Identifying the New Keynesian Phillips Curve

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Monetary Policy Rules and Macroeconomic Stability: Some New Evidence (2010, background): “Notable exceptions are papers on the Phillips curve by Dufour, Khalaf, and Kichian (2006), Ma (2002) and Nason and Smith (2005). where r t denotes the target nominal policy rate, t and xt denote in ation and the output gap, respectively, Et denotes expectations conditional on information available…”
Components (2008, unknown): “' Similarly Nason and Smith (2006) conclude that '..there is littel evidence of forward looking dynamics in U.”
Optimal Inflation and the Identification of the Phillips Curve (2019, unknown): “…and recently Bullard (2018) highlight the role of monetary policy on inflation dynamics in simple New Keynesian models with Taylor rules, and Nason and Smith (2008); Mavroeidis, Plagborg-Møller, and Stock (2014); and Krogh (2015) explore Phillips curve identification in detail in similar…”
Empirical Evidence on Inflation Expectations in the New Keynesian Phillips Curve (2014, methodology): “The instrument set is the same as in Nunes (2010), i.”
Weak Instrument Robust Tests in GMM and the New Keynesian Phillips Curve (2009, methodology): “Several authors have argued that the above results are unreliable because they are derived using methods that are not robust to identification problems, also known as weak instrument problems; see Canova and Sala (2009), Mavroeidis (2005), and Nason and Smith (2008) .”