Sure, here's a simple game implementation using JavaScript, HTML, and pictograms for smartphone operation. The game is called "Jump Simulator."
In this game, there is a player represented by a colored box and a jump button, which is denoted by an upward-facing triangle (▲) pictogram. By tapping or clicking the jump button, the player will jump by translating vertically upwards. The player's position is reset after one second to simulate landing.
Note: This implementation is for demonstration purposes and doesn't include complex gameplay mechanics or additional levels. It's a basic simulation to satisfy the requirements mentioned.