A Video Game Based on Elementary Differential Equations

• 作者: Francesca Mariani Francesco Zirilli Marco Giacinti Maria Cristina Recchioni
• 来源期刊: 智能控制与自动化(英文)
• 学科: 数学
• 关键词: VIDEO GAME Differential GAMES Mechanical DYNAMICAL System
• 年，卷（期）: 2013,（3）
• 页码范围: 250-262
• 页数: 13页
• 分类号: O1

摘要

In this paper a prey-predator video game is presented. In the video game two predators chase a prey that tries to avoid the capture by the predators and to reach a location in space (i.e. its “home”). The prey is animated by a human player (using a joypad), the predators are automated players whose behaviour is decided by the video game engine. The purpose of the video game is to show how to use mathematical models to build a simple prey-predator dynamics representing a physical system where the movements of the game actors satisfy Newton’s dynamical principle and the behaviour of the automated players simulates a simple form of intelligence. The game is based on a simple set of ordinary differential equations. These differential equations are used in classical mechanics to describe the dynamics of a set of point masses subject to a force chosen by the human player, elastic forces and friction forces (i.e. viscous damping). The software that implements the video game is written in C++ and Delphi. The video game can be downloaded from: http://www.ceri.uniroma1.it/ceri/zirilli/w9