EEEdith Elkind

Edith Elkind

*This is an algorithmically generated author record based on publicly available information.

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Previous Organizations / Institutes

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Edith Elkind has a total of 105 co-authors. Here are the top co-authors by number of shared publications:


Latest Publications

  • Open Access

    Proportional representation under single-crossing preferences revisited

    by Andrei Constantinescu, Edith Elkind

    We study the complexity of determining a winning committee under the Chamberlin–Courant voting rule when voters’ preferences are single-crossing on a line, or, more generally, on a median graph (this class of graphs includes, e.g., trees and grids). For the line, Skowron et al. (2015) describe an $$\varvec{O}(\varvec{n}^{\varvec{2}}\varvec{mk})$$ O ( n 2 mk ) algorithm (where $$\varvec{n}$$ n , $$\varvec{m}$$ m , $$\varvec{k}$$ k are the number of voters, the number of candidates and the committee size, respectively); we show that a simple tweak improves the time complexity to $$\varvec{O(nmk)}$$ O ( n m k ) . We then improve this bound even further by reducing our problem to the $$\varvec{k}$$ k -link path problem for complete DAGs with Monge-concave weights, obtaining an $$\varvec{O(n}^{\varvec{1 + o(1)}}\varvec{m})$$ O ( n 1 + o ( 1 ) m ) algorithm for arbitrary misrepresentation functions and a nearly linear algorithm for the Borda misrepresentation function. For trees, we point out an issue with the algorithm proposed by Clearwater et al. (2015), and develop an $$\varvec{O(nmk)}$$ O ( n m k ) algorithm for this case as well. For grids, we formulate a conjecture about the structure of optimal solutions, and describe a polynomial-time algorithm that finds a winning committee if this conjecture is true; we also explain how to convert this algorithm into a bicriterial approximation algorithm whose correctness does not depend on the conjecture.

  • Open Access

    Proportional justified representation

    by Luis Sánchez-Fernández, Edith Elkind, Martin Lackner, Norberto Fernández García, Jesús A. Fisteus, Pablo Basanta Val, Piotr Skowron


  • Top Cited Papers
    Open Access

    Generative AI voting: fair collective choice is resilient to LLM biases and inconsistencies

    by Srijoni Majumdar, Edith Elkind, Evangelos Pournaras

    Recent breakthroughs in generative artificial intelligence (AI) and large language models (LLMs) unravel new capabilities for AI personal assistants to overcome cognitive bandwidth limitations of humans, providing decision support or even direct representation of abstained human voters at large scale. However, the quality of this representation and what underlying biases manifest when delegating collective decision making to LLMs is an alarming and timely challenge to tackle. By rigorously emulating more than >50K LLM voting personas in 363 real-world voting elections, we disentangle how AI-generated choices differ from human choices and how this affects collective decision outcomes. Complex preferential ballot formats show significant inconsistencies compared to simpler majoritarian elections, which demonstrate higher consistency. Strikingly, proportional ballot aggregation methods such as equal shares prove to be a win-win: fairer voting outcomes for humans and fairer AI representation, especially for voters likely to abstain. This novel underlying relationship proves paramount for building democratic resilience in scenarios of low voters turnout by voter fatigue: abstained voters are mitigated via AI representatives that recover representative and fair voting outcomes. These interdisciplinary insights provide decision support to policymakers and citizens for developing safeguards and policies for risks of using AI in democratic innovations.


  • Open Access

    Efficient Investment in Multi-Agent Models of Public Transportation

    by Martin Bullinger, Edith Elkind, Kassian Köck

    We study two stylized, multi-agent models aimed at investing a limited, indivisible resource in public transportation. In the first model, we face the decision of which potential stops to open along a (e.g., bus) path, given agents' travel demands. While it is known that utilitarian optimal solutions can be identified in polynomial time, we find that computing approximately optimal solutions with respect to egalitarian welfare is NP-complete. This is surprising as we operate on the simple topology of a line graph. In the second model, agents navigate a more complex network modeled by a weighted graph where edge weights represent distances. We face the decision of improving travel time along a fixed number of edges. We provide a polynomial-time algorithm that combines Dijkstra's algorithm with a dynamical program to find the optimal decision for one or two agents. By contrast, if the number of agents is variable, we find \np-completeness and inapproximability results for utilitarian and egalitarian welfare. Moreover, we demonstrate implications of our results for a related model of railway network design.

