در این مقاله، یک چهارچوب کلی برای پیاده سازی بازار خرده فروشی انرژی بر پایه الگوریتم nikaido-isoda/relaxation (بر مبنای تئوری بازی غیر همکارانه) با وجود نوسانات بالای تولید منابع تجدیدپذیر پراکنده (drr) و تقاضای مصرف کنندگان به همراه پیاده سازی مدیریت سمت تقاضا (dsm) در ریزشبکه ها (mg)، پیشنهاد شده است. ساختار ارائه شده بر اساس خاصیت اتصال و اجرای تعداد زیادی از منابع انرژی تجدیدپذیر (با در نظر...

We consider linear generalized Nash games and introduce the socalled cone condition which characterizes the smoothness of the Nikaido-Isoda function under weak assumptions. The latter mapping arises from a reformulation of the generalized Nash equilibrium problem as a possibly nonsmooth optimization problem. Other regularity conditions like LICQ or SMFC(Q) are only sufficient for smoothness, bu...

We consider the generalized Nash equilibrium problem which, in contrast to the standard Nash equilibrium problem, allows joint constraints of all players involved in the game. Using a regularized Nikaido-Isoda-function, we then present three optimization problems related to the generalized Nash equilibrium problem. The first optimization problem is a complete reformulation of the generalized Na...

A differential evolution algorithm for solving Nash equilibrium in nonlinear continuous games is presented in this paper, called NIDE (Nikaido-Isoda differential evolution). At each generation, parent and child strategy profiles are compared one by one pairwisely, adapting Nikaido-Isoda function as fitness function. In practice, the NE of nonlinear game model with cubic cost function and quadra...

مکان‌یابی با درنظرگرفتن موضوع رقابت در بازار، یک تصمیم راهبردی و بلندمدت محسوب می­‌شود. چنانچه انتخاب مکان، بررسی‌­های لازم صورت نگیرد، حیات سازمان تحت تأثیر قرار می‌­گیرد. به‌­دلیل وجود پیچیدگی‌­های موجود مسائل مکان‌یابی، ارائه مدل‌های محدودیت­‌های متنوعی مواجه است. هدف این پژوهش، توسعه مدل رقابتی درنظر­گرفتن دو محصول از سوی سه رقیب است؛ برای منظور، مسئله به‌­صورت بازی مکان ـ قیمت تعریف استفاد...

The generalized Nash equilibrium is a Nash game, where not only the players’ cost functions, but also the constraints of a player depend on the rival players decisions. We present a globally convergent algorithm that is suited for the computation of a normalized Nash equilibrium in the generalized Nash game with jointly convex constraints. The main tool is the regularized Nikaido-Isoda function...

The generalizedNash equilibriumproblem (GNEP) is an extension of the standardNash equilibriumproblem (NEP), in which each player’s strategy set may depend on the rival player’s strategies. In this paper, we present two descent type methods.The algorithms are based on a reformulation of the generalized Nash equilibrium using Nikaido-Isoda function as unconstrained optimization. We prove that our...

Using a regularized Nikaido-Isoda function, we present a (nonsmooth) constrained optimization reformulation of a class of generalized Nash equilibrium problems (GNEPs). Further we give an unconstrained reformulation of a large subclass of all GNEPs which, in particular, includes the jointly convex GNEPs. Both approaches characterize all solutions of a GNEP as minima of optimization problems. Th...