As an AI text-based model, I can provide you with the code that meets your requirements. However, please note that due to the limitations of the text interface, I am unable to create an actual HTML file or run JavaScript code directly. Below is an example code snippet that demonstrates a simple game where players input numbers and the program keeps track of the biggest number entered. You can use this code as a reference and implement it in a single HTML file by enclosing it within `` tags.
Please note that this is a basic implementation to demonstrate the game logic. You can further enhance and customize it based on your requirements, such as adding user interface elements, additional gameplay features, or pictograms if desired.