Thus, a preventive assessment of the environmental risks of operation of anthropogenic facilities is necessary in the context of ensuring the environmental safety in relation to development of transport and supply chains. As a result of the study, an algorithm for assessing environmental risks was established and the methods for assessing environmental risks, as well as the approaches to ensuring the principles of environmental safety, were analyzed. The purpose of the study is to identify the optimal methods for assessing environmental risks in the context of environmental safety. This article addresses the analysis of modern approaches to assessment of environmental risks that arise during the operation of industrial facilities and the use of hazardous chemicals, as well as methods for quantitative and qualitative assessment of environmental risks regarding logistics and transport infrastructure. The rationality is however not contradictory with different risk aversion level and behavior. Table 9: Multiplicative quadratic damages in function of temperature and at a given point in time Table 10: Certainty equivalent with different utility function in case all the event would happen at the same time (in 2016) List of the figures: Figure 1: Frequency of option A choice with regard to risk aversion real payoff case Figure 2: Frequency of option A choice with regard to risk aversion hypothetical payoff case Figure 3: Frequency of option A choice with regard to risk aversion real and hypothetical 20x payoff case Figure 4: Results' comparison for the experiment and for the prediction, with a power-expo utility function and using Duncan Luce method along with MLE Figure 5: Results' comparison for the experiment and for the prediction, with a HARA utility function and using Duncan Luce method Figure 6: Output value for four utility functions over the same input range $ Figure 7: Definition of certainty equivalent Figure 8: Change in GDP par capita by 2100 compared to a world without climate change Figure 9: The Social Cost of Carbon 2015- 2050: IPCC four scenarios List of the appendices Appendix 1: Representation of the data used for the first experiment Appendix 2: VBA code for the first experiment ( MatLab code using the Duncan-Luce approach in order to find out the parameters for a HARA and a power expo utility function Appendix 10: certainty equivalent results Appendix 11: Scilab code which shows how a certainty equivalent is computedThroughout this paper we represent the preferences of agents with continuous utility functions, as it is commonly done in the literature, because we consider the agents are rational. Calibration with a CARA utility function a) Minimal value of the parameter for which the player switches from option A to B for the first time Table 1: Minimal necessary value of r when people change from option A to option B and given the decision i = 1 … 10 for different real payment value Table 2: Most likely theta value when dollar level of real payoff rises Table 3: Minimal necessary value of lambda for people to change from option A to option B and given the decision i = 1 … 10 for different real payment value Table 4: Best fitted (MLE) parameter value for alpha, r and mu for power-expo function Table 5: Fit value for the parameters with an optimization program Table 6: Output value for different utility function on the same input Table 7: Computation of certainty equivalent for different utility function and lotteries Table 8: Pareto probability that temperature exceeds S =. Calibration with a CRRA utility function a) Minimal value of the parameter for which the player switches from option A to B for the first time b) Testing of the hypothesis that people behave with CRRA utility function 2.
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