Kinked demand curve model
If the firm raises prices other firms won't follow because they don't worry about losing market share to a firm which is raising price; if the firm lowers its prices other firms will respond by lowering their prices also since they don't want to lose market share.
Dominant firm oligopoly model
One firm has significant cost advantage and produces a large share of the industry output and thus can effectively set the market price, the other firms are price takers.
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