Intellectual property rights are conventionally said to solve an incentive problem but not an allocation problem. (pdf page 3)
Those who favor treating copyright, patents, and trademarks as property tend to use the vague and misleading term “Intellectual Property” when trying to persuade others toward their line of thinking. This leads to overgeneralization, thus breeding confusion. Trademark law isn’t about incentives. It’s a stamp of approval to protect consumers, not a solution to an “incentive problem”.