The name given to the practice of favoring your own relatives is "nepotism." It refers to the act of giving preferential treatment to family members or friends, even if they may not be the most qualified or deserving candidate for a position or opportunity. Nepotism can be seen in various fields, including politics, business, and entertainment, and can often lead to resentment and mistrust among others who feel unfairly excluded. Many organizations have policies in place to prevent nepotism and ensure fair competition for all positions and opportunities.