Final answer:
A decision predicated on the equality of all participants is known as an egalitarian decision-making process, which often utilizes voting to ensure equal consideration of group members in a nonviolent and democratic manner.
Step-by-step explanation:
A decision based on the belief that everyone is equal is part of an egalitarian decision-making process. This approach is grounded in the principles of equity and fairness. In these democratic decision-making processes, such nonviolent methods as voting ensure that all group members have equal say, which aligns with the notion that individuals should be treated equally regardless of their skills, knowledge, or abilities. It embodies the essence of John Rawls's theory of justice and the veil of ignorance, which supposes that a rational designer, not knowing their own status in society, would ensure no discrimination based on race or ethnicity exists. Moreover, an egalitarian approach reduces conformity costs associated with authoritarian decision-making but may increase transaction costs, particularly in large and diverse groups where reaching a unanimous or majority decision may be challenging.