You need to define your terms. What is "perfect competition?" What is "imperfect competition?" Is there a "neutral competition?" What is "competition?" What is "perfect?"
Dictionary.com is a good start, so here we go:
COMPETITION
1. The act of competing, as for profit or a prize; rivalry.
2. A test of skill or ability; a contest: a skating competition.
3. Rivalry between two or more businesses striving for the same customer or market.
4. A competitor: The competition has cornered the market.
5. Ecology. The simultaneous demand by two or more organisms for limited environmental resources, such as nutrients, living space, or light.
PERFECT
1. Lacking nothing essential to the whole; complete of its nature or kind.
2. Being without defect or blemish: a perfect specimen.
3. Thoroughly skilled or talented in a certain field or area; proficient.
4. Completely suited for a particular purpose or situation: She was the perfect actress for the part.
5.
a. Completely corresponding to a description, standard, or type: a perfect circle; a perfect gentleman.
b. Accurately reproducing an original: a perfect copy of the painting.
6. Complete; thorough; utter: a perfect fool.
7. Pure; undiluted; unmixed: perfect red.
8. Excellent and delightful in all respects: a perfect day.
9. Botany. Having both stamens and pistils in the same flower; monoclinous.
10. Grammar. Of, relating to, or constituting a verb form expressing action completed prior to a fixed point of reference in time.
11. Music. Designating the three basic intervals of the octave, fourth, and fifth.
How are these two words compatible? One is an act of testing skill, an act of improvement; the other is indifference and irrelevence.
Perfect competition? An unmixed rivalry? An excellent contest? Perfectly suited for competing?