In this paper we propose a new mathematical model for joint Blind Deconvolution and Inpainting. The main objective is the treatment of blurred images with missing parts, through the game theory framework, in particular, a Nash game, we define two players: Player 1 handles the image intensity while Player 2, operates on the blur kernel. The two engage in a game until the equilibrium is reached. Finally, we provide some numerical examples: we compare the efficiency of our proposed approach to other existing methods in the literature that deals with Blind Deconvolution and Inpainting separa
A new approach to user behavior modeling based on Game Theory was proposed. It was developed to consider initial intensity, a strategy applied, a profit gained, and resources utilized as inalienable attributes of users' behavior. The approach covers various aspects of users' motivation and rational actions, not only a statistical image of a pool's summary. Additionally, the given model is strongly connected to profit and loss parameters by operating with profit and utilized resources as parts of model inputs. The proposed model can enable efficient modeling aimed to validate an economic
We have considered the peculiarities of mathematical models construction, which describe different strategies of the competitive companies` behavior at the market of tourist services. We have found that at the market of service provision any subject must act in accordance with the established rules of behavior and interaction of participants of this market. We have developed mathematical models of behavioral strategies and interaction between two competing companies when providing one travel service.