Final answer:
The bias in question is called motivated reasoning or self-serving bias, where an individual favors ideas that benefit them personally, despite contrary evidence.
Step-by-step explanation:
The type of bias where you favor an idea because it benefits you, despite contrary arguments, is known as motivated reasoning or self-serving bias. For instance, if one's livelihood is dependent on the sale of guns, they may favor limited gun control even when faced with credible evidence suggesting that it may not be the best policy. This bias is where decisions or opinions are influenced by personal interests and desires, rather than by rational evaluation of the evidence.
Motivated reasoning is different from confirmation bias, which is the tendency to search for, interpret, and remember information that confirms pre-existing beliefs. While they may appear similar, confirmation bias relates to beliefs and motivated reasoning relates to personal interests or desired outcomes. Still, both forms of bias can contribute to skewed views and may prevent an individual from making well-balanced decisions or understanding the full scope of an issue.