состоялось внеочередное заседание общемосковского научного семинара "МАТЕМАТИЧЕСКИЕ МЕТОДЫ АНАЛИЗА РЕШЕНИЙ В ЭКОНОМИКЕ, БИЗНЕСЕ И ПОЛИТИКЕ".

Report of Stefan Schmidt (Professor for Methods of Applied Algebra, University of Technology, Dresden) on theme: "An Algebraic Approach to Reflexive Games"

 Abstract:

  In our talk we have outlined how reflexive theory may be used to algebraically model those decision making procedures which take place in a social context. 
  Part one outlined main ideas of reflexive theory and will point out fundamental differences to classical systems theory. 
  Part two has been based on recent work by Vladimir Lefebvre and has modeled a reflexive agent in a social group. We solved certain boolean equations to derive the framework of decision making of an individual who is socially influenced by others. Illustrative examples has been given.  
  One difference to classical game theory is that we do not assume that an agent tries to "minimize his loss", but that his limitation
is a "prohibited benefit" -- prohibited by society.  
  Part three have sketched out an extension of the previous to the situation of intuitionistic decision making; finally, we have provided
a general category-theoretic framework.

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Руководители семинара: д.т.н., проф. Алескеров Фуад Тагиевич, д.т.н., проф. Подиновский Владислав Владимирович. 
Соруководитель семинара - д.т.н., проф. Миркин Борис Григорьевич.
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