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有限理性下不确定参数多目标博弈平衡的稳定性

Stability of Equilibria for Multiobjective Games with Uncertain Parameters under Bounded Rationality
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摘要 本文从有限理性的角度,建立了不确定参数下多目标博弈的有限理性模型,并通过构造特殊的理性函数,证明了在支付函数发生扰动的情况下,该有限理性模型是结构稳定的,并且对弱 ε-Pareto-NS平衡也是鲁棒的。进一步,我们通过具体算例对其平衡的稳定性进行更加直观的验证分析。 From the perspective of bounded rationality, this paper establishes a bounded rationality model of multiobjective games with uncertain parameters, and proves that the bounded rationality model is structurally stable and weak ε-Pareto-NS equilibria is robust when the payoff function is disturbed by constructing a special rationality function. Further, the stability of equilibria for the game is verified and analyzed more intuitively by a specific example.
出处 《运筹与模糊学》 2023年第2期1242-1257,共16页 Operations Research and Fuzziology
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  • 1俞建.对策论中的本质平衡[J].应用数学学报,1993,16(2):153-157. 被引量:21
  • 2Hurwicz L. Optimality criteria for decision making under ignorance. Cowle Commission, Discussion Paper, Statistics, (370)(a), 1951.
  • 3Savage L J. The Foundations of Statistics. Wiley, New York; Chapman Hall, London, 1954.
  • 4Bayes 'r. An essay towards solving a problem on the doctrine of chances. Philosophical Translations, 1763.
  • 5Arrow K J. Alternative approaches to the theory of choice in risk-taking situations. Econometrica, 1951, ][9: 404-437(b).
  • 6Milnor J H. Games against nature. Research Memorandum RM-679, The Rand Corporation, Santa Monica, CA, 1951.
  • 7Modegliani F, Hohn F E. Production planning over time and nature of the expectation a planning horizon. Econometrica, 1953.
  • 8Zhukovskii V I, Molostvov V S. Multicriteria optimization under incomplete information. International Research Institute for Management Sciences, Moscow, 1990.
  • 9Zhukovskii V I, Molostvov V S, Korhonen P. A maxmin approach to solving MCDM problems under uncertainty. Abstracts of the Seventh European Congress of Operation Research, Bologna, Italy, 1985, June.
  • 10Zadeh L A, Bellman R. Decision making in a fuzzy environment. Management Science, 1970, 17(4): 141-164.

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