The phrase "abdicate their role" is correct and usable in written English.
It can be used when discussing someone who is relinquishing or giving up their responsibilities or duties in a particular position or situation.
Example: "In times of crisis, leaders must not abdicate their role, as their guidance is crucial for the team."
Alternatives: "relinquish their position" or "forsake their responsibilities".
"To realize true gender equality in both the private and public spheres, our results suggest that women may need to at least partially abdicate their role of ultimate household deciders, and men must agree to share such decision making," she concluded.
Local sheriffs and attorneys general from nine states told the court that the FCC was pursuing "its own purposes and policies" rather than executing existing law and was expecting courts "to abdicate their role" by going along with the cap, according to a brief from the group of law enforcement officials led by Scott Pruitt, Oklahoma's attorney general.
When they do, they violate a child's trust and abdicate their role as responsible adults.
Women need to "at least partially abdicate their role of ultimate household deciders, and men must agree to share such decision making".
Fund managers who take their cues from stockmarket indices also abdicate their roles in making markets efficient.
In our culture, by contrast, adults have abdicated their role in the adolescent socialization process and turned the entire job over to the youthful peer group.
Edward Snowden: After 9/11, many of the most important news outlets in America abdicated their role as a check to power — the journalistic responsibility to challenge the excesses of government — for fear of being seen as unpatriotic and punished in the market during a period of heightened nationalism.
The National Retail Federation called the strikes "further proof that the labor movement (has) abdicated their role in an honest and rational discussion about the American workforce".
Anchors have abdicated their role as educated inquisitors; some because, simply, they are unqualified or unprepared, others because they would rather cater to their guests or the corporate bottom line than to the mission to bring truth to the airwaves.
In his recent memoir, former White House press secretary Scott McClellan reaffirmed what many of us have known for a long time - that the Bush Administration spun us into the disastrous war in Iraq through mendacious propaganda which the mainstream media, abdicating their role as independent journalists, accepted and then disseminated without question or scrutiny.
Both have abdicated their roles in dealing with this crisis.
