0), ScoreDifferenceMinimum(0), ScoreDifferenceVariance(0), ScoreDifferenceChangeAverage(0), ScoreDifferenceChangeSign(0), ScoreDifferenceChangeLineBestFit(0), ScoreDifferenceChangeNumTimes(0), DurationActions(39.82), DurationMoves(36.7), DurationTurns(33.58), DecisionMoves(0.99), GameTreeComplexity(31.26), StateTreeComplexity(27.72), BoardCoverageDefault(0.93), BoardCoverageFull(0.41), BoardCoverageUsed(0.93), AdvantageP1(0.52), Balance(0.96), Completion(1), Drawishness(0), Timeouts(0), Narrowness(0.04), Variance(0.03), DecisivenessMoves(0.87), DecisivenessThreshold(0.98), LeadChange(0.16), Stability(0.64), DramaAverage(1.1), DramaMaxIncrease(1.59), DramaMaxDecrease(-1.08), DramaMedian(1.05), DramaMaximum(1.96), DramaMinimum(0), DramaVariance(0.52), DramaChangeAverage(0.06), DramaChangeSign(0.07), DramaChangeLineBestFit(0.05), DramaChangeNumTimes(0), MoveEvaluationAverage(0.14), MoveEvaluationMaxIncrease(1.98), MoveEvaluationMaxDecrease(-1.98), MoveEvaluationMedian(0.46), MoveEvaluationMaximum(1), MoveEvaluationMinimum(-0.99), MoveEvaluationVariance(0.64), MoveEvaluationChangeAverage(0.01), MoveEvaluationChangeSign(0.08), MoveEvaluationChangeLineBestFit(0), MoveEvaluationChangeNumTimes(0), StateEvaluationDifferenceAverage(1.47), StateEvaluationDifferenceMaxIncrease(1.62), StateEvaluationDifferenceMaxDecrease(-1.24), StateEvaluationDifferenceMedian(1.7), StateEvaluationDifferenceMaximum(2), StateEvaluationDifferenceMinimum(0), StateEvaluationDifferenceVariance(0.33), StateEvaluationDifferenceChangeAverage(0.06), StateEvaluationDifferenceChangeSign(0.05), StateEvaluationDifferenceChangeLineBestFit(0.03), StateEvaluationDifferenceChangeNumTimes(0), BoardSitesOccupiedAverage(0.47), BoardSitesOccupiedMaxIncrease(0.06), BoardSitesOccupiedMaxDecrease(-0.06), BoardSitesOccupiedMedian(0.54), BoardSitesOccupiedMaximum(0.61), BoardSitesOccupiedMinimum(0), BoardSitesOccupiedVariance(0.03), BoardSitesOccupiedChangeAverage(0.01), BoardSitesOccupiedChangeSign(0.23), BoardSitesOccupiedChangeLineBestFit(0.01), BoardSitesOccupiedChangeNumTimes(0), BranchingFactorAverage(7.1), BranchingFactorChangeMaxIncrease(4.82), BranchingFactorChangeMaxDecrease(-5.61), BranchingFactorMedian(6.35), BranchingFactorMaximum(16), BranchingFactorMinimum(0), BranchingFactorVariance(13.69), BranchingFactorChangeAverage(-0.44), BranchingFactorChangeSign(-0.3), BranchingFactorChangeLineBestFit(-0.33), BranchingFactorChangeNumTimesn(0), DecisionFactorAverage(7.19), DecisionFactorMaxIncrease(4.71), DecisionFactorMaxDecrease(-5.19), DecisionFactorMedian(6.39), DecisionFactorMaximum(16), DecisionFactorMinimum(0), DecisionFactorVariance(13.3), DecisionFactorChangeAverage(-0.45), DecisionFactorChangeSign(-0.31), DecisionFactorChangeLineBestFit(-0.34), DecisionFactorChangeNumTimes(0)
Implementation
Implementation, Efficiency, Then, ForEachPiece, PlayoutsPerSecond(2518.66), MovesPerSecond(456948.48)
Visual
Visual, Style, BoardStyle, GraphStyle, ComponentStyle, MarkerComponent
Math
