{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,3,12]],"date-time":"2025-03-12T04:31:54Z","timestamp":1741753914595,"version":"3.38.0"},"reference-count":22,"publisher":"SAGE Publications","issue":"3","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["IDT"],"published-print":{"date-parts":[[2022,9,29]]},"abstract":"<jats:p>This paper concerns multi-criteria decision-making in a non-cooperative situation between two Decision Makers (DMs), where each of the DMs (players) has self-conflicting objectives. This situation is modeled as a non-zero-sum Multi-Objective Game (nzs-MOG). In the considered case, selecting a strategy depends on the objective preferences of the DM and the inherent uncertainty about the preferences of the other player. In contrast to traditional studies on such a situation, which fail to consider the strategies\u2019 performance trade-offs, here a set of rationalizable strategies is revealed for each of the players and their associated performance trade-offs are exposed and analyzed. Obtaining these strategies is done by an extension of the (worst-case) rationalizability solution concept from zero-sum MOGs to the considered general case of nzs-MOGs. In view of the aforementioned uncertainty about the other player, evaluating the rationalizable strategies involves comparisons between sets of payoff vectors. This causes a difficulty, when trying to analyze the alternative strategies by traditionalmulti-criteria decision-analysis techniques in which each alternative solution is commonly associated with only one payoff vector. To circumvent this difficulty, a technique is suggested, which transforms the set of payoff vectors of each strategy into a representative vector. To demonstrate the proposed technique, a nzs-MOG is devised and strategy analysis and selection is demonstrated, for each of the players, using the Analytical Hierarchy Process (AHP).<\/jats:p>","DOI":"10.3233\/idt-210209","type":"journal-article","created":{"date-parts":[[2022,9,6]],"date-time":"2022-09-06T15:48:04Z","timestamp":1662479284000},"page":"487-504","source":"Crossref","is-referenced-by-count":0,"title":["Decision analysis of rationalizable strategies in non-zero-sum multi-payoff games"],"prefix":"10.1177","volume":"16","author":[{"given":"Erella","family":"Eisenstadt-Matalon","sequence":"first","affiliation":[{"name":"Department of Mechanical Engineering, ORT Braude College of Engineering, Karmiel, Israel"}]},{"given":"Amiram","family":"Moshaiov","sequence":"additional","affiliation":[{"name":"School of Mechanical Engineering, Tel-Aviv University, Tel-Aviv, Israel"},{"name":"Sagol School of Neuroscience, Tel Aviv University, Tel-Aviv, Israel"}]}],"member":"179","reference":[{"key":"10.3233\/IDT-210209_ref1","first-page":"1","article-title":"Decision-making in non-cooperative games with conflicting self-objectives","author":"Eisenstadt","year":"2018","journal-title":"Journal of Multi-Criteria Decision Analysis."},{"key":"10.3233\/IDT-210209_ref2","doi-asserted-by":"crossref","first-page":"16","DOI":"10.1109\/TETCI.2016.2637410","article-title":"Novel solution approach for multi-objective attack-defense cyber games with unknown utilities of the opponent","author":"Eisenstadt","year":"2017","journal-title":"IEEE Transactions on Emerging Topics in Computational Intelligence."},{"key":"10.3233\/IDT-210209_ref3","doi-asserted-by":"crossref","unstructured":"Harel M, Matalon-Eisenstadt E, Moshaiov A. Solving multi-objective games using A-priori auxiliary criteria. In: Evolutionary Computation (CEC), 2017 IEEE Congress on. IEEE; 2017. pp.\u00a01428-1435.","DOI":"10.1109\/CEC.2017.7969471"},{"issue":"1","key":"10.3233\/IDT-210209_ref4","doi-asserted-by":"crossref","first-page":"1","DOI":"10.2140\/pjm.1956.6.1","article-title":"An analog of the minimax theorem for vector payoffs","volume":"6","author":"Blackwell","year":"1956","journal-title":"Pacific Journal of Mathematics."},{"key":"10.3233\/IDT-210209_ref5","unstructured":"Shapley LS. Equilibrium points in games with vector payoffs. RAND CORP SANTA MONICA CA. 1956."},{"issue":"2","key":"10.3233\/IDT-210209_ref6","first-page":"141","article-title":"A survey of solution concepts in multicriteria games","volume":"75","author":"Anand","year":"1995","journal-title":"J Indian Inst Sci."},{"key":"10.3233\/IDT-210209_ref7","unstructured":"Nishizaki I. 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Mutual rationalizability in vector-payoff games. In: International Conference on Evolutionary Multi-Criterion Optimization. Springer; 2019. pp.\u00a0593-604.","DOI":"10.1007\/978-3-030-12598-1_47"},{"issue":"1","key":"10.3233\/IDT-210209_ref18","doi-asserted-by":"crossref","first-page":"6","DOI":"10.1016\/S0899-8256(05)80015-6","article-title":"Backward induction and common knowledge of rationality","volume":"8","author":"Aumann","year":"1995","journal-title":"Games and Economic Behavior."},{"issue":"2","key":"10.3233\/IDT-210209_ref19","doi-asserted-by":"crossref","first-page":"117","DOI":"10.1109\/TEVC.2003.810758","article-title":"Performance assessment of multiobjective optimizers: An analysis and review","volume":"7","author":"Zitzler","year":"2003","journal-title":"Evolutionary Computation, IEEE Transactions on."},{"key":"10.3233\/IDT-210209_ref20","doi-asserted-by":"crossref","unstructured":"Avigad G, Branke J. Embedded evolutionary multi-objective optimization for worst case robustness. In: Proceedings of the 10th Annual Conference on Genetic and Evolutionary Computation. ACM; 2008. pp.\u00a0617-624.","DOI":"10.1145\/1389095.1389221"},{"key":"10.3233\/IDT-210209_ref21","doi-asserted-by":"crossref","unstructured":"Greco S, Figueira J, Ehrgott M. Multiple criteria decision analysis. vol.\u00a037. 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