THE DECISION-MAKING PROCESS IN THE GAME ANTAGONISTIK'S MATHEMATICAL MODEL

Аннотация

modeli asosida qaror qabul qilish strategiyasini tahlil qiladi ekologik xavfni antagonistik o'yin o'yinlar moddaning nazariyasini kamaytirish jarayoni. Davlat va korxonalar o'rtasidagi qarama-qarshi manfaatlarga erishish jadval, optimal strategiyalar va minimax usullari bilan ifodalangan, shuningdek, sof maxi aniqlanadi. Egar nuqtasi borligi uchun nazorat va atrof-muhit siyosati bo'yicha xulosalar va tavsiyalar ishlab chiqaradi qilindi. Tadqiqot natijalari atrof-muhitdasamarali qarorlar qabul qilishga xizmat qiladi. Kalitso'zlar: o'yin nazariyasi, o'yin antagonistik, ekologik xavf, optimal strategiya egar nuqtasi, shuningdek qarang: maxi usuli, qaror qabul qilish, nol sumli o'yin, atrof-muhitni boshqarish, strategik modellashtirish Annotation: the article analyzes the decision-making strategies based on the model of the process in reducing environmental risks theo antagonistic game of the game. The table opposite interests between the state and the achievement are expressed through the enterprise, and the optimal strategies are determined by the minimax metho maxi visited and also on the net. The existence of a point is investigated and conclusions and proposals for environmental policy are seddl developer. The result of study to make effective decisions your object in the server environment. Keywords: theo Game,Antagonistic game,environmental risks,the optimal strategy is not Seddl point,see also: metho maxi,your decision-making Zero sum game,Environmental management,strategicmodel Annotasiya:prinyatiya resheniy na osnove teorii v v igrovoy igrt strategy analiziruyutsya state model is snijeniya ekologicheskogo prosess antagonisticheskoy matter the risk. Mejdu gosudarstvom I cherez tablisu viigrishey predpriyatiem virajayutsya protivopolojnie the interior of the optimal strategy are soon meto a matter chistie opredelyayutsya I minimaksa. I ekologicheskoy I nalichie tochka seddla proveryaetsya virabativayutsya predlojeniya politik vivod is po. Rezultati beginning prinyatiya resheniy effektivnix ekologicheskix slujat issledovaniy. page1711 INTERNATIONAL JOURNAL OF ARTIFICIAL INTELLIGENCE ISSN:2692-5206,ImpactFactor:12,23 AmericanAcademicpublishers,volume05,issue05,2025 Journal: https://www.academicpublishers.org/journals/index.php/ijai Klyuchevie slovo:igrt any theory,Antagonisticheskaya igrt,Ekologicheskaya opasnost,Optimalnaya strategy,Seddl tochka,other methods,Prinyatie resheniya,Igrt nulevoy s roll,Ekologicheskiy management,modelirovanie Strategicheskoe To enter .The environmental problems of mankind today have become one of the most pressing issues in the front. The unfolding activities of industrial enterprises as a result of pollution, waste and the negative effects of harmful substances on the nature poses a threat to environmental stability. In such a situation producers to reduce the environmental balance between the state and the decisions on xavfni is born of a need to find. These decisions are often a conflict of interest with both sides to achieve their goals and seeks was yesterday. This mathematical game theory to the analysis of the context of the position the model will serve as an effective means of antagonistik game. In this article the problem of two players to reduce environmental xavfni — between public and modelling of industrial enterprises in the form of a zero sum game. Through the identification of optimal strategies in environmental policy the possibilitytomake effectiveand sustainabledecisions are studied. Literature analysis Antagonistik o’optimal strategies in the yin to determine the presence of seddl point, as well as strategies to limit the collection of birth and compact terms, Karush-kuhn-tucker (CC) have been interpreted on the basis of the terms of. In this respect, whose basi T., “Dynamic noncooperative game Theo” game and Owenning G. “Theo Game called” monograph plays a particular role. The evolution of the development of this game in game theory, strategic decision making in a changing environment, principles oflinear and analytical form of charging azero sum gameantagonistik has extensivecoverage ofthealgorithm. Research methodology This research is based on game theory modelling of antagonistik xavfni reduce environmental issue. Initially, the main government and industry as voters decide between entities o’strategic zaro was to determine the relationship. Each one of them for complex decisions, constraints, and profit/loss functions shakllantirildi. In the model, zero-yig’the indi game antagonistik the useofstructures, thus,each sidestrives ownstrategy toselect themost comfortable. For research, mathematical modeling and optimization methods — Lagrange multiplikator of Simplex methods, the technique of identifying optimal solutions seddl point through the use of led. The data collection process of the current environmental standards, is based on statistics andmonitoringof wasteproduction. The process of research — based on analysis of mathematical models of comple