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Concepts for Game Murus Gallicus Computed with Alpha-Beta playouts

Other concept computations are available: UCT Or Random

Murus Galicus

Boolean
Properties
Discrete, Alternating, TwoPlayer, PlayersWithDirections
Meta
Start
Start, PiecesPlacedOnBoard
Play
Moves, MovesDecision, NoSiteMoves, PassDecision, TwoSitesMoves, StepDecision, StepDecisionToEnemy, HopDecision, HopDecisionMoreThanOne, FromToDecision, MovesNonDecision, MovesEffects, RemoveEffect, SetMove, MoveAgain, FromToEffect, Capture, ReplacementCapture, HopCapture, Conditions, MoveConditions, NoMoves, NoMovesNext, PieceConditions, IsEmpty, IsEnemy, IsFriend, Directions, AbsoluteDirections, AllDirections, AdjacentDirection, RelativeDirections, BackwardsDirection, PieceCount
End
End, NoMovesEnd, NoMovesWin
Behaviour
Implementation
State, StateType, StackState, Then, ForEachPiece
Visual
ComponentStyle, CheckersComponent, StackType
Math
Arithmetic, Comparison, Equal, LesserThan, Logic, Conjunction, Disjunction, Negation, Set, Union, Algorithmics, ConditionalStatement, ControlFlowStatement
Container
Shape, RegularShape, PolygonShape, RectangleShape, Region, PlayableSites, Cell, Tiling, SquareTiling
Component
Piece, PieceDirection

Numerical
Properties
NumPlayers(2)
Start
NumStartComponents(32), NumStartComponentsBoardPerPlayer(16), NumStartComponentsPerPlayer(16), NumStartComponentsBoard(32)
Play
StepDecisionFrequency(7%), StepDecisionToEnemyFrequency(7%), HopDecisionFrequency(93%), HopDecisionMoreThanOneFrequency(21%), HopDecisionFriendToEmptyFrequency(18%), HopDecisionFriendToFriendFrequency(3%), RemoveEffectFrequency(7%), ReplacementCaptureFrequency(7%), NumPlayPhase(1)
End
NoMovesEndFrequency(9%), NoMovesWinFrequency(9%)
Behaviour
PieceNumberAverage(30.23), SkillTraceScore(0), SkillTraceTrials(0), SkillTraceErrorSlope(0), SkillTraceErrorIntercept(0), DurationTurns(67.76), DurationTurnsStdDev(40.49), DurationTurnsNotTimeouts(67.76), DecisionMoves(1), BoardCoverageDefault(0.85), AdvantageP1(0.56), Balance(0.88), Completion(1), Drawishness(0), Timeouts(0), BoardSitesOccupiedAverage(0.35), BranchingFactorAverage(19.77), DecisionFactorAverage(19.77)
Implementation
PlayoutsPerSecond(369.13), MovesPerSecond(23891.54)
Container
NumPlayableSitesOnBoard(56), NumColumns(8), NumRows(7), NumCorners(4), NumDirections(6.46), NumOrthogonalDirections(3.46), NumDiagonalDirections(3), NumAdjacentDirections(6.46), NumOffDiagonalDirections(0), NumOuterSites(26), NumInnerSites(30), NumLayers(1), NumEdges(127), NumCells(56), NumVertices(72), NumPerimeterSites(26), NumTopSites(8), NumBottomSites(8), NumRightSites(7), NumLeftSites(7), NumCentreSites(2), NumConvexCorners(4), NumConcaveCorners(0), NumPhasesBoard(2), NumContainers(1), NumPlayableSites(56)
Component
NumComponentsType(2), NumComponentsTypePerPlayer(1), NumDice(0)

Advanced Murus Galicus

Boolean
Properties
Discrete, Alternating, TwoPlayer, PlayersWithDirections
Meta
Start
Start, PiecesPlacedOnBoard
Play
Moves, MovesDecision, NoSiteMoves, PassDecision, TwoSitesMoves, StepDecision, StepDecisionToEnemy, HopDecision, HopDecisionMoreThanOne, FromToDecision, MovesNonDecision, MovesEffects, RemoveEffect, SetMove, MoveAgain, FromToEffect, Capture, ReplacementCapture, HopCapture, Conditions, MoveConditions, NoMoves, NoMovesNext, PieceConditions, IsEmpty, IsEnemy, IsFriend, Directions, AbsoluteDirections, AllDirections, AdjacentDirection, RelativeDirections, BackwardsDirection, PieceCount
End
End, NoMovesEnd, NoMovesWin, Misere
Behaviour
Implementation
State, StateType, StackState, Then, ForEachPiece
Visual
ComponentStyle, CheckersComponent, StackType
Math
Arithmetic, Comparison, Equal, LesserThan, Logic, Conjunction, Disjunction, Negation, Set, Union, Intersection, Algorithmics, ConditionalStatement, ControlFlowStatement
Container
Shape, RegularShape, PolygonShape, RectangleShape, Region, PlayableSites, Cell, Tiling, SquareTiling
Component
Piece, PieceDirection

Numerical
Properties
NumPlayers(2)
Start
NumStartComponents(32), NumStartComponentsBoardPerPlayer(16), NumStartComponentsPerPlayer(16), NumStartComponentsBoard(32)
Play
StepDecisionFrequency(4%), StepDecisionToEnemyFrequency(4%), HopDecisionFrequency(96%), HopDecisionMoreThanOneFrequency(35%), HopDecisionEnemyToEmptyFrequency(2%), HopDecisionFriendToEmptyFrequency(24%), HopDecisionFriendToFriendFrequency(7%), HopDecisionEnemyToEnemyFrequency(1%), HopDecisionFriendToEnemyFrequency(1%), RemoveEffectFrequency(8%), ReplacementCaptureFrequency(4%), HopCaptureMoreThanOneFrequency(3%), NumPlayPhase(1)
End
NoMovesEndFrequency(23%), NoMovesWinFrequency(23%)
Behaviour
PieceNumberAverage(26.84), SkillTraceScore(0), SkillTraceTrials(0), SkillTraceErrorSlope(0), SkillTraceErrorIntercept(0), DurationTurns(53.62), DurationTurnsStdDev(13.65), DurationTurnsNotTimeouts(53.62), DecisionMoves(1), BoardCoverageDefault(0.75), AdvantageP1(0.53), Balance(0.94), Completion(1), Drawishness(0), Timeouts(0), BoardSitesOccupiedAverage(0.3), BranchingFactorAverage(22.5), DecisionFactorAverage(22.5)
Implementation
PlayoutsPerSecond(343.4), MovesPerSecond(22976.22)
Container
NumPlayableSitesOnBoard(56), NumColumns(8), NumRows(7), NumCorners(4), NumDirections(6.46), NumOrthogonalDirections(3.46), NumDiagonalDirections(3), NumAdjacentDirections(6.46), NumOffDiagonalDirections(0), NumOuterSites(26), NumInnerSites(30), NumLayers(1), NumEdges(127), NumCells(56), NumVertices(72), NumPerimeterSites(26), NumTopSites(8), NumBottomSites(8), NumRightSites(7), NumLeftSites(7), NumCentreSites(2), NumConvexCorners(4), NumConcaveCorners(0), NumPhasesBoard(2), NumContainers(1), NumPlayableSites(56)
Component
NumComponentsType(2), NumComponentsTypePerPlayer(1), NumDice(0)

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lkjh Maastricht University Department of Advanced Computing Sciences (DACS), Paul-Henri Spaaklaan 1, 6229 EN Maastricht, Netherlands Funded by a €2m ERC Consolidator Grant (#771292) from the European Research Council