Математична модель розрахунку балансу комп'ютерних ігор жанру Tover Defense
Journal Title: Математичне моделювання - Year 2016, Vol 1, Issue 2
Abstract
MATHEMATICAL MODEL FOR CALCULATING THE BALANCE OF THE COMPUTER GAME IN THE GENRE TOWER DEFENSE Oliynyk L.O., Bazhan S.M. Abstract The aim of the work is to build the mathematical model for calculating the balance of the computer game in the genre Tower Defense, based on the mathematical theory of games. Games of this genre today are prominent in the IT industry. While designing the code of the game there must be a sufficiently flexible algorithm of strategies selection for the computer to satisfy the interests of player and encourage him to continue the game. It is the problem of strategies selection for computer’s action that this work is devoted to. Problem statement: designing of a mathematical model for algorithm of strategies selection for the gaming programme that determine the difficulty level of the game and ensure a certain percentage of winnings to the player, in case when he determines the correct strategy game for himself Mathematical model of the game balance should determine the optimal set of control options that influence the choice of a strategy of player’s behavior, and provide the designer with a complete list of strategies, according to the difficulty levels of the game. Control options -a data array that determines the choice of a game strategy. To obtain winning functions and game matrix a particular calculating instrument was developed. In this work we built a game matrix for towers and units of the same type. As a result of selection of all possible control options game matrix was obtained as well as the obtained strategies were distributed according to difficulty levels of the game. References [1] Varlahina I. [Balance in the games of the genre of Tower Defense (part 1)]. 2013, March 22th.( In Russ.) Available at: https://habrahabr.ru/post/173913/ [2] Varlahina I. [Balance in the games of the genre of Tower Defense (part 2)]. 2013, April 11. .( In Russ.) Available at: http://habrahabr.ru/post/176355/ [3] Varlahina I. [ The use of AI and utilities in the development of games of the genre of Tower Defense]. 2013, August 6( In Russ.) Available at: http://habrahabr.ru/post/189198/ [4] Dalrymple J., Mark D. [Understanding Tower Defense games]. 2010, March 30th,.( In Eng.) Available at: http://www.loopinsight.com/2010/03/30/understanding-tower-defense-games/ [5] Avery P. [Computational Intelligence and Tower Defence Games] Department of Computer Science and Engineering / University of Nevada, Reno, USA.,2011, ( In Eng.) Available at: http://julian.togelius.com/Avery2011Computational.pdf
Authors and Affiliations
Л. О. Олійник, С. М. Бажан
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