Math, Arithmetic, Comparison, Equal, LesserThanOrEqual, Logic, Negation, Algorithmics, ConditionalStatement, ControlFlowStatement

Historical Information

Murray
Properties
Properties, Format, Time, Discrete, Turns, Alternating, Players, NumPlayers(2), TwoPlayer
Equipment
Equipment, Container, Board, Shape, SquareShape, NumRows(5), NumCorners(4), NumDirections(2.5), NumOrthogonalDirections(2.5), NumDiagonalDirections(0), NumAdjacentDirections(2.5), NumOffDiagonalDirections(0), NumOuterSites(8), NumInnerSites(8), NumLayers(1), Tiling, ConcentricTiling, NumEdges(20), NumCells(0), NumVertices(16), NumPerimeterSites(8), NumTopSites(3), NumBottomSites(3), NumRightSites(3), NumLeftSites(3), NumCentreSites(4), NumConvexCorners(4), NumConcaveCorners(0), NumPhasesBoard(2), PlayableSites, Vertex, Cell, NumPlayableSitesOnBoard(16), NumColumns(5), Hand, NumContainers(3), NumPlayableSites(18), Component, Piece, NumComponentsType(2), NumComponentsTypePerPlayer(1), NumDice(0)
Start
Start, PiecesPlacedOutsideBoard
Play
Rules, Play, Moves, MovesDecision, SingleSiteMoves, RemoveDecision, RemoveDecisionFrequency(10%), TwoSitesMoves, StepDecision, StepDecisionFrequency(59%), StepDecisionToEmpty, StepDecisionToEmptyFrequency(59%), FromToDecision, FromToDecisionBetweenContainersFrequency(31%), FromToDecisionEmptyFrequency(31%), MovesNonDecision, MovesEffects, SetMove, SetNextPlayerFrequency(2%), MoveAgain, MoveAgainFrequency(2%), Conditions, SpaceConditions, Line, PieceConditions, IsEmpty, CountPiecesComparison, CountPiecesNextComparison, Directions, AbsoluteDirections, AdjacentDirection, OrthogonalDirection, Phase, NumPlayPhase(2), PieceCount, EliminatePiecesEndFrequency(100%), EliminatePiecesWinFrequency(100%)
End
End, CaptureEnd, EliminatePiecesEnd, EliminatePiecesWin
Behaviour
PositionalRepetition(0.61), SituationalRepetition(0.23), MoveDistanceAverage(1), MoveDistanceMaxIncrease(0), MoveDistanceMaxDecrease(0), MoveDistanceMedian(1), MoveDistanceMaximum(1), MoveDistanceMinimum(0), MoveDistanceVariance(0), MoveDistanceChangeAverage(0), MoveDistanceChangeSign(0), MoveDistanceChangeLineBestFit(0), MoveDistanceChangeNumTimes(0), PieceNumberAverage(7.72), PieceNumberMaxIncrease(1), PieceNumberMaxDecrease(-1), PieceNumberMedian(8.7), PieceNumberMaximum(9.8), PieceNumberMinimum(0), PieceNumberVariance(6.72), PieceNumberChangeAverage(0.21), PieceNumberChangeSign(0.21), PieceNumberChangeLineBestFit(0.17), PieceNumberChangeNumTimes(0), ScoreDifferenceAverage(0), ScoreDifferenceMaxIncrease(0), ScoreDifferenceMaxDecrease(0), ScoreDifferenceMedian(0), ScoreDifferenceMaximum(0), ScoreDifferenceMinimum(0), ScoreDifferenceVariance(0), ScoreDifferenceChangeAverage(0), ScoreDifferenceChangeSign(0), ScoreDifferenceChangeLineBestFit(0), ScoreDifferenceChangeNumTimes(0), DurationActions(47.92), DurationMoves(44.81), DurationTurns(41.7), DecisionMoves(0.99), GameTreeComplexity(37.23), StateTreeComplexity(27.72), BoardCoverageDefault(0.94), BoardCoverageFull(0.42), BoardCoverageUsed(0.94), AdvantageP1(0.44), Balance(0.88), Completion(1), Drawishness(0), Timeouts(0), Narrowness(0.03), Variance(0.05), DecisivenessMoves(0.9), DecisivenessThreshold(0.98), LeadChange(0.2), Stability(0.56), DramaAverage(1.07), DramaMaxIncrease(1.33), DramaMaxDecrease(-1.03), DramaMedian(1.05), DramaMaximum(1.96), DramaMinimum(0), DramaVariance(0.48), DramaChangeAverage(0.05), DramaChangeSign(0.16), DramaChangeLineBestFit(0.05), DramaChangeNumTimes(0), MoveEvaluationAverage(0.03), MoveEvaluationMaxIncrease(1.98), MoveEvaluationMaxDecrease(-1.98), MoveEvaluationMedian(0.18), MoveEvaluationMaximum(1), MoveEvaluationMinimum(-0.99), MoveEvaluationVariance(0.6), MoveEvaluationChangeAverage(0.04), MoveEvaluationChangeSign(0.08), MoveEvaluationChangeLineBestFit(0.01), MoveEvaluationChangeNumTimes(0), StateEvaluationDifferenceAverage(1.41), StateEvaluationDifferenceMaxIncrease(1.29), StateEvaluationDifferenceMaxDecrease(-1.07), StateEvaluationDifferenceMedian(1.58), StateEvaluationDifferenceMaximum(2), StateEvaluationDifferenceMinimum(0), StateEvaluationDifferenceVariance(0.32), StateEvaluationDifferenceChangeAverage(0.04), StateEvaluationDifferenceChangeSign(0.17), StateEvaluationDifferenceChangeLineBestFit(0.03), StateEvaluationDifferenceChangeNumTimes(0), BoardSitesOccupiedAverage(0.48), BoardSitesOccupiedMaxIncrease(0.06), BoardSitesOccupiedMaxDecrease(-0.06), BoardSitesOccupiedMedian(0.54), BoardSitesOccupiedMaximum(0.61), BoardSitesOccupiedMinimum(0), BoardSitesOccupiedVariance(0.03), BoardSitesOccupiedChangeAverage(0.01), BoardSitesOccupiedChangeSign(0.21), BoardSitesOccupiedChangeLineBestFit(0.01), BoardSitesOccupiedChangeNumTimes(0), BranchingFactorAverage(7.07), BranchingFactorChangeMaxIncrease(4.65), BranchingFactorChangeMaxDecrease(-5.48), BranchingFactorMedian(6.31), BranchingFactorMaximum(16), BranchingFactorMinimum(0), BranchingFactorVariance(12.64), BranchingFactorChangeAverage(-0.42), BranchingFactorChangeSign(-0.29), BranchingFactorChangeLineBestFit(-0.3), BranchingFactorChangeNumTimesn(0), DecisionFactorAverage(7.11), DecisionFactorMaxIncrease(4.63), DecisionFactorMaxDecrease(-5.27), DecisionFactorMedian(6.32), DecisionFactorMaximum(16), DecisionFactorMinimum(0), DecisionFactorVariance(12.46), DecisionFactorChangeAverage(-0.42), DecisionFactorChangeSign(-0.3), DecisionFactorChangeLineBestFit(-0.3), DecisionFactorChangeNumTimes(0)
Implementation
Implementation, Efficiency, Then, ForEachPiece, PlayoutsPerSecond(2353.85), MovesPerSecond(429277.09)
Visual
Visual, Style, BoardStyle, GraphStyle, ComponentStyle, MarkerComponent
Math
Math, Arithmetic, Comparison, Equal, LesserThanOrEqual, Algorithmics, ConditionalStatement, ControlFlowStatement

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     cameron.browne@maastrichtuniversity.nl

lkjh Maastricht University Data Science and Knowledge Engineering (DKE), Paul-Henri Spaaklaan 1, 6229 EN Maastricht, Netherlands Funded by a €2m ERC Consolidator Grant (#771292) from the European Research Council