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The Efficiency of Fair Division [chapter]

Ioannis Caragiannis, Christos Kaklamanis, Panagiotis Kanellopoulos, Maria Kyropoulou
2009 Lecture Notes in Computer Science  
In this paper we study the impact of fairness on the efficiency of allocations.  ...  We present a series of results on the price of fairness under the three different notions that quantify the efficiency loss in fair allocations compared to optimal ones.  ...  We thank Ariel Procaccia for helpful discussions and the reviewers for their constructive comments.  ... 
doi:10.1007/978-3-642-10841-9_45 fatcat:dzn3rrz5hnhwtazs6bn6hbczhm

The Efficiency of Fair Division

Ioannis Caragiannis, Christos Kaklamanis, Panagiotis Kanellopoulos, Maria Kyropoulou
2011 Theory of Computing Systems  
In this paper we study the impact of fairness on the efficiency of allocations.  ...  We present a series of results on the price of fairness under the three different notions that quantify the efficiency loss in fair allocations compared to optimal ones.  ...  We thank Ariel Procaccia for helpful discussions and the reviewers for their constructive comments.  ... 
doi:10.1007/s00224-011-9359-y fatcat:ivrdlpkof5br5bxp7azlvho4r4

The Efficiency of Fair Division with Connected Pieces

Yonatan Aumann, Yair Dombb
2015 ACM Transactions on Economics and Computation  
We consider the issue of fair division of goods, using the cake cutting abstraction, and aim to bound the possible degradation in social welfare due to the fairness requirements.  ...  Previous work has considered this problem for the setting where the division may allocate each player any number of unconnected pieces.  ...  We thank Ariel Procaccia for providing helpful comments on an earlier draft of this work.  ... 
doi:10.1145/2781776 fatcat:swnissxeb5b4zif5xoebyhrxuq

The Efficiency of Fair Division with Connected Pieces [chapter]

Yonatan Aumann, Yair Dombb
2010 Lecture Notes in Computer Science  
We consider the issue of fair division of goods, using the cake cutting abstraction, and aim to bound the possible degradation in social welfare due to the fairness requirements.  ...  Previous work has considered this problem for the setting where the division may allocate each player any number of unconnected pieces.  ...  We thank Ariel Procaccia for providing helpful comments on an earlier draft of this work.  ... 
doi:10.1007/978-3-642-17572-5_3 fatcat:xhkp4gkvnzc33fl7uhyyyz5h2e

Dividing Bads is Harder than Dividing Goods: On the Complexity of Fair and Efficient Division of Chores [article]

Bhaskar Ray Chaudhury, Jugal Garg, Peter McGlaughlin, Ruta Mehta
2020 arXiv   pre-print
Although all competitive divisions satisfy the standard notions of fairness and efficiency, some divisions are significantly fairer and efficient than the others.  ...  We study the chore division problem where a set of agents needs to divide a set of chores (bads) among themselves fairly and efficiently.  ...  Therefore, chore division is PPAD-hard even on instances that satisfy the sufficiency conditions in Section 3.  ... 
arXiv:2008.00285v1 fatcat:zy6djyt7vvez7gldoy27fzx7wi

Two-Person Fair Division of Indivisible Items: An Efficient, Envy-Free Algorithm

Steven J. Brams, D. Marc Kilgour, Christian Klamler
2014 Notices of the American Mathematical Society  
An allocation of a fixed set of items is locally Pareto-optimal (LPO) iff it is the product of a sincere sequence of choices.  ...  The resulting allocation of items, called a sincere sequence of choices, clearly depends on the sequence. Proposition 5 (Brams and King, 2005).  ...  In many disputes, including divorce and estate division, only an allocation in which the disputants receive about the same number of items will be perceived as fair.  ... 
doi:10.1090/noti1075 fatcat:sw2imrbrl5f6dblir7hcwqudbm

Efficiency and Envy-freeness in Fair Division of Indivisible Goods: Logical Representation and Complexity

S. Bouveret, J. Lang
2008 The Journal of Artificial Intelligence Research  
Then we identify the complexity of determining whether there exists an efficient and envy-free allocation, for several notions of efficiency, when preferences are represented in a succinct way (as well  ...  We consider the problem of allocating fairly a set of indivisible goods among agents from the point of view of compact representation and computational complexity.  ...  Acknowledgements: We thank Michel Lemaître for stimulating discussions about fair division and compact representation, and Thibault Gajdos for stimulating discussions about envy-freeness and for pointing  ... 
doi:10.1613/jair.2467 fatcat:oci5j6yeqvhr7hoogvc7rdqigq

On the Complexity of Efficiency and Envy-Freeness in Fair Division of Indivisible Goods with Additive Preferences [chapter]

