The article analyzes the nature of multi-agent markets and suggests a new framework based on hierarchical matching and decision architecture. Furthermore, the framework adopts weighted tree similarity algorithms to obtain a more detailed perspective of the agents’ interaction and preferences. The article describes the theoretical background of fuzzy similarity measures based on trees and introduces a new weighted tree similarity algorithm that enables assessment of the agent preferences and characteristics by employing fuzzy representations and hierarchy. Therefore, it fosters better and specific matching decisions that can be made. In addition, the article examines whether and how the Stackelberg equilibrium, a form of game theory, can help to enhance the efficiency of the interactions and decisions of the agents. The main conclusions in this article include the creation of the new weighted tree similarity algorithm for multi-agent markets, the creation of the hierarchical matching and decision system, and the verification that the proposed system significantly improves the efficiency of interactions between agents in the market. The effectiveness of these conclusions is supported by case and empirical evidence, which further emphasizes the applicability and the possibility of the projected framework in real-world market scenarios. This is beneficial in providing significant information concerning the improvement of the market forces and decision making.
Keywords
Multi-Agent Markets, Weighted Tree Similarity, Multi-Agent Systems, Hierarchical Matching, Fuzzy Representations, Game Theory, Market Efficiency.
I. N. Durbach and T. J. Stewart, “Modeling uncertainty in multi-criteria decision analysis,” European Journal of Operational Research, vol. 223, no. 1, pp. 1–14, Nov. 2012, doi: 10.1016/j.ejor.2012.04.038.
R. C. Garcia, J. Contreras, B. C. Macedo, D. da S. Monteiro, and M. L. Barbosa, “Finding Multiple Equilibria for Raiffa–Kalai–Smorodinsky and Nash Bargaining Equilibria in Electricity Markets: A Bilateral Contract Model,” Designs, vol. 5, no. 1, p. 3, Jan. 2021, doi: 10.3390/designs5010003.
L. J. Ratliff, S. A. Burden, and S. S. Sastry, “On the Characterization of Local Nash Equilibria in Continuous Games,” IEEE Transactions on Automatic Control, vol. 61, no. 8, pp. 2301–2307, Aug. 2016, doi: 10.1109/tac.2016.2583518.
R. M. Heilman, L. G. Crişan, D. Houser, M. Miclea, and A. C. Miu, “Emotion regulation and decision making under risk and uncertainty.,” Emotion, vol. 10, no. 2, pp. 257–265, Apr. 2010, doi: 10.1037/a0018489.
B. Wang, Y. Wu, and K. J. R. Liu, “Game theory for cognitive radio networks: An overview,” Computer Networks, vol. 54, no. 14, pp. 2537–2561, Oct. 2010, doi: 10.1016/j.comnet.2010.04.004.
H. Kebriaei, V. J. Majd, and A. Rahimi‐Kian, “A NEW AGENT MATCHING SCHEME USING AN ORDERED FUZZY SIMILARITY MEASURE AND GAME THEORY,” Computational Intelligence, vol. 24, no. 2, pp. 108–121, May 2008, doi: 10.1111/j.1467-8640.2008.00324.x.
P. J. McMurdie and S. Holmes, “phyloseq: An R Package for Reproducible Interactive Analysis and Graphics of Microbiome Census Data,” PLoS ONE, vol. 8, no. 4, p. e61217, Apr. 2013, doi: 10.1371/journal.pone.0061217.
V. C. Bhavsar, H. Boley, and L. Yang, “A Weighted‐Tree Similarity Algorithm for Multi‐Agent Systems in E‐Business Environments,” Computational Intelligence, vol. 20, no. 4, pp. 584–602, Oct. 2004, doi: 10.1111/j.0824-7935.2004.00255.x.
S. Stankov, Biology Direct, vol. 1, no. 1, p. 5, 2006, doi: 10.1186/1745-6150-1-5.
S. Guindon, J.-F. Dufayard, V. Lefort, M. Anisimova, W. Hordijk, and O. Gascuel, “New Algorithms and Methods to Estimate Maximum-Likelihood Phylogenies: Assessing the Performance of PhyML 3.0,” Systematic Biology, vol. 59, no. 3, pp. 307–321, Mar. 2010, doi: 10.1093/sysbio/syq010.
M. Insley, “A Real Options Approach to the Valuation of a Forestry Investment,” Journal of Environmental Economics and Management, vol. 44, no. 3, pp. 471–492, Nov. 2002, doi: 10.1006/jeem.2001.1209.
S. Mandal and J. Maiti, “Risk analysis using FMEA: Fuzzy similarity value and possibility theory based approach,” Expert Systems with Applications, vol. 41, no. 7, pp. 3527–3537, Jun. 2014, doi: 10.1016/j.eswa.2013.10.058.
I. Lampropoulos, T. Alskaif, J. Blom, and W. van Sark, “A framework for the provision of flexibility services at the transmission and distribution levels through aggregator companies,” Sustainable Energy, Grids and Networks, vol. 17, p. 100187, Mar. 2019, doi: 10.1016/j.segan.2018.100187.
C. Zhao, Y. Tu, Z. Lai, F. Shen, H. T. Shen, and D. Miao, “Salience-Guided Iterative Asymmetric Mutual Hashing for Fast Person Re-Identification,” IEEE Transactions on Image Processing, vol. 30, pp. 7776–7789, 2021, doi: 10.1109/tip.2021.3109508.
K. Tuyls and S. Parsons, “What evolutionary game theory tells us about multiagent learning,” Artificial Intelligence, vol. 171, no. 7, pp. 406–416, May 2007, doi: 10.1016/j.artint.2007.01.004.
J. Riehl, P. Ramazi, and M. Cao, “Incentive-Based Control of Asynchronous Best-Response Dynamics on Binary Decision Networks,” IEEE Transactions on Control of Network Systems, vol. 6, no. 2, pp. 727–736, Jun. 2019, doi: 10.1109/tcns.2018.2873166.
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The authors confirm contribution to the paper as follows:
Conceptualization: Anna Recchi and Minu Balakrishnan;
Methodology: Anna Recchi;
Writing-Original Draft Preparation: Anna Recchi and Minu Balakrishnan;
Investigation: Anna Recchi and Minu Balakrishnan;
Supervision: Minu Balakrishnan;
Validation: Anna Recchi and Minu Balakrishnan;
Writing- Reviewing and Editing: Anna Recchi and Minu Balakrishnan;
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Minu Balakrishnan
Department of Information Technology, Sri Eshwar College of Engineering, Coimbatore, India.
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Anna Recchi and Minu Balakrishnan, “Weighted Tree Similarity Based Optimization for Agent Matching in Multi Agent Markets”, Journal of Computer and Communication Networks, pp. 187-196, 2025, doi: 10.64026/JCCN/2025018.