The antonyms for "most monopolizing" could include words such as "egalitarian," "fair," "democratic," "sharing," "equitable," "collaborative," and "inclusive." These words denote the opposite of monopolizing, which means when a single entity or person is dominating and controlling a particular market, situation or resource. Rather than focusing on one person or organization, these antonyms emphasize the importance of sharing resources and power among many people, ensuring fairness, diversity, and equal opportunities for all. They also promote a sense of cooperation and collaboration, rather than competition and domination. Using these antonyms can help ensure equality and justice in various situations.