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    Redividing the Cake

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    A heterogeneous resource, such as a land-estate, is already divided among several agents in an unfair way. It should be re-divided among the agents in a way that balances fairness with ownership rights. We present re-division protocols that attain various trade-off points between fairness and ownership rights, in various settings differing in the geometric constraints on the allotments: (a) no geometric constraints; (b) connectivity --- the cake is a one-dimensional interval and each piece must be a contiguous interval; (c) rectangularity --- the cake is a two-dimensional rectangle or rectilinear polygon and the pieces should be rectangles; (d) convexity --- the cake is a two-dimensional convex polygon and the pieces should be convex. Our re-division protocols have implications on another problem: the price-of-fairness --- the loss of social welfare caused by fairness requirements. Each protocol implies an upper bound on the price-of-fairness with the respective geometric constraints.Comment: Extended IJCAI 2018 version. Previous name: "How to Re-Divide a Cake Fairly

    Constructing Meaningful Lives: Biographical Methods in Research on Migrant Women

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    The article argues that biographical methods are particularly suited to shift the methodological and theoretical premises of migration research to foreground the agency and subjectivity of migrant women. It is argued that structural and cultural readings can usefully be applied to the self-representations of migrant women. The context of migrant women's self-representations is explored through looking at the story-telling communities they develop and through the expert knowledges of institutions regulating migration. The dichotomisation of unique versus collective modes of life-stories is questioned. Applying the Foucauldian concept of subjugated knowledges, it is argued that migrant women's life-stories hold transformative potential for producing knowledges critical of gendered and ethnocised power relations that research should pay attention to.Migration, Gender, Ethnicity, Life-Story, Methodology, Britain, Germany, Structural and Cultural Readings, Subjugated Knowledges
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