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

By Fang, Zhigeng

ISBN-10: 1420087398

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A e-book within the Systems review, Prediction, and Decision-Making Series, Systems assessment: equipment, versions, and functions covers the evolutionary process structures evaluate tools, sincerely and concisely. Outlining quite a lot of tools and types, it starts via reading the strategy of qualitative evaluation. subsequent, it describes the method and techniques for construction an index procedure of overview and considers the in comparison assessment and the logical framework process, analytic hierarchy procedure (AHP), and the information envelopment research (DEA) relative potency review method.

Unique in its emphasis at the useful functions of structures review equipment and versions, the ebook introduces a number of new review versions of gray approach, together with basic gray occurrence version, gray occurrence versions in response to similarity and closeness, gray cluster overview in accordance with triangular whitenization capabilities, and multi-attribute gray goal choice version. Explaining complicated options in language that's effortless to appreciate it offers step by step causes of a number of the tools and models.

The textual content illustrates the sensible software, research, and computation of structures evaluate equipment and versions with an abundance of functional examples and empirical stories. The case reviews learn submit overview of road-bridge development initiatives, the potency assessment of the technological know-how and know-how actions, the assessment of energy-saving tasks in China, and the evaluate and choice of foreign cooperation initiatives.

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9) According to the definition of minimum, min j [ai * j , bi * j ] ≤ [ai * j * , bi * j * ], and maxi [aij * , bij * ] ≤ [ai * j * , bi * j * ]. From the definition of maximum, we get that for any i = 1, 2, , m, there is a * ≤ a * *. 10) From Eqs. 10), we obtain min j [a * , b * ] ≥ [a * * , b * * ]. i j i j i j i j According to the definition of minimum, for any j = 1, 2, , n, there is [a * , b * ] ≥ [a * * , b * * ]. So for any i = 1, 2, , m; j = 1, 2, , n, we get [aij * , bij * ] ≤ i j i j i j i j [ai * j * , bi * j * ] ≤ [ai * j , bi * j ].

Proof: Assume the game matrix of a rigorous standard grey matrix game G 0 ( ⊗) = {S10 , S20 ; A 0 ( ⊗)} is shown as Eq. 1), that is, A 0 ( ⊗) = A 0 ( ⊗). 6, the strategy of every player in the rigorous standard grey matrix game is the standard grey game strategy. 4, in the process of a rigorous standard grey matrix game, grey game value grey numbers of Player 1’s rigorous standard grey game strategy a i0 (i = 1, 2, , m ) and Player 2’s grey game strategy b0j ( j = 1, 2, , n ) are either coincident to each other (and the obtained number is known) or their intersection, except the endpoints, is a null set (that is, it meets the comparability conditions).

It mainly involves the following aspects: complete static information, complete dynamic information, incomplete static information, incomplete dynamic information, and so on. At present, the application of game theory covers almost every field of the economic and social life of people, and it is of great success. In the entire process of development, game theory gradually improved itself by means of resolving the problems raised by reality. As in classic Introduction ◾ 9 game theory, there are many issues that cannot be satisfactorily resolved; academic circles hasten the birth of many new theories, such as the following: 1.

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