Pawn duel
Encyclopedia
Pawn duel is a logical chess
game. Two players are taking part, each one has three (sometimes more) pawns, placed in opposite to each other on controversial ending lanes. First move belongs to the player controlling the white pawns. Each move means changing the position of a single pawn of your color. During the first move, a player can go no further than the middle of the board, but there is no such limitation during subsequent moves. Pawns may go forward or backward. The goal of each player is to leave the opponent with no moves.
The game is a discrete sequential
non-cooperative
game with perfect information
and zero-sum
according to game theory
. If the first player (white) knows ideal strategy
of the game, he can secure his own victory. A single wrong move of white pawns, however, gives the advantage to the second player and the latter wins if he knows ideal strategy. A position in pawn duel could be evaluated completely (unlike chess) and illustrates how a single move can dramatically change the result of the entire game.
Chess
Chess is a two-player board game played on a chessboard, a square-checkered board with 64 squares arranged in an eight-by-eight grid. It is one of the world's most popular games, played by millions of people worldwide at home, in clubs, online, by correspondence, and in tournaments.Each player...
game. Two players are taking part, each one has three (sometimes more) pawns, placed in opposite to each other on controversial ending lanes. First move belongs to the player controlling the white pawns. Each move means changing the position of a single pawn of your color. During the first move, a player can go no further than the middle of the board, but there is no such limitation during subsequent moves. Pawns may go forward or backward. The goal of each player is to leave the opponent with no moves.
The game is a discrete sequential
Sequential game
In game theory, a sequential game is a game where one player chooses his action before the others choose theirs. Importantly, the later players must have some information of the first's choice, otherwise the difference in time would have no strategic effect...
non-cooperative
Non-cooperative game
In game theory, a non-cooperative game is one in which players make decisions independently. Thus, while they may be able to cooperate, any cooperation must be self-enforcing....
game with perfect information
Perfect information
In game theory, perfect information describes the situation when a player has available the same information to determine all of the possible games as would be available at the end of the game....
and zero-sum
Zero-sum
In game theory and economic theory, a zero-sum game is a mathematical representation of a situation in which a participant's gain of utility is exactly balanced by the losses of the utility of other participant. If the total gains of the participants are added up, and the total losses are...
according to game theory
Game theory
Game theory is a mathematical method for analyzing calculated circumstances, such as in games, where a person’s success is based upon the choices of others...
. If the first player (white) knows ideal strategy
Strategy
Strategy, a word of military origin, refers to a plan of action designed to achieve a particular goal. In military usage strategy is distinct from tactics, which are concerned with the conduct of an engagement, while strategy is concerned with how different engagements are linked...
of the game, he can secure his own victory. A single wrong move of white pawns, however, gives the advantage to the second player and the latter wins if he knows ideal strategy. A position in pawn duel could be evaluated completely (unlike chess) and illustrates how a single move can dramatically change the result of the entire game.
