The only researchers who might be interested in your work are those whose work is very closely related to yours. The only way you will identify them is to read academic papers in that specific field. The fact the your algorithm works in a game has very little impact. It will need to be compared to what is widely recognized and accepted in academic circles.
You're correct, academics are very time poor. They are subjected to many pressures to produce and thus will not expend any effort poking into some one page summary of an algorithm. If you present them with a solid draft for a paper and it is in their area of work, then you might get more interest.
The structure of an academic/research paper, needs to state the problem, survey the field, identify the key contributions in the field, detail your improvement and then provide verifiable comparisons. That is, prove that for a specific area of application your algorithm has specific advantages. The preparation of papers tends to require 3-6 months to first submission. It's not unusual to encounter several rejections before a journal or conference accepts a paper.