Schmid Comparative Migration Studies (2020) 8:25 Page 9 of 20 Table 1 Overview of the analytical framework and its empirical implications Logic Variants Relevance Economic logic of the market Open Transnational labour markets Closed Protectionist national labour markets Legal logic of the liberal state Liberal Independent and strong judicial review Illiberal Non-independent and weak judicial review Liberal Democratic rights extended to immigrants Illiberal Democratic rights reserved for natives Inclusive Inclusive national identities Exclusive Exclusive national identities Democratic logic of the liberal state Cultural logic of the nation Globalisation Constraints Immigration Regime Citizenship Regime High Low High Low High Low Tendency Immigration Regime Citizenship Regime Strong liberal tendency Convergent Weak liberal tendency Non-convergent normative model that corresponds most closely to this regime is liberal communitarianism (the classic statement is Walzer 1983, ch. 2) and can be abbreviated as closedinclusive. The diametrically opposing normative ideal-type is neo-liberal utilitarianism (see e.g. Ruhs 2013): Immigration is liberalised, but citizenship is exclusive; it is open-exclusive. By emphasizing economic openness to harness the benefits of globalisation, while at the same time controlling its impact on the fabric of the national political community by keeping or making citizenship exclusive, the neo-liberal regime type resembles the notion of the liberal paradox (Hollifield 2004). The typology is completed by liberal cosmopolitanism and its counterpart illiberal nativism. The former combines open labour markets with rights to family reunification and the right to humanitarian protection and asylum as well as inclusive citizenship (see e.g. Carens 2013). This open-inclusive policy configuration thus embodies the resolution of the liberal paradox and has been abbreviated as the ‘Liberal Model’ (Boucher and Gest 2018). Illiberal nativism has relatively closed borders, and its citizenship is relatively exclusive; it is closed-exclusive. The ‘Market Model’ (Boucher and Gest 2018) is selectively open but exclusive and thus can be located in between the illiberal and the neo-liberal model. Figure 1 summarises this typology. If IRO and CRI indeed increase over time, we can expect that more and more cases should be open-inclusive. However, if the liberalising and convergent tendency is indeed stronger for immigration regimes, the continued non-convergence in CRI should also lead to a substantial number of open-exclusive cases. Data and methods To measure the various components of Immigration Regime Openness (IRO), this article uses data of the Immigration Policies in Comparison project (IMPIC; Helbling

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