喆学（212）：精读期刊论文摘要

发布时间：2026年01月29日作者:aiycxz.cn

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“喆学（212）：精读期刊论文

《考虑公平关切的软件服务供应链定价与服务质量决策》

摘要”

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“Zhexue (212): Intensive reading of journal articles

“Pricing and Service Quality Decisions in Software Service Supply Chains Considering Fairness Concerns”

Abstract”

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本期推文将从思维导图、精读内容、知识补充三个方面介绍精读期刊论文《考虑公平关切的软件服务供应链定价与服务质量决策》摘要。

This edition of the post will introduce the abstract of the journal article "Pricing and Service Quality Decisions in Software Service Supply Chains Considering Fairness Concerns" through three aspects: mind mapping, in-depth reading content, and supplementary knowledge.

一、思维导图（Mind Maps）

二、精读内容（Intensive reading content）

(1)研究背景(Research Background)

摘要指出了软件服务供应链中的两个现实问题：一是软件产品销量受到服务集成商提供的售前服务质量（如业务咨询、功能需求分析等）的显著影响；二是软件开发商在供应链合作中普遍存在对利益分配公平性的关切。这反映了当前软件服务供应链中“服务驱动需求”与“分配公平冲突”并存的典型情境，构成了研究的现实动因。

The abstract points out two real-world problems in the software service supply chain: first, software product sales are significantly affected by the quality of pre-sales services provided by service integrators (such as business consulting and functional requirements analysis); second, software developers generally have concerns about the fairness of profit distribution in supply chain cooperation. This reflects the typical situation of "service-driven demand" and "conflict of fairness in distribution" coexisting in the current software service supply chain, constituting the real-world motivation for this research.

(2)研究方法(Research Methods)

研究采用了博弈论与运筹学方法，通过构建数学模型进行分析。具体而言，分别建立了开发商无公平关切与存在公平关切两种情形下的利润模型与决策模型，并通过对比分析不同情形下的最优决策与均衡结果，揭示公平关切对供应链行为与绩效的影响机制。

This study employs game theory and operations research methods, using mathematical models for analysis. Specifically, profit and decision models are established for two scenarios: developers with no fairness concerns and developers with fairness concerns. By comparing and analyzing the optimal decisions and equilibrium results under different scenarios, the study reveals the impact mechanism of fairness concerns on supply chain behavior and performance.

(3)研究对象(Research Subjects)

研究对象为软件服务供应链系统，核心成员包括：软件开发商（负责软件产品及延保服务定价，并存在公平关切行为）；服务集成商（负责提供售前服务并影响市场需求）。研究同时关注软件产品市场与延保服务市场的联动变化。

The research subject is the software service supply chain system. Core members include: software developers (responsible for pricing software products and extended warranty services, and exhibiting fairness concerns); and service integrators (responsible for providing pre-sales services and influencing market demand). The study also focuses on the interconnected changes between the software product market and the extended warranty service market.

(4)研究内容(Research Content)

研究围绕以下几个关键问题展开：开发商在是否存在公平关切情况下的定价决策差异；公平关切对售前服务质量选择的影响；客户企业对价格敏感程度变化时，公平关切对产品销售价格的调节作用；公平关切对软件产品需求、延保服务需求及整体供应链绩效的影响。

The research focuses on the following key issues: the differences in developers pricing decisions under the presence or absence of fairness concerns; the impact of fairness concerns on the selection of pre-sales service quality; the moderating effect of fairness concerns on product sales prices when customer companies price sensitivity changes; and the impact of fairness concerns on software product demand, extended warranty service demand, and overall supply chain performance.

(5)研究结果(Research Results)

研究得到的主要结论包括：开发商的公平关切在一定程度上有利于扩大软件产品与延保服务需求，并促使其降低产品指导价格和延保服务价格；但公平关切会激励服务集成商降低售前服务质量，从而对软件产品销量产生显著负面影响；当客户企业对价格的敏感程度较小时（较大时），公平关切情形下的产品销售价格低于（高于）无公平关切情形；总体而言，开发商的公平关切会导致软件产品与服务市场萎缩，进而使供应链成员利润和软件服务供应链系统绩效下降。

The main conclusions of the study include: developers fairness concerns are conducive to expanding the demand for software products and extended warranty services to a certain extent, and prompt them to reduce the suggested retail price of products and the price of extended warranty services; however, fairness concerns will incentivize service integrators to reduce the quality of pre-sales services, thus having a significant negative impact on the sales volume of software products; when customer companies are less sensitive to price (or more sensitive), the product sales price under the fairness concern scenario is lower (or higher) than that under the no fairness concern scenario; overall, developers fairness concerns will lead to a shrinking of the software product and service market, which in turn will reduce the profits of supply chain members and the performance of the software service supply chain system.

