moitvivt Моделирование, оптимизация и информационные технологии Modeling, Optimization and Information Technology 2310-6018 Издательство 10.26102/2310-6018/2025.48.1.008 1761 Динамическое ценообразование в недвижимости Dynamic pricing for real estate 0009-0009-7857-3101 Разумовский Лев Григорьевич Razumovskiy Lev Grigorievich lev.razumovskiy@ramax.com aff-1 Герасимова Мария Алексеевна Gerasimova Mariya Alekseevna marijyagerasimova@ramax.com aff-2 0009-0000-1317-2512 Каренин Николай Евгеньевич Karenin Nikolay Evgen'evich nikolay.karenin@ramax.ru aff-3 Группа компаний "Ramax" Ramax Group Группа компаний "Ramax" Ramax Group Группа компаний "Ramax" Ramax Group 01 01 2026 1 1 10.26102/2310-6018/2025.48.1.008 Copyright © Авторы, 2026 2026 This work is licensed under a Creative Commons Attribution 4.0 International License

В работе рассматривается математическая модель динамической корректировки цены на недвижимость. Характеристиками модели выступают конечное число объектов недвижимости, фиксированный горизонт продаж, наличие промежуточных планов по продажам и выручке. В построенной модели рассмотрен случай переменного общего спроса, а также добавлен учет меняющейся со временем стоимости денег и роста цены объекта недвижимости по мере его строительной готовности. В работе изучен общий вид ценовой политики и представлен алгоритм нахождения цены в случае переменного общего спроса. Аналогичные построения проведены для модели, учитывающей стоимость денег и рост стоимости недвижимости по мере строительной готовности. Также рассмотрен случай линейной функции эластичности как базового, но в то же время наиболее распространенного случая ее практического использования. Приведены строгие математические доказательства полученных в работе результатов, а также выполнены численные симуляции с использованием реальных данных недвижимости в конкретном городе за 3,5 года с целью сравнения различных подходов к построению ценовой политики. Полученные результаты могут быть использованы для эффективного управления ценами на недвижимость.

The paper considers a mathematical model for dynamic price adjustment in real estate. The model is characterized by a finite number of real estate objects, a fixed sales horizon, and the presence of intermediate goals for sales and revenue. The model developed in this work addresses the case of variable total demand, incorporating the time value of money and the increase in real estate objects value as construction progresses. The general structure of pricing policy is studied, and an algorithm for determining prices under variable total demand is presented. Similar constructions are carried out for a model that accounts for the time value of money and the rising property value during construction. The case of a linear elasticity function is also examined as a basic but widely used practical scenario. Rigorous mathematical proofs of the results are provided, along with numerical simulations based on real estate data from a specific city over 3.5 years to compare different approaches to pricing policy formulation. The obtained results can be applied to effectively manage real estate pricing.

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The authors declare that there are no conflicts of interest present.