Read e-book online Grey Game Theory and Its Applications in Economic PDF

By Fang, Zhigeng

ISBN-10: 1420087398

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A booklet within the Systems review, Prediction, and Decision-Making Series, Systems review: tools, types, and purposes covers the evolutionary process platforms review tools, sincerely and concisely. Outlining quite a lot of tools and versions, it starts off by means of interpreting the strategy of qualitative review. subsequent, it describes the method and strategies for development an index method of assessment and considers the in comparison evaluate and the logical framework method, analytic hierarchy method (AHP), and the information envelopment research (DEA) relative potency review method.

Unique in its emphasis at the functional purposes of platforms assessment tools and types, the ebook introduces a number of new review versions of gray method, together with normal gray occurrence version, gray prevalence versions in accordance with similarity and closeness, gray cluster overview according to triangular whitenization capabilities, and multi-attribute gray aim selection version. Explaining complex options in language that's effortless to appreciate it presents step by step reasons of some of the tools and models.

The textual content illustrates the sensible software, research, and computation of platforms assessment tools and versions with an abundance of sensible examples and empirical reports. The case experiences research submit overview of road-bridge building initiatives, the potency review of the technology and expertise actions, the assessment of energy-saving tasks in China, and the evaluate and choice of foreign cooperation tasks.

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5. 5 Maximum and minimum decidable grey number: For a grey number set A( ⊗) = { ⊗⊗ | i = [ai1 , bi 2 ], i = 1, 2, , m}, where all the grey numbers of this set are represented on a number axis, if a grey number[ak1 , bk 2 ] is either coincident with all the other grey numbers (and the obtained number is known) or their intersection (except the endpoints) is a null set, we can call this grey number a size-decidable grey number, or decidable grey number for short. In all the decidable grey numbers, the grey number that is at the leftmost end of the number axis is called the minimum decidable grey number, and the grey number at the rightmost end of the number axis is called the maximum decidable grey number.

We found that the restrictions requested by the classical model are too strict to be satisfied in reality. Taking this factor into consideration, and based on the assumption of limited rationality, this book finds the optimal grey quotation model, which is based on ideal quotation and assessment with the precise value and experience. 2 Status of Research and Development Game theory began in 1944, and by the 1950s, cooperative game theory had developed to its peak; noncooperative game theory also began to appear at that time.

A descriptive game structure model that is of strong universality to the realistic decision-making situations will be constructed. The book also focuses on a kind of game equilibrium analysis and the existence of an equilibrium point under the condition of a game with lost information. Then, it will establish the concepts and resulting rules, like the framework of the incomplete static game of profit and loss value information and of grey potential equilibrium. When focusing on the phenomenon that backward induction’s paradox does not match the reality, this book also reveals the root of the paradox of backward induction, and will design a backward induction grey number structured algorithm of multistage static game theory.

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Grey Game Theory and Its Applications in Economic Decision-Making by Fang, Zhigeng

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