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International Journal of Nonlinear Analysis and Applications، جلد ۱۵، شماره ۱۱، صفحات ۲۹-۴۹

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عنوان انگلیسی Pareto-efficient situations in infinite and finite pure-strategy staircase-function games
چکیده انگلیسی مقاله A computationally tractable method is suggested for solving $N$-person games in which players’ pure strategies are staircase functions. The solution is meant to be Pareto-efficient. Owing to the payoff subinterval-wise summing, the $N$-person staircase-function game is considered as a succession of subinterval $N$-person games in which strategies are constants. In the case of a finite staircase-function game, each constant-strategy game is an $N$-dimensional-matrix game whose size is relatively far smaller to solve it in a reasonable time. It is proved that any staircase-function game has a single Pareto-efficient situation if every constant-strategy game has a single Pareto-efficient situation, and vice versa. Besides, it is proved that, whichever the staircase-function game continuity is, any Pareto-efficient situation of staircase function-strategies is a stack of successive Pareto-efficient situations in the constant-strategy games. If a staircase-function game has multiple Pareto-efficient situations, the best efficient situation is one which is the farthest from the most unprofitable payoffs. In terms of 0-1-standardization, the best efficient situation is the farthest from the zero payoffs.
کلیدواژه‌های انگلیسی مقاله game theory,payoff functional,Pareto efficiency,staircase-function strategy,N-dimensional-matrix game

نویسندگان مقاله Vadim Romanuke |
Faculty of Mechanical and Electrical Engineering, Polish Naval Academy, Gdynia, Poland


نشانی اینترنتی https://ijnaa.semnan.ac.ir/article_8319_a5a917086e56d3aaa6ee88cfa1c10e35.pdf
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