Sure! Here's a simple game that can be implemented as a single HTML file containing JavaScript enclosed within script tags. It can be played on a smartphone and uses pictograms. Please note that this is a basic example and can be expanded upon for adding more functionality or complexity.
This HTML file sets up a basic game framework where a random pictogram is displayed and can be changed by touching it. However, the game does not have a defined end condition in this example. You can add your own logic and features to create a meaningful and enjoyable game experience.