1.
game; play; amusement
A structured game or play activity, especially those played by children or in educational settings. More formal than 遊び and often implies organized or rule-based activities. Composed of 遊 (play) + 戯 (frolic).
Usage
遊戯 is more formal and literary than 遊び. It is commonly used in educational and institutional contexts (kindergartens, childcare facilities). Also well known from the manga and anime title 遊☆戯☆王 (Yu-Gi-Oh!).