Pure competition is a subset of perfect competition. All the characteristics of pure competition are present in perfect competition.But some characteristics of perfect comp are not in pure one.
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In imperfect competition the producer is the price maker. Whereas in perfect the producer is the price taker meaning there are many producers and no one can influence the price.
the difference between perfect and imperfect oligopoly
Product differentiation
What is the difference between perfect competition and pure monopoly
In imperfect competition the producer is the price maker whereas in perfect the producer is the price taker. In imperfect no new competitors enter the industries hence super normal profits will continue to be realised, unlike in perfect comp