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I would like to know if you know any model with Search and matching framework (Mortenses-Pisarides style) with 2 types of workers (like Ricardian and rule of thumb consumers for exemple) ? I would like to see such a model featuring different wages, hours worked and unemployment rates between the 2 consumers. In the end I would like to implement such a framework to a DSGE model with Ricardian and rule of thumb consumers. Thank you.

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    $\begingroup$ Do you mean two types of workers? $\endgroup$ – Michael Greinecker Feb 7 at 19:09
  • $\begingroup$ Yes that is right. $\endgroup$ – user28453 Feb 7 at 19:16
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    $\begingroup$ I'm not sure about exactly two, but if you google "mortensen pissarides heterogeneous workers," many papers show up. $\endgroup$ – Michael Greinecker Feb 7 at 19:45
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I am not sure if this is exactly what you are looking for, but this paper has model that sounds like what you want:

Shimer, Robert, 2006. “On-the-job search and strategic bargaining, ”European EconomicReview50, 811—830.

Have a look at this one too:

Shimer, R. (2007). Mismatch. American Economic Review, 97(4), 1074-1101.

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