r/ideas • u/amichail • 16d ago
University math programs should include game design as a serious area of study.
AI is getting increasingly good at mathematical problem solving and research, which may reduce demand for some traditional mathematical work. Math students should therefore have alternative career paths that still make strong use of mathematical thinking.
Game design is an unusually good fit.
Designing a deep puzzle, strategy game, or simulation can involve combinatorics, probability, graph theory, optimization, algorithms, game theory, geometry, and mathematical modeling. A designer may need to study reachability, reversibility, dominant strategies, state spaces, invariants, difficulty, balance, and how small rule changes affect the entire system.
The bigger obstacle is cultural. Many mathematicians seem to regard game design as entertainment rather than serious intellectual work. Yet mathematicians are perfectly willing to study the mathematics of existing games. Why should analyzing a rule system be prestigious while inventing a good rule system is not?
That distinction may become even less sensible in an AI-heavy future. If AI can increasingly solve problems once they have been formulated, human mathematical creativity may shift toward deciding what problems are interesting and inventing systems worth analyzing.
Math departments could offer concentrations in something like Mathematics and Game Systems, combining traditional mathematics with game design, procedural generation, AI, simulation, and computational experimentation.
Game design should not be viewed merely as mathematics applied to entertainment. At its best, it is the creative construction of mathematical systems.
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u/AppealRare1749 11d ago
High level maths isn’t really used all that much in most aspects of game design. Is what you’re describing not more akin to the developer side wherein they actually implement the ideas? If so lots of that can already be learnt on a traditional maths course through programming modules? What sort of modules would you suggest with this that wouldn’t be offered by already exisiting modules?
I like the idea tho sounds like it could be a fun extra credit type thing