为什么我的 Minimax 不能正确展开和移动？

Question

我正在 Python 2.7.11 的吃豆人基本游戏中实现极小化。 Pacman 是最大化代理，一个或多个幽灵（取决于测试布局）is/are 是最小化代理。

我必须实现 minimax 以便可能多个最小化代理，这样它就可以创建一棵树n 层（深度）。例如，第 1 层是每个幽灵轮流将其可能移动的最终状态效用最小化，以及吃豆人轮流最大化幽灵已经最小化的东西。从图形上看，第 1 层看起来像这样：

如果我们将以下任意实用程序分配给绿色终端状态（从左到右）：

-10, 5, 8, 4, -4, 20, -7, 17

Pacman 应该 return -4 然后朝那个方向移动，根据那个决定创建一个全新的极小极大树。首先，我的实现需要一个变量和函数列表：

# Stores everything about the current state of the game
gameState

# A globally defined depth that varies depending on the test cases.
#     It could be as little as 1 or arbitrarily large
self.depth

# A locally defined depth that keeps track of how many plies deep I've gone in the tree
self.myDepth

# A function that assigns a numeric value as a utility for the current state
#     How this is calculated is moot
self.evaluationFunction(gameState)

# Returns a list of legal actions for an agent
#     agentIndex = 0 means Pacman, ghosts are >= 1
gameState.getLegalActions(agentIndex)

# Returns the successor game state after an agent takes an action
gameState.generateSuccessor(agentIndex, action)

# Returns the total number of agents in the game
gameState.getNumAgents()

# Returns whether or not the game state is a winning (terminal) state
gameState.isWin()

# Returns whether or not the game state is a losing (terminal) state
gameState.isLose()

这是我的实现：

""" 
getAction takes a gameState and returns the optimal move for pacman,
assuming that the ghosts are optimal at minimizing his possibilities
"""
def getAction(self, gameState):
    self.myDepth = 0

    def miniMax(gameState):
        if gameState.isWin() or gameState.isLose() or self.myDepth == self.depth:
            return self.evaluationFunction(gameState)

        numAgents = gameState.getNumAgents()
        for i in range(0, numAgents, 1):
            legalMoves = gameState.getLegalActions(i)
            successors = [gameState.generateSuccessor(j, legalMoves[j]) for j, move 
                                                           in enumerate(legalMoves)]
            for successor in successors:
                if i == 0:
                    return maxValue(successor, i)
                else:
                    return minValue(successor, i)

    def minValue(gameState, agentIndex):
        minUtility = float('inf')
        legalMoves = gameState.getLegalActions(agentIndex)
        succesors = [gameState.generateSuccessor(i, legalMoves[i]) for i, move 
                                                      in enumerate(legalMoves)]
        for successor in successors:
            minUtility = min(minUtility, miniMax(successor))

        return minUtility

    def maxValue(gameState, agentIndex)
        self.myDepth += 1
        maxUtility = float('-inf')
        legalMoves = gameState.getLegalActions(agentIndex)
        successors = [gameState.generateSuccessor(i, legalMoves[i]) for i, move
                                                       in enumerate(legalMoves)]
        for successor in successors:
            maxUtility = max(maxUtility, miniMax(successor))

        return maxUtility

    return miniMax(gameState)

有人知道为什么我的代码会这样吗？我希望有一些 Minimax/Artificial 情报专家可以找出我的问题。提前致谢。

更新： 通过将我的 self.myDepth 值实例化为 0 而不是 1，我已经解决了异常抛出问题。但是，我的实现的整体错误仍然存在。

Answer 1

我终于找到了解决问题的方法。主要问题是我没有正确引用 depth 来跟踪层数。与其在 maxValue 方法中递增深度，不如将其作为参数传递给每个函数，并且仅在传递到 maxValue 时递增。还有其他一些逻辑错误，例如未正确引用 numAgents，以及我的 miniMax 方法未返回操作。这是我的解决方案，结果证明有效：

def getAction(self, gameState):

    self.numAgents = gameState.getNumAgents()
    self.myDepth = 0
    self.action = Direction.STOP # Imported from a class that defines 5 directions

    def miniMax(gameState, index, depth, action):
        maxU = float('-inf')
        legalMoves = gameState.getLegalActions(index)
        for move in legalMoves:
            tempU = maxU
            successor = gameState.generateSuccessor(index, move)
            maxU = minValue(successor, index + 1, depth)
            if maxU > tempU:
                action = move
        return action

    def maxValue(gameState, index, depth):
        if gameState.isWin() or gameState.isLose() or depth == self.depth:
            return self.evaluationFunction(gameState)

        index %= (self.numAgents - 1)
        maxU = float('-inf')
        legalMoves = gameState.getLegalActions(index)
        for move in legalMoves:
            successor = gameState.generateSuccessor(index, move)
            maxU = max(maxU, minValue(successor, index + 1, depth)
        return maxU

    def minValue(gameState, index, depth):
        if gameState.isWin() or gameState.isLose() or depth == self.depth:
            return self.evaluationFunction(gameState)

        minU = float('inf')
        legalMoves = gameState.getLegalActions(index)
        if index + 1 == self.numAgents:
            for move in legalMoves:
                successor = gameState.generateSuccessor(index, move)
                # Where depth is increased
                minU = min(minU, maxValue(successor, index, depth + 1)
        else:
            for move in legalMoves:
                successor = gameState.generateSuccessor(index, move)
                minU = min(minU, minValue(successor, index + 1, depth)
        return minU

    return miniMax(gameState, self.index, self.myDepth, self.action)

很快！我们最终的工作多智能体 minimax 实现。

为什么我的 Minimax 不能正确展开和移动？

Why is My Minimax Not Expanding and Making Moves Correctly?

python

python-2.7

recursion

artificial-intelligence

minimax