What is minimax algorithm explain in detail?

Minimax is a kind of backtracking algorithm that is used in decision making and game theory to find the optimal move for a player, assuming that your opponent also plays optimally. It is widely used in two player turn-based games such as Tic-Tac-Toe, Backgammon, Mancala, Chess, etc.

How minimax algorithm works explain with an example?

Mini-Max algorithm uses recursion to search through the game-tree. Min-Max algorithm is mostly used for game playing in AI. Such as Chess, Checkers, tic-tac-toe, go, and various tow-players game. The minimax algorithm proceeds all the way down to the terminal node of the tree, then backtrack the tree as the recursion.

Is the minimax algorithm AI?

The min max algorithm in AI, popularly known as the minimax, is a backtracking algorithm used in decision making, game theory and artificial intelligence (AI). It is used to find the optimal move for a player, assuming that the opponent is also playing optimally.

How do you use minimax?

Minimax Algorithm – a quick introduction

1. Take a game where you and your opponent take alternate turns.
2. Each time you take a turn you choose the best possible move (max)
3. Each time your opponent takes a turn, the worst move for you is chosen (min), as it benefits your opponent the most.

Is minimax a machine learning?

Some AI techniques don’t involve ML. The minimax algorithm is such an algorithm that makes computers behave intelligently but they are not learning anything. And despite that, it works quite well in many games.

What is the difference between minimax and maximin?

is that maximin is in decision theory and game theory etc, a rule to identify the worst outcome of each possible option to find one’s best (maximum payoff) play while minimax is in decision theory, game theory, etc a decision rule used for minimizing the maximum possible loss, or maximizing the minimum gain.

How do you make a minimax algorithm?

3. Minimax Algorithm

1. Construct the complete game tree.
2. Evaluate scores for leaves using the evaluation function.
3. Back-up scores from leaves to root, considering the player type: For max player, select the child with the maximum score.
4. At the root node, choose the node with max value and perform the corresponding move.

What are the advantages and disadvantages of MIN MAX algorithm?

Minimax tends to be too slow for games such as chess. For each turn, the player has many choices to decide on, the branching factor of a game of chess is huge and therefore the deeper we go, the slower it gets. On average, the branching factor for chess tends to 30. This is, 30 subtrees per turn are created.

What algorithm is used in chess game?

The core of the chess playing algorithm is a local min-max search of the gamespace. (or “ply” as it’s as its referred to in computer chess terminology), all possible moves are examined, and the static board evaluation function is used to determine the score at the leafs of the search tree.

WHAT IS A * algorithm in AI?

A * algorithm is a searching algorithm that searches for the shortest path between the initial and the final state. It is used in various applications, such as maps. In maps the A* algorithm is used to calculate the shortest distance between the source (initial state) and the destination (final state).

What is the complexity of the minimax algorithm?

The time complexity of minimax is O(b^m) and the space complexity is O(bm), where b is the number of legal moves at each point and m is the maximum depth of the tree.

Is minimax a decision tree?

If we think of a game in terms of these 2 players, Max & Min, changing turns with each other, then we can represent the game as a tree of decisions. Each node in this tree (except for the terminal nodes) represents a decision that should be made at that moment in the game. …

Is there a simple explanation of a minimax algorithm?

The minimax algorithm is a way of finding an optimal move in a two player game. In the search tree for a two-player game, there are two kinds of nodes, nodes representing your moves and nodes representing your opponent’s moves. Nodes representing your moves are generally drawn as squares (or possibly upward pointing triangles):

How does the minimax algorithm work?

The key to the Minimax algorithm is a back and forth between the two players, where the player whose “turn it is” desires to pick the move with the maximum score. In turn, the scores for each of the available moves are determined by the opposing player deciding which of its available moves has the minimum score.

How does minimax algorithm work on tictactoe?

It is widely used in two player turn-based games such as Tic-Tac-Toe, Backgammon, Mancala, Chess, etc. In Minimax the two players are called maximizer and minimizer . The maximizer tries to get the highest score possible while the minimizer tries to do the opposite and get the lowest score possible. Every board state has a value associated with it.