there cant be a perfect market for the airlines bcause the prices are quite dependent on the compititors not by the buyers , for example if the jet is going to reduce the prices indigo is bound to reduce it whether they will survive or not its secondary , however in the perfect market the prices are determined by the buyers not the seller , not exactely what i mean to say is the prices are just above the cost of production i.e to say cost or prodution /services plus resonable prices
however in oligopoly market the compitiors decide there prices on the basis of the price charge by the other in the same industry
as far as u r qustion goes then there will be no oligopoly market bcause when the compitiors are selling the same product it cant be tell the requirement of perfect market
example of perfect market is share market or many are there but airlines , coldrinks and do fall in oligopoly market