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考虑溢出效应的双寡头绿色研发时机选择OA

Timing Decisions in Green Research and Development in a Duopoly with Spillover Effects

中文摘要英文摘要

在消费者日益偏好绿色节能产品的背景下,为提升市场竞争力,企业倾向于开展绿色研发以提升产品绿色水平.然而,由于绿色研发具有外溢性,其成果易被竞争对手学习和模仿,这将使得竞争对手的研发成本降低,甚至可能使竞争对手因此"后来居上",在绿色产品水平上取得领先.因此,企业面临着两难选择:是率先进行绿色研发以抢占市场,还是等待竞争对手研发、坐享溢出.为研究这一问题,本文构建了一个两时期双寡头竞争博弈模型.研究结果表明,双寡头在绿色研发时机的选择上存在两种纯策略纳什均衡:① 当溢出率较低时,双寡头均选择在第1时期进行绿色研发,但此时的均衡利润低于两企业均在第2时期研发的情形,双寡头因此陷入"囚徒困境";② 当溢出率较高时,双寡头会选择在不同时期进行绿色研发.此时,先研发企业的利润与绿色研发努力程度均高于后研发企业,且随着溢出率的提高,先研发企业的利润与绿色研发努力程度逐渐降低,而后研发企业的利润与绿色研发努力程度逐步增加.此外,在双寡头先后进行绿色研发的情形下,还存在一个混合策略纳什均衡,在此均衡中,双寡头在第2时期进行研发的概率随着溢出率的上升而增加.

As consumers increasingly prefer green energy-efficient products,enterprises engage in green research and development(R&D)to improve the environmental performance of their products and strengthen market competitiveness.However,because green R&D exhibits spillover effects,competitors can easily learn from or imitate these efforts,reducing their won R&D costs.Some competitors may even"leapfrog"and achieve an advantage in product greenness.This creates a dilemma for firms:should they engage in green R&D early to gain a first-mover advantage,or should they wait and benefit from competitors'spillovers?To address problem,this paper develops a two-period duopoly game model.The results show that the there are two pure-strategy Nash equilibria in the timing of green R&D.When the spillover rate is low,the duopolies choose to conduct green R&D in the first period.However,the equilibrium profit in this scenario is lower than if they conduct R&D in the second period,creating a classic prisoner's dilemma.When the spillover rate is high,the duopolies choose to conduct green R&D at different periods.In this case,the firm that invests first achieves higher profits and exerts greater R&D effort than the later firm.As the spillover rate increases,the first-mover's profit and R&D effort gradually decline,while the second-mover's profit and effort increase.Furthermore,in the scenario where the two firms conduct R&D in different periods,a mixed-strategy Nash equilibrium also exists.In this case,the probability that each firm conducts green R&D in the second period increases with the spillover rate.

李金溪;易余胤

苏州城市学院 数字经济与管理学院,江苏 苏州 215104暨南大学 管理学院,广州 510632

管理科学

溢出效应双寡头竞争绿色研发

spillover effectsduopoly competitiongreen research and development(R&D)

《系统管理学报》 2026 (1)

45-56,12

江苏省高校哲学社会科学一般项目(2024SJYB1079)广东省自然科学基金资助项目(2021A1515012002)贵州省哲学社会科学规划课题(25GZYB121)

10.3969/j.issn2097-4558.2026.01.004

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