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Manipulating Gale-Shapley Algorithm: Preserving Stability and Remaining Inconspicuous

Rohit Vaish, Dinesh Garg
<span title="">2017</span> <i title="International Joint Conferences on Artificial Intelligence Organization"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/vfwwmrihanevtjbbkti2kc3nke" style="color: black;">Proceedings of the Twenty-Sixth International Joint Conference on Artificial Intelligence</a> </i> &nbsp;
We study the problem of manipulation of the men-proposing Gale-Shapley algorithm by a single woman via permutation of her true preference list.  ...  Second, we identify a class of optimal manipulations called inconspicuous manipulations which, in addition to preserving stability, are also nearly identical to the true preference list of the manipulator  ...  The algorithm terminates when no single agents remain. Gale and Shapley [1962] showed that GS algorithm always terminates with a stable matching.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.24963/ijcai.2017/62">doi:10.24963/ijcai.2017/62</a> <a target="_blank" rel="external noopener" href="https://dblp.org/rec/conf/ijcai/VaishG17.html">dblp:conf/ijcai/VaishG17</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/atnkcf6imnbs7jr7qynhvmpixi">fatcat:atnkcf6imnbs7jr7qynhvmpixi</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20180721062228/https://www.ijcai.org/proceedings/2017/0062.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/62/48/62481de8fb3e30da299063153903b5dae0f643df.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.24963/ijcai.2017/62"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> Publisher / doi.org </button> </a>

Coalitional Permutation Manipulations in the Gale-Shapley Algorithm [article]

Yuan Deng, Weiran Shen, Pingzhong Tang
<span title="2017-11-21">2017</span> <i > arXiv </i> &nbsp; <span class="release-stage" >pre-print</span>
In this paper, we consider permutation manipulations by any subset of women in the Gale-Shapley algorithm. This paper is motivated by the college admissions process in China.  ...  We present an efficient algorithm to find a strategy profile such that the induced matching is stable and Pareto-optimal while the strategy profile itself is inconspicuous.  ...  Introduction Stability has been a central concept in economic design, ever since the seminal work by Gale and Shapley [9] .  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener" href="https://arxiv.org/abs/1502.07823v4">arXiv:1502.07823v4</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/td2bxxs3p5dcpjrq2zlo57ukje">fatcat:td2bxxs3p5dcpjrq2zlo57ukje</a> </span>
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Accomplice Manipulation of the Deferred Acceptance Algorithm [article]

Hadi Hosseini, Fatima Umar, Rohit Vaish
<span title="2020-12-08">2020</span> <i > arXiv </i> &nbsp; <span class="release-stage" >pre-print</span>
The deferred acceptance algorithm is an elegant solution to the stable matching problem that guarantees optimality and truthfulness for one side of the market.  ...  We show that the optimal manipulation strategy for an accomplice comprises of promoting exactly one woman in his true list (i.e., an inconspicuous manipulation).  ...  RV acknowledges support from ONR#N00014-171-2621 while he was a liated with Rensselaer Polytechnic Institute, and is currently supported by project no.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener" href="https://arxiv.org/abs/2012.04518v1">arXiv:2012.04518v1</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/v5j5jjbyonbvdodqzov6y564pa">fatcat:v5j5jjbyonbvdodqzov6y564pa</a> </span>
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Manipulation with Domino Effect for Cache- and Buffer-Enabled Social IIoT: Preserving Stability in Tripartite Graphs

Yanjing Sun, Bowen Wang, Song Li, Zhi Sun, Hien M. Nguyen, Trung Q. Duong
<span title="">2019</span> <i title="Institute of Electrical and Electronics Engineers (IEEE)"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/lxfdtuyn4nhhtevm3datmysrpa" style="color: black;">IEEE Transactions on Industrial Informatics</a> </i> &nbsp;
Our proposed approach to find a stable ternary matching is based on the Gale-Shapley (GS) algorithm in [19] and MSU algorithm in [6] for tripartite graphs, by iteratively and pairwisely binding all  ...  The authors in [16] proposed an interesting standpoint that a single woman can manipulate the men-proposing Gale-Shapley (GS) algorithm in [19] to obtain the women-optimal matching result, which motived  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1109/tii.2019.2935537">doi:10.1109/tii.2019.2935537</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/f574yijpyjhdrhbr27dsgi2v7a">fatcat:f574yijpyjhdrhbr27dsgi2v7a</a> </span>
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Accomplice Manipulation of the Deferred Acceptance Algorithm

Hadi Hosseini, Fatima Umar, Rohit Vaish
<span title="">2021</span> <i title="International Joint Conferences on Artificial Intelligence Organization"> Proceedings of the Thirtieth International Joint Conference on Artificial Intelligence </i> &nbsp; <span class="release-stage">unpublished</span>
The deferred acceptance algorithm is an elegant solution to the stable matching problem that guarantees optimality and truthfulness for one side of the market.  ...  We show that the optimal manipulation strategy for an accomplice comprises of promoting exactly one woman in his true list (i.e., an inconspicuous manipulation).  ...  RTI4001 of the Department of Atomic Energy, Government of India, and Prof. R Narasimhan postdoctoral award. Proceedings of the Thirtieth International Joint Conference on Artificial Intelligence  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.24963/ijcai.2021/33">doi:10.24963/ijcai.2021/33</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/tpriinmhcvfmrk5oqyd7veryla">fatcat:tpriinmhcvfmrk5oqyd7veryla</a> </span>
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Two for One $\&$ One for All: Two-Sided Manipulation in Matching Markets [article]

Hadi Hosseini, Fatima Umar, Rohit Vaish
<span title="2022-01-01">2022</span>
We also study the conditions under which stability of the resulting matching is preserved.  ...  Our work investigates "two-sided" manipulation of the deferred acceptance algorithm where the misreporting agent and the manipulator (or beneficiary) are on different sides.  ...  Acknowledgments Hadi Hosseini acknowledges support from NSF IIS grants #2052488 and #2107173.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.48550/arxiv.2201.08774">doi:10.48550/arxiv.2201.08774</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/2q73zodxarezvhbxzm3loppeui">fatcat:2q73zodxarezvhbxzm3loppeui</a> </span>
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Electronic Markets and Auctions (Dagstuhl Seminar 13461) Computational Models of Language Meaning in Context (Dagstuhl Seminar 13462) Synchronous Programming (Dagstuhl Seminar 13471) Global Measurement Framework (Dagstuhl Seminar 13472) Unleashing Operational Process Mining (Dagstuhl Seminar 13481) Forensic Computing (Dagstuhl Seminar 13482)

Saul Greenberg, Kasper Hornbaek, Aaron Quigley, Harald Reiterer, Roman, Yishay Mansour, Benny Moldovanu, Noam Nisan, Berthold, Hans Kamp, Alessandro Lenci, James (+14 others)
<span title="">2013</span> <span class="release-stage">unpublished</span>
However, it still remains an open research area and its place in HCI needs to be better understood. Acknowledgements.  ...  Two EC FP7 research projects, Leone and mPlane, kindly supported the social event of the seminar.  ...  Gonczarowski Gale and Sotomayor (1985) have shown that in the Gale-Shapley matching algorithm (1962), the proposed-to side W (referred to as women there) can strategically force the W-optimal stable  ... 
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<a target="_blank" rel="noopener" href="https://web.archive.org/web/20180520230358/http://drops.dagstuhl.de/opus/volltexte/2014/4512/pdf/dagrep-v003-i011-complete.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/14/3f/143f48b7999b355fa4d18c80aa74e9d01fdc154e.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a>