Regularity versus degeneracy in dynamics, games, and optimization: A unified approach to different aspects
Regularity versus degeneracy in dynamics, games, and optimization: A unified approach to different aspects
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DOI：
10.1137/s00361445003756
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发表时间：
2002-09-01
期刊：
影响因子：
10.2
通讯作者：
Bomze, IM
中科院分区：
文献类型：
--
作者：
Bomze, IM
本文在二次优化问题的最优性条件、非线性选择复制动力学的定性性质和演化博弈论的中心解概念之间建立了联系，特别强调了上述三个领域中任何一个领域所需要的几个正则性条件：局部最优解的严格性条件、不动点的双曲性条件以及博弈均衡的准严格性条件。
In this paper, links are established between optimality conditions for quadratic optimization problems, qualitative properties in the nonlinear selection replicator dynamics, and central solution concepts of evolutionary game theory, with particular emphasis on several regularity conditions that are desirable in any of the three fields mentioned above: as strictness conditions for locally optimal solutions, as hyperbolicity conditions for fixed points, and as quasi-strictness conditions for game equilibria.