Multicriteria Analysis in Problem Solving and Structural Complexity

Korotkich, Victor

doi:10.1007/978-1-4757-2383-0_5

Cited by 9 publications

(2 citation statements)

References 3 publications

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“…It specifies a threshold point dividing the interval of current distances passed by the agents into two parts, i.e., successful and unsuccessful. This information is needed for an optimal if-then rule [17] each agent uses to choose the next strategy. The rule relies on the Prouhet-Thue-Morse (PTM) sequence…”

Section: Computational Experiments and Optimality Conditionmentioning

confidence: 99%

On the Potential of the Irreducible Description of Complex Systems for the Modeling of the Global Financial System

Korotkikh,

Korotkikh

2009

Preprint

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The recent financial crisis has sharply revealed that current understanding of the global financial system is more than limited. In the recovery plan the confidence in the underlying theory is crucial.To address the problem we propose the description of complex systems in terms of self-organization processes of prime integer relations. The description suggests to consider the global financial system through the hierarchical network built by the totality of the self-organization processes. To make the description operational we propose an integration principle and support it by computational experiments using a multi-agent system. Remarkably, based on integers and controlled by arithmetic only the description raises the possibility to develop an irreducible theory of complex systems. These may open a fundamentally new perspective for the modeling of the global financial system.

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Section: Computational Experiments and Optimality Conditionmentioning

confidence: 99%

On the Potential of the Irreducible Description of Complex Systems for the Modeling of the Global Financial System

Korotkikh,

Korotkikh

2009

Preprint

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“…Of course, in the reality of mathematical modelling the latter assumption cannot be rigorouslyjustified [45]. However, ifstrategies are chosen at each step to satisfy a certain subgoal, the described process provides the possibility of evaluating the quality of satisfaction of a subgoal that corresponds to time t. If the process is finite then we can refer to the last subgoal as a top-level goal [33]. The latter can be satisfied by satisfying subgoals at each step appealing to multicriteria analysis of the underlying problem.…”

Section: Dynamic System Evolutionmentioning

confidence: 99%

Dynamic system evolution and markov chain approximation

Melnik

1998

Discrete Dynamics in Nature and Society

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In this paper computational aspects of the mathematical modelling of dynamic system evolution have been considered as a problem in information theory. The construction of mathematical models is treated as a decision making process with limited available information.The solution of the problem is associated with a computational model based on heuristics of a Markov Chain in a discrete spaceÃ¢Â€Â“time of events. A stable approximation of the chain has been derived and the limiting cases are discussed. An intrinsic interconnection of constructive, sequential, and evolutionary approaches in related optimization problems provides new challenges for future work

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On A General Framework To Study Cooperative Systems

Korotkich

Applied Optimization

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Multicriteria Analysis in Problem Solving and Structural Complexity

Cited by 9 publications

References 3 publications

On the Potential of the Irreducible Description of Complex Systems for the Modeling of the Global Financial System

On the Potential of the Irreducible Description of Complex Systems for the Modeling of the Global Financial System

Dynamic system evolution and markov chain approximation

On A General Framework To Study Cooperative Systems

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