Multiwinner Voting with Fairness Constraints

Multiwinner voting rules are used to select a small representative subset of candidates or items from a larger set given the preferences of voters. However, if candidates have sensitive attributes such as gender or ethnicity (when selecting a committee), or specified types such as political leaning (when selecting a subset of news items), an algorithm that chooses a subset by optimizing a multiwinner voting rule may be unbalanced in its selection -- it may under or over represent a particular gender or political orientation in the examples above. We introduce an algorithmic framework for multiwinner voting problems when there is an additional requirement that the selected subset should be "fair" with respect to a given set of attributes. Our framework provides the flexibility to (1) specify fairness with respect to multiple, non-disjoint attributes (e.g., ethnicity and gender) and (2) specify a score function. We study the computational complexity of this constrained multiwinner voting problem for monotone and submodular score functions and present several approximation algorithms and matching hardness of approximation results for various attribute group structure and types of score functions. We also present simulations that suggest that adding fairness constraints may not affect the scores significantly when compared to the unconstrained case.Comment: The conference version of this paper appears in IJCAI-ECAI 201

Conservatism and women's political representation

Conservative political actors appear rather troubling for many gender and politics scholars and feminist activists. What should we make of their claims to represent women? How should we best understand their actions? This article, based on a critical re-reading of the empirical literature and informed by contemporary representation theory, develops a new conceptual framework for assessing the quality of women's substantive representation by conservatives. We find that under specified conditions, conservative representatives do further women's substantive representation. A first set of conditions relates to conservative claims to represent women. These are considered to be ‘for women’ when they marry conservative women’s concerns in society; when conservative representatives act and do not simply engage in rhetoric; and when their actions are not undercut by other acts, policies or outcomes unfavourable to women. A second set of criteria considers the quality of the process of women’s substantive representation. We contend that a feminist process of deliberation about women’s interests can include conservative claims as long as they meet the requirements of responsiveness, inclusiveness and egalitarianism

Good representatives and good representation

This article should be read as an ongoing dialogue between Suzanne Dovi and ourselves about a common concern: the quality of representation in general and, in particular, the good substantive representation for women (SRW). We strongly share Dovi’s concern that democratic institutions and processes can favor those in positions of power and can be used to dominate and oppress. We also are persuaded that for democracy to function well, a specific type of representative is required (Dovi 2007). The key difference between us is that Dovi’s focus (2002, 2007) is on the individual representative’s characteristics and qualities, whereas we turn our focus to the level of representative processes