Game-Theoretic Approach to Weighted Rank Aggregation Based on Strategic Interactions Among Ranker
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Abstract
Rank Aggregation (RA) refers to the process of combining multiple rankings from a set of candidate base rankers to achieve a better overall ranking. It has been widely applied across various domains and plays a critical role in integrating information from different biological studies addressing a common problem. In biological studies, due to the high heterogeneity of sources, the base rankers are often partial, lengthy, and of varying quality, and the ground-truth rankings are typically unavailable. This paper proposes a novel model for RA in biological and biomedical applications, modeling the combination of multiple rankings from different sources as a non-cooperative game among rankers. Unlike traditional methods that treat rankers as independent and passive entities, the proposed approach models each ranker as a strategic agent seeking to maximize its own utility and influence on the final aggregated ranking. The proposed utility function integrates similarity to the final ranking, agreement with other rankers, and the cost of generating a ranking. An iterative algorithm based on best-response dynamics is used to update each ranker's weight according to their current utility, leading to a stable aggregated output. To demonstrate the effectiveness of the proposed method in solving biological problems, three benchmark datasets—Breast, microRNA, and Prostate—were used. Experimental results indicate that the proposed method outperforms traditional RA techniques in both effectiveness and robustness.
Keywords
Rank aggregation Biological studies Game theory Non-cooperative game Strategic interaction Biological dataReferences (30)
- [1] Li, X., Wang, X., & Xiao, G. (2019). A comparative study of rank aggregation methods for partial and top ranked lists in genomic applications. Briefings in bioinformatics, 20(1), 178–189. https://doi.org/10.1093/bib/bbx101
- [2] Deng, K., Han, S., Li, K. J., & Liu, J. S. (2014). Bayesian aggregation of order-based rank data. Journal of the american statistical association, 109(507), 1023–1039. https://doi.org/10.1080/01621459.2013.878660
- [3] Soneson, C., & Fontes, M. (2012). A framework for list representation, enabling list stabilization through incorporation of gene exchangeabilities. Biostatistics, 13(1), 129–141. https://doi.org/10.1093/biostatistics/kxr023
- [4] Chen, Q., Zhou, X. J., & Sun, F. (2015). Finding genetic overlaps among diseases based on ranked gene lists. Journal of computational biology, 22(2), 111–123. https://doi.org/10.1089/cmb.2014.0149
- [5] Lin, S., & Ding, J. (2009). Integration of ranked lists via cross entropy Monte Carlo with applications to mRNA and microRNA studies. Biometrics, 65(1), 9–18. https://doi.org/10.1111/j.1541-0420.2008.01044.x
- [6] Lin, S. (2010). Rank aggregation methods. Wiley interdisciplinary reviews: computational statistics, 2(5), 555–570. https://doi.org/10.1002/wics.111
- [7] Aslam, J. A., & Montague, M. (2001). Models for metasearch. In Proceedings of the 24th annual international ACM SIGIR conference on Research and development in information retrieval (pp. 276-284). https://doi.org/10.1145/383952.384007
- [8] Liu, Y., Liu, T. Y., Ma, Z., & Li, H. (2007). Supervised rank aggregation. In Proceedings of the 16th international conference on World Wide Web, 471-490. https://doi.org/10.1145/1242572.1242638
- [9] Aziz, H. (2010). Multiagent systems: algorithmic, game-theoretic, and logical foundations by y. shoham and k. leyton-brown cambridge university press, 2008. ACM sigact news, 41(1), 34–37. https://doi.org/10.1145/1753171.1753181
- [10] Vianzon, V. V, Hanson, R. M., Garg, I., Joseph, G. J., & Rogers, L. M. (2023). Rank aggregation of independent genetic screen results highlights new strategies for adoptive cellular transfer therapy of cancer. Frontiers in immunology, 14, 1235131. https://doi.org/10.3389/fimmu.2023.1235131
- [11] Hemandhar Kumar, S., Tapken, I., Kuhn, D., Claus, P., & Jung, K. (2024). bootGSEA: a bootstrap and rank aggregation pipeline for multi-study and multi-omics enrichment analyses. Frontiers in bioinformatics, 4, 1380928. https://doi.org/10.3389/fbinf.2024.1380928
- [12] Peng, C., Huang, J., Li, M., Liu, G., Liu, L., Lin, J., ... & Chen, X. (2024). Uncovering periodontitis-associated markers through the aggregation of transcriptomics information from diverse sources. Frontiers in Genetics, 15, 1398582. https://doi.org/10.3389/fgene.2024.1398582
