广义不精确近似算法：在有价值的改变之后，习惯/惯例的形成与改变阻力
Generalized Inexact Proximal Algorithms: Habit's/ Routine's Formation with Resistance to Change, following Worthwhile Changes
摘要：
本文展示了如何，在准度量空间，一个不精确的近似算法与广义扰动项似乎是一个很好的工具，行为科学（心理学，经济学，管理学，对策论，.）。更确切地说，新的扰动项表示对变化的抵抗力的指数，定义为两个连续迭代之间的准距离的“足够弯曲”的函数。使用这种行为的角度来看，本文件显示了这样一个广义的不精确的近端算法可以建模的习惯和惯例的形成，在一个惊人的方式。这个想法来自于最近的“变分理性方法”的人类行为，它联系了许多不同的稳定理论（习惯，惯例，平衡，陷阱，......）和变化（创造，创新，学习和破坏，.）以及变分分析中的许多概念和算法。在这种变分的背景下，微扰项代表了对变化的抵抗的非常普遍的概念的一个具体实例，这是一些对变化不利的因素的负效用。分析的核心是“有价值的变化”和“边际有价值的停留”的原始变分概念。在行为层面上，本文主张，近似算法非常适合模拟习惯化/非习惯化人类行为的出现。我们展示了什么时候，以及以什么速度，一个“值得改变”的过程收敛到一个行为陷阱。
英文摘要：
This paper shows how, in a quasi metric space, an inexact proximal algorithm with a generalized perturbation term appears to be a nice tool for Behavioral Sciences (Psychology, Economics, Management, Game theory,...). More precisely, the new perturbation term represents an index of resistance to change, defined as a "curved enough" function of the quasi distance between two successive iterates. Using this behavioral point of view, the present paper shows how such a generalized inexact proximal algorithm can modelize the formation of habits and routines in a striking way. This idea comes from a recent "variational rationality approach" of human behavior which links a lot of different theories of stability (habits, routines, equilibrium, traps,...) and changes (creations, innovations, learning and destructions,...) in Behavioral Sciences and a lot of concepts and algorithms in Variational Analysis. In this variational context, the perturbation term represents a specific instance of the very general concept of resistance to change, which is the disutility of some inconvenients to change. Central to the analysis are the original variational concepts of "worthwhile changes" and "marginal worthwhile stays". At the behavioral level, this paper advocates that proximal algorithms are well suited to modelize the emergence of habituation/routinized human behaviors. We show when, and at which speed, a "worthwhile to change" process converges to a behavioral trap.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
