The N-dimensional N-person chesslike game strategy analysis model
In this research a mathematical, symmetric n-player game model, based on chess is
designed. Symmetry in this context refers to players' positions with respect to
each other. While the order of move naturally violates the symmetry, this problem may also be solved. The motivation for building this kind of game model
stems from the difficulty of finding mathematical solutions for multi-player
games in general. The number of varying factors is so huge, that finding optimal strategies is mathematically almost impossible. The best way to attempt
this is to use simulation. Once the model has been built, it can be applied in
many ways by using computational algorithms based on the created model.
Chess in this design is the basic structure around which the model is built. The
players’ weighting values can later be changed, as well as the weighting values
of the pieces, in order to better reflect the variety of real-life situations. While
chess is a board game, it can mirror various types of interactions between a
number of different participants. Thus the game, in a larger extent, may play a
role in understanding such things as politics, ecology and weather forecasting.
During this research a great number of spin-off results and observations were
discovered.
The main objective and result of this research was, however, to create a symmetric n-
person strategy game, because currently there is no simple mathematical model for
symmetric n-player, strategy games.
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Publisher
University of JyväskyläISBN
978-951-39-6878-6ISSN Search the Publication Forum
1456-5390Keywords
Metadata
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- Väitöskirjat [3411]
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