Men and women do compete against each other in chess, including in official FIDE (International Chess Federation) tournaments. The notion that they don’t is based on seeing fewer mixed matches at the top levels, which has historical reasons. Chess was long male-dominated, creating a larger pool of male players in high-level competitions and making women’s visibility in these ranks less common.
To encourage female participation, chess organizations made women-specific tournaments and titles. This doesn’t exclude women from competing with men – many participate in open tournaments without gender restrictions. The presence of women’s events is to support and increase the participation of women in chess, not to segregate competitions.
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