What kind of elasticity of demand is faced by the oligopolistic firm?

According to Paul Sweezy's kinked demand curve model of oligopoly, rival firms will not match a price increase by a firm (making demand above the current price highly elastic), whereas rivals will quickly match any price cut to protect their market share (making demand below the current price relatively inelastic). Therefore, an oligopolistic firm faces high elasticity for a price rise but less elasticity for price cuts.