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BSc./Mgr./PhD. Topic: Normative theory and algorithms of distributed decision making under uncertainty and incomplete knowledge (Kárný)
Real processes result from interactions of relatively independently deciding but mutually interacting parts, modelled predominantly as multi-agents’ systems. A sufficiently complete, normative and algorithmically implementable theory is still missing, which is dearly paid by effort and quality in solving specific problems. Preliminary results indicate that such a theory can be created by combining Bayesian decision making, dynamic probabilistic modelling and fully probabilistic design of decision strategies. This still new research area is widely applicable, for instance, in technology or e-democracy. It faces a range of theoretical, optimisation, algorithmic, experimental and software problems suitable for 2-3 PhD. theses and a range of MSc. and BSc. theses. Their content can be tailored to the student interests from purely theoretical up to software or a specific application oriented levels.
1. Kárný Miroslav, Guy Tatiana V.: On dynamic decision-making scenarios with multiple participants. In: Multiple Participant Decision Making. (Andrýsek J., Kárný M., Kracík J. eds.). ( International Series on Advanced Intelligence. 9). Advanced Knowledge International, Adelaide 2004, pp. 17-28.
2. Kárný Miroslav, Guy Tatiana V.: Fully probabilistic control design, Systems & Control Letters, 55:4, 259-265, 2006
3. Kárný Miroslav et al, Optimized Bayesian Dynamic Advising: Theory and Algorithms, Springer, London, 2006
4. Kárný Miroslav, Guy Tatiana V., Bodini A., Ruggeri F.: Cooperation via sharing of probabilistic information, Int. Journal of Computational Intelligence Studies, p. 139-162, 2009
5. Kárný Miroslav: Axiomatisation of Fully Probabilistic Design Revisited , Systems and Control Letters vol.141, 2020
6. Kárný Miroslav, Guy Tatiana V.: Preference Elicitation within Framework of Fully Probabilistic Design of Decision Strategies , IFAC-PapersOnLine. Volume 52, Issue 29 - Proceedings of the 13th IFAC Workshop on Adaptive and Learning Control Systems 2019, p. 239-244, IFAC Workshop on Adaptive and Learning Control Systems 2019 /13./, 2019
7. Kárný Miroslav: Prescriptive Inductive Operations On Probabilities Serving to Decision-Making Agents, IEEE Trans. on Systems Man Cybernetics-Systems vol.52, 4 p. 2110-2120, 2022