In this document are solved issues of decision-making, process in case of solving difficult problems and to determine the most suitable alternatives for personal benefits. This document is focused on conflict situations with several participants. These situations we can call by the term from the theory of games as a game with nature. Our intention was to use model, which is typical for games in conditions of uncertainty, where the only opponent of every single subject is the nature with its random effects. This document is oriented to achieve the highest level of profit with combination of growing more types of plants and doesn ' t matter how the nature was behaving. Slovak territory is diversified and therefore split into several agricultural subcategories. To assure that results of the analysis are reliable as much as possible, we choose one area with more narrow characteristics. We paid attention to corn area of Slovak Republic. The main goal is to identify optimal structure of crop production in the selected area. maximization of the benefits by using the apparat of game theories and take a statement on the impact of subventions to determine the optimal plan of plant production and obtained benefits. It means Wald model, Savage model and Agrawal - Heady principle, which are based especially for linear programming. Using these models, we can interpret also the impact of a possible deviation from the recommended strategy trough shadow price and reduces cost. Based on our research, we can conclude that wheat should occupy only little more than 1/4 of the soil. Corn grain around 16.6%, barley 12% and sunflower 10%. Rest of crop should occupy less than 10%. Growing of oats, peas, grape and other cereals is consider as ineffective. Subsidies do not have big impact on the definition of optimal sowing plan.