The tendency to seek evidence supporting one's perspectives while ignoring evidence to the contrary is referred to as

Repression is a psychological defense mechanism where individuals unconsciously block out unpleasant thoughts or memories, rather than actively seeking out supportive evidence. It does not relate to the selective search for confirming information, but rather to the avoidance of negative emotions or experiences.

Belief perseverance refers to the phenomenon where individuals maintain their beliefs even when confronted with disconfirming evidence. While it shares similarities with confirmation bias, it specifically emphasizes the stubbornness of holding onto beliefs, rather than the active search for confirming information.

Gambler's fallacy is the mistaken belief that past random events affect the probabilities of future random events, such as believing that a series of losses in gambling means a win is due. This concept does not pertain to the selective consideration of evidence but rather to misconceptions about probability and chance.