  • Open Access

    Shortlisting: a Principled Approach

    by Edith Elkind, Qishen Han, Lirong Xia

    Shortlisting is the process of selecting a subset of alternatives from a larger pool for further consideration or final decision-making. It is widely applied in social choice and multi-agent system scenarios. The growing demand for participatory decision-making and the continuously expanding space of candidates create an urgent need for efficient and fair shortlisting procedures. However, little principled study has been done on this problem. This blue-sky paper aims to highlight the overlooked significance of shortlisting, distinguish it from related problems, provide initial thoughts, and, more importantly, serve as a call to arms. We envision that principled shortlisting can reduce cognitive burden, enable fair collective decisions, encourage broader participation, and ultimately build trust in democratic systems.

  • Top Cited Papers
    Open Access

    Settling the score: Portioning with cardinal preferences

    by Edith Elkind, Matthias Greger, Patrick Lederer, Warut Suksompong, Nicholas Teh


  • Open Access

    Strategic candidacy with reluctance

    by Edith Elkind, Svetlana Obraztsova, Maria Polukarov, Zinovi Rabinovich

    In strategic candidacy games, both voters and candidates have preferences regarding the election results, and candidates strategically decide whether to participate or abstain, in order to sway the outcome in their preferred direction. Often, it is assumed that candidates are keen to be elected or even just show up for visibility purposes, unless their presence is harmful. However, there may be candidates who find it costly to run an electoral campaign in the first place and therefore prefer to withdraw if their participation has no effect on the election outcome (a.k.a. lazy candidates), or those who would rather not win the election due to perceived interpersonal or reputational risks, unless they see no better alternative (a.k.a. reluctant leaders). In this work, we open the study of reluctance in strategic candidacy, and extend the standard candidacy game model to incorporate the concepts of reluctant participation (lazy candidacy) and reluctant leadership. We examine the pure-strategy Nash equilibria and the outcomes of natural iterative dynamic processes in such games, both from a normative and from a computational perspective, and compare them with their counterparts in the conventional model.

  • Open Access

    Maximizing the Egalitarian Welfare in Friends and Enemies Games

    by Edith Elkind, Michele Flammini, Giovanna Varricchio

    We consider the complexity of maximizing egalitarian welfare in Friends and Enemies Games -- a subclass of hedonic games in which every agent partitions other agents into friends and enemies. We investigate two classic scenarios proposed in the literature, namely, Friends Appreciation ($\mathsf{FA}$) and Enemies Aversion ($\mathsf{EA}$): in the former, each agent primarily cares about the number of friends in her coalition, breaking ties based on the number of enemies, while in the latter, the opposite is true. For $\mathsf{EA}$, we show that our objective is hard to approximate within $O(n^{1-ε})$, for any fixed $ε>0$, and provide a polynomial-time $(n-1)$-approximation. For $\mathsf{FA}$, we obtain an NP-hardness result and a polynomial-time approximation algorithm. Our algorithm achieves a ratio of $2-Θ(\frac{1}{n})$ when every agent has at least two friends; however, if some agent has at most one friend, its approximation ratio deteriorates to $n/2$. We recover the $2-Θ(\frac{1}{n})$ approximation ratio for two important variants: when randomization is allowed and when the friendship relationship is symmetric. Additionally, for both $\mathsf{EA}$ and $\mathsf{FA}$ we identify special cases where the optimal egalitarian partition can be computed in polynomial time.