三、知识补充（Knowledge supplement）

公平关切是行为运筹学与行为博弈论中的一个重要概念，用来刻画决策主体在经济决策中不仅关注自身绝对收益，还关注与其他参与者之间收益分配是否公平的心理偏好。

Fairness concern is a key concept in behavioral operations research and behavioral game theory, used to characterize the psychological preferences of decision-makers in economic decisions, who not only focus on their own absolute gains but also on the fairness of the distribution of gains among other participants.

公平关切主要源于行为经济学与实验经济学，其代表性理论包括：

Fairness concern primarily originates from behavioral economics and experimental economics, with representative theories including:

1.公平厌恶理论（Inequity Aversion）

认为个体会对收益分配的不公平产生厌恶情绪。

This theory posits that individuals experience aversion to unfair distribution of gains.

2.hr–Schmidt 模型(hr–Schmidt Model)

是最经典的公平关切建模方式之一，假设个体同时厌恶：自己“赚得比别人少”（劣势不公平）;自己“赚得比别人多”（优势不公平）。

This is one of the most classic models of fairness concern, assuming that individuals simultaneously abhor: earning less than others (disadvantageous unfairness) and earning more than others (advantageous unfairness).

3.社会偏好理论(Social Preference Theory)

将公平、互惠、利他等心理因素纳入效用函数，突破“纯利润最大化”假设。

This theory incorporates psychological factors such as fairness, reciprocity, and altruism into the utility function, breaking through the assumption of "pure profit maximization."

在实际经济活动和供应链合作中，公平关切通常表现为：

In actual economic activities and supply chain cooperation, fairness concern typically manifests as:

1.对利润分配比例敏感(Sensitivity to Profit Distribution Ratios)

即使自身利润增加，只要对方增幅更大，也可能产生不满。

Even if ones own profits increase, dissatisfaction may arise if the other partys increase is even greater.

2.为追求公平而牺牲效率(Sacrificing Efficiency for Fairness)

决策者可能放弃更高的绝对利润，以避免“分配不公”。

Decision-makers may forgo higher absolute profits to avoid "unfair distribution."

3.对合作伙伴决策产生反向激励(Reverse Incentives on Partner Decisions)

公平关切可能引发报复性定价、降低服务质量或减少投入。

Fairness concerns may trigger retaliatory pricing, reduced service quality, or decreased investment.

4.非对称性特征明显(Significant Asymmetry)

通常对“赚得比别人少”的厌恶强于“赚得比别人多”。

The aversion to "earning less than others" is generally stronger than the aversion to "earning more than others."

在软件服务供应链或一般供应链中，公平关切会通过以下路径影响系统运行：

In the software service supply chain or the general supply chain, fairness concerns affect system operation through the following paths:

1.影响定价决策(Influencing Pricing Decisions)

企业可能通过降低或提高价格来调整利润分配结构。

Companies may adjust profit distribution structures by lowering or raising prices.

2.影响服务或努力水平(Influencing Service or Effort Levels)

为避免对方获益过多，一方可能降低服务质量或投入水平。

To avoid the other party benefiting too much, one party may reduce service quality or investment levels.

3.改变均衡结果(Altering Equilibrium Outcomes)

公平关切会使均衡偏离传统Stackelberg或Nash结果。

Fairness concerns can cause the equilibrium to deviate from traditional Stackelberg or Nash outcomes.

4.影响整体供应链绩效(Impacting Overall Supply Chain Performance)

虽然可能改善局部分配公平，但往往以牺牲系统效率为代价。

While it may improve local distributional fairness, it often comes at the expense of system efficiency.

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翻译：谷歌翻译

参考资料：谷歌、Chat GPT

参考文献：任廷海, 刘开璇, 王大飞. 考虑公平关切的软件服务供应链定价与服务质量决策 [J]. 数学的实践与认识, 2024, 54(8): 73-88.

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喆学（212）：精读期刊论文摘要

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