- [13] Vargas-Rondón, N., González-Giraldo, Y., García Fonseca, Á. Y., Gonzalez, J., & Aristizabal-Pachon, A. F. (2025). MicroRNAs signatures as potential molecular markers in mild cognitive impairment: a meta-analysis. Frontiers in Aging Neuroscience, 16, 1524622. https://doi.org/10.3389/fnagi.2024.1524622
- [14] Zhu, M., Tang, M., & Du, Y. (2023). Identification of TAC1 associated with Alzheimer’s disease using a robust rank aggregation approach. Journal of alzheimer’s disease, 91(4), 1339–1349. https://doi.org/10.3233/JAD-220950
- [15] Chebotarev, P., & Shamis, E. (2006). Characterizations of scoring methods for preference aggregation. ArXiv preprint math/0602522. https://doi.org/10.48550/arXiv.math/0602522
- [16] Rapoport, A. (2012). Rapoport, A. (Ed.). (2012). Game theory as a theory of conflict resolution. Springer Science & Business Media. https://doi.org/10.1007/978-94-010-2161-6
- [17] Ma, K., Xu, Q., Zeng, J., Li, G., Cao, X., & Huang, Q. (2022). A tale of hodgerank and spectral method: Target attack against rank aggregation is the fixed point of adversarial game. IEEE transactions on pattern analysis and machine intelligence, 45(4), 4090–4108. https://doi.org/10.1109/TPAMI.2022.3190939
- [18] Ma, K., Xu, Q., Zeng, J., Liu, W., Cao, X., Sun, Y., & Huang, Q. (2024). Sequential manipulation against rank aggregation: theory and algorithm. IEEE transactions on pattern analysis and machine intelligence, 46(12), 9353–9370. https://doi.org/10.1109/TPAMI.2024.3416710
- [19] DeConde, R. P., Hawley, S., Falcon, S., Clegg, N., Knudsen, B., & Etzioni, R. (2006). Combining results of microarray experiments: a rank aggregation approach. Statistical applications in genetics and molecular biology, 5(1), 1204. https://doi.org/10.2202/1544-6115.1204
- [20] Desmedt, C., Piette, F., Loi, S., Wang, Y., Lallemand, F., Haibe-Kains, B., ... & TRANSBIG Consortium. (2007). Strong time dependence of the 76-gene prognostic signature for node-negative breast cancer patients in the TRANSBIG multicenter independent validation series. Clinical cancer research, 13(11), 3207-3214. https://doi.org/10.1158/1078-0432.CCR-06-2765
- [21] Shi, L., Campbell, G., Jones, W. D., Campagne, F., Wen, Z., Walker, S. J., ... & Furlanello, C. (2010). The MicroArray Quality Control (MAQC)-II study of common practices for the development and validation of microarray-based predictive models. Nature biotechnology, 28(8). https://doi.org/10.1038/nbt.1665%0A
- [22] Tabchy, A., Valero, V., Vidaurre, T., Lluch, A., Gomez, H., Martin, M., ... & Pusztai, L. (2010). Evaluation of a 30-gene paclitaxel, fluorouracil, doxorubicin, and cyclophosphamide chemotherapy response predictor in a multicenter randomized trial in breast cancer. Clinical Cancer Research, 16(21), 5351-5361. https://doi.org/10.1158/1078-0432.CCR-10-1265
- [23] John, B., Enright, A. J., Aravin, A., Tuschl, T., Sander, C., & Marks, D. S. (2004). Human microRNA targets. PLoS biology, 2(11), e363. https://doi.org/10.1371/journal.pbio.0030264
- [24] Lewis, B. P., Burge, C. B., & Bartel, D. P. (2005). Conserved seed pairing, often flanked by adenosines, indicates that thousands of human genes are microRNA targets. Cell, 120(1), 15–20. https://doi.org/10.1016/j.cell.2004.12.035
- [25] Krek, A., Grün, D., Poy, M. N., Wolf, R., Rosenberg, L., Epstein, E. J., ... & Rajewsky, N. (2005). Combinatorial microRNA target predictions. Nature genetics, 37(5), 495-500. https://doi.org/10.1038/ng1536%0A%0A
- [26] Dhanasekaran, S. M., Barrette, T. R., Ghosh, D., Shah, R., Varambally, S., Kurachi, K., … Chinnaiyan, A. M. (2001). Delineation of prognostic biomarkers in prostate cancer. Nature, 412(6849), 822–826. https://doi.org/10.1038/35090585%0A%0A
- [27] Luo, J., Duggan, D. J., Chen, Y., Sauvageot, J., Ewing, C. M., Bittner, M. L., ... & Isaacs, W. B. (2001). Human prostate cancer and benign prostatic hyperplasia: molecular dissection by gene expression profiling. Cancer research, 61(12), 4683-4688. http://aacrjournals.org/cancerres/article-pdf/61/12/4683/2486813/4683.pdf
- [28] Welsh, J. B., & Sapinoso, L. M. (2001). Su Al, Kern SG, Wang-Rodriguez J, Moskaluk CA, Frierson HF, Hampton GM: Analysis of gene expression identifies candidate markers and pharmacological targets in prostate cancer. Cancer res, 61, 5974–5978. https://doi.org/10.1186/1471-2407-10-165%0A%0A
- [29] Singh, D., Febbo, P. G., Ross, K., Jackson, D. G., Manola, J., Ladd, C., ... & Sellers, W. R. (2002). Gene expression correlates of clinical prostate cancer behavior. Cancer cell, 1(2), 203-209. https://doi.org/10.1016/S1535-6108(02)00030-2
- [30] True, L., Coleman, I., Hawley, S., Huang, C. Y., Gifford, D., Coleman, R., ... & Nelson, P. S. (2006). A molecular correlate to the Gleason grading system for prostate adenocarcinoma. Proceedings of the National Academy of Sciences, 103(29), 10991-10996. https://doi.org/10.1073/pnas.0603678103