Sure, here's a sample HTML file that implements a simple game using JavaScript. It is enclosed in script tags and can be played on a smartphone. Pictograms can also be incorporated to enhance the game's visuals.
In this example, the game is very simple. It tracks a score and allows the player to increase the score by tapping/clicking on the screen. The score is then displayed on the screen using the `game-container` div. You can expand on this basic structure and add more game logic and features as per your specific requirements.