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Combinatorial group theory and cryptography
Ferov, Michal ; Příhoda, Pavel (advisor) ; Růžička, Pavel (referee)
In the presented work we focus on applications of decision problems from combinatorial group theory. Namely we analyse the Shpilrain-Zapata pro- tocol. We give formal proof that small cancellation groups are good platform for the protocol because the word problem is solvable in linear time and they are generic. We also analyse the complexity of the brute force attack on the protocol and show that in a theoretical way the protocol is immune to attack by adversary with arbitrary computing power.
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Combinatorial group theory and cryptography
Ferov, Michal ; Příhoda, Pavel (advisor) ; Růžička, Pavel (referee)
In the presented work we focus on applications of decision problems from combinatorial group theory. Namely we analyse the Shpilrain-Zapata pro- tocol. We give formal proof that small cancellation groups are good platform for the protocol because the word problem is solvable in linear time and they are generic. We also analyse the complexity of the brute force attack on the protocol and show that in a theoretical way the protocol is immune to attack by adversary with arbitrary computing power.
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Optimal illusion of control and related perception biases
Gossner, O. ; Steiner, Jakub
We study perception biases arising under second-best perception strategies. An agent correctly observes a parameter that is payoff-relevant in many decision problems that she encounters in her environment but is unable to retain all the information until her decision. A designer of the decision process chooses a perception strategy that determines the distribution of the perception errors. If some information loss is unavoidable due to cognition constraints, then (under additional conditions) the optimal perception strategy exhibits the illusion of control, overconfidence, and optimism.
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Management of Field Workers of a selected Firm
Kameník, Lukáš ; Černý, Jan (advisor) ; Vlček, Oldřich (referee)
This master thesis is devoted to the elements and principles of management. The master thesis deals with the management of field workers of a selected company and subsequent optimization of this procedure. The main aim of master thesis is to optimize the selected decision problem. Based on the analysis of field workers activities is determined significant managerial decision problem. To solve this decision problem is compiled mathematical model and the individual alternative solutions are determined. Based on the individual steps of managerial decision the final recommendations of variant for solving this decision problem is made. The work is devided into two parts, theoretical and practical part. In the theoretical part we acquaint ourselves with the problems with the help of scientific literature. The practical part deals with the use of the scientific literature in practice in order to optimize decision-making problem and management field workers of a selected company.
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