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If the competition stops a person reproducing then sure it is a little violent. If it stops an idea reproducing, then I am not so sure I care about stopping all violence.
Failure to reproduce is not the ultimate violence. Killing someone and killing everyone vaguely related to them (including the bacteria that share a genetic code), destroying their culture and all its traces is far more violent.
Ideas have no agency. Agents competing for control/use of resources contain violence. I probably should back up a step and say "denial of goals is the ultimate violence". If you have a different definition (preferably something more complete than "no hitting"), please share it.