Bart de Keijzer, Sylvain Bouveret, Tomas Klos, Yingqian Zhang
2009 Lecture Notes in Computer Science  
We introduce two new important complexity results concerning efficiency and fairness in resource allocation problems: we prove that the problem of deciding whether a given allocation is Pareto-optimal  ...  is coNP-complete, and that the problem of deciding whether there is a Pareto-efficient and envy-free allocation is Σ p 2 -complete.  ...  airport traffic management, fair and efficient exploitation of Earth Observation Satellites [1] .  ... 
doi:10.1007/978-3-642-04428-1_9 fatcat:yxgcwjnybzfyxdvvblajkpgjfy

Fairness in Power Flow Network Congestion Management with Outer Matching and Principal Notions of Fair Division

Brinn Hekkelman, Han La Poutré
2020 Proceedings of the Eleventh ACM International Conference on Future Energy Systems  
Specifically, this paper discusses three distinct principal notions of fair division; proportional, egalitarian, and nondiscriminatory division.  ...  This paper presents a concept of fairness for low-voltage networks that prioritizes local, outer matching and allocates grid access through fair division of available capacity.  ...  ACKNOWLEDGMENTS This work is part of the research programme SES-BE with project number 14182 P13-21, which is partly financed by the Dutch Research Council (NWO).  ... 
doi:10.1145/3396851.3397701 dblp:conf/eenergy/HekkelmanP20 fatcat:htenbosgwjcwdjxxzx5ixocapa

Fair Division: The Computer Scientist's Perspective [article]

Toby Walsh
2020 arXiv   pre-print
I survey recent progress on a classic and challenging problem in social choice: the fair division of indivisible items.  ...  I discuss how a computational perspective has provided interesting insights into and understanding of how to divide items fairly and efficiently.  ...  I focus this survey on the fair division of indivisible goods, but I could have just as easily chosen the fair division of divisible goods.  ... 
arXiv:2005.04855v1 fatcat:syhptgav6rh7bcgaguxcriehxu

Variable Elimination in Binary CSPs (Extended Abstract)

Martin C. Cooper, Achref El Mouelhi, Cyril Terrioux
2020 Proceedings of the Twenty-Ninth International Joint Conference on Artificial Intelligence  
I focus this survey on the fair division of indivisible goods, but I could have just as easily chosen the fair division of divisible goods.  ...  For such reasons, results for the fair division of goods do not always map onto analogous results for the fair division of bads.  ... 
doi:10.24963/ijcai.2020/691 dblp:conf/ijcai/Walsh20 fatcat:i4h3p6o2tvcl7iu4ah33hk2nr4

How to be fairer

Conrad Heilmann, Stefan Wintein
2015 Synthese  
We confront the philosophical literature on fair division problems with axiomatic and game-theoretic work in economics.  ...  Firstly, we show that the proportionality method advocated in Curtis (in Analysis 74:417-57, 2014) is not implied by a general principle of fairness, and that the proportional rule cannot be explicated  ...  Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution  ... 
doi:10.1007/s11229-015-0967-y fatcat:wddad4t2wnd5tmev476traed6i

Challenges in Resource and Cost Allocation

Toby Walsh
2015 PROCEEDINGS OF THE THIRTIETH AAAI CONFERENCE ON ARTIFICIAL INTELLIGENCE AND THE TWENTY-EIGHTH INNOVATIVE APPLICATIONS OF ARTIFICIAL INTELLIGENCE CONFERENCE  
By means of two case studies, I argue that it is now timely to consider richer models for the fair division of resources and for the allocation of costs.  ...  Such models should have features like asynchronicity which reflect more of the true complexity of many fair division and cost allocation problems met in the real world.  ...  NICTA is supported by the Australian Government through the Department of Communications and the Australian Research Council through the ICT Centre of Excellence Program.  ... 
doi:10.1609/aaai.v29i1.9774 fatcat:bzyn74uosbclra5y2ijkd5gcfm

Fairness and efficiency in a subjective claims problem

Anita Gantner, Rudolf Kerschbamer
2016 Journal of Economic Behavior and Organization  
Successful in terms of both fairness and efficiency are two mechanisms that explicitly ask for an assessment of the partners' fair shares and that do not induce agents to exaggerate their assessment of  ...  The mechanisms differ with respect to the desirable properties they possess and they are compared in terms of efficiency and perceived allocative and procedural fairness.  ...  perceptions into a fair division of the joint profit.  ... 
doi:10.1016/j.jebo.2016.07.019 fatcat:adcihdlosvfxdau6azizt32yxi

Fair division with divisible and indivisible items [article]

Alexander Rubchinsky
2016 arXiv   pre-print
In the work the fair division problem for two participants in presence of both divisible and indivisible items is considered.  ...  The set of all divisions is formally described; it is demonstrated that fair (in terms of Brams and Taylor) divisions, unlikely the case where all the items are divisible, not always exist.  ...  In the case sg = 0 no equitably fair division exists; in the case sg = 1 the equitably fair division x, σ, found in Step 1, is the efficient division, but in this case the algorithm had to stop in Step  ... 
arXiv:1607.02423v1 fatcat:h6frpkljlfe7la2sewp6pcppcm
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