01前情提要

上一週的琦文分享，我們學習了引言怎麼寫，透過引言的撰寫，我們要使讀者願意隨著我們的文字一步一步讀下去，從研究背景到研究的具體問題。引言具體的包含以下截個內容：1）研究問題的背景；2）已有學者對該問題做出的研究；3）指出研究GAP；4）指出該研究具體要解決什麼問題；5）指出解決該問題的重要性與現實意義；6）對接下來文章內容規劃的概述。

接下來，我們將學習演化博弈的模型構建與引數假設。

In the Qiwen sharing last week， we learned how to write the introduction。 By writing the introduction， we want to make readers willing to read it step by step along with our text， from the research background to the specific problems of the research。 The introduction specifically contains the following cut-off content： 1） the background of the research problem； 2） the research on the problem by existing scholars； 3） point out the research GAP； 4） point out the specific problem to be solved by the research； 5） point out the solution The importance and practical significance of this question； 6） An overview of the content planning of the next article。

Next， we will learn the model construction and parameter assumptions of evolutionary games。

02模型構建

核心企業在供應鏈中佔據主導地位 ［14-15］，對促進供應鏈的綠色化發揮著重要作用。為此，

模型假定涉及消費者和供應鏈核心企業兩類群體，每次都是從兩類群體中隨機配對進行博弈，雙方都是有限理性的並在長期互動影響中不斷調整自身策略直至達到演化均衡。

供應鏈核心企業及消費者在博弈的過程中各有兩種行為可選 ：實施綠色供應鏈和不實施綠色供應鏈、綠色消費和非綠色消費。具體假設如下 ：

Core enterprises occupy a dominant position in the supply chain ［14-15］ and play an important role in promoting the greening of the supply chain。 For this reason， the model assumes that two groups of consumers and core companies in the supply chain are involved。 Each time， the two groups are randomly paired to play games。 Both parties are boundedly rational and constantly adjust their strategies in the long-term interactive influence until they reach evolution。 balanced。 During the game， the core enterprises and consumers of the supply chain have two options： implementing a green supply chain and not implementing a green supply chain， green consumption and non-green consumption。 The specific assumptions are as follows：

然後，得到不同策略選擇下的支付矩陣：

Then， get the payment matrix under different strategy choices：

演化博弈的模型應注意的幾點問題：

1。在演化博弈模型引數設定之前，先去了解我們撰寫的該論文的研究背景。理順參與主體之間的各種關係。讓引數的設定應該貼合現實背景，否則後續模型的分析將會脫離現實意義。

2。同時引數的設定也不能過於複雜，會讓後續的分析十分困難。

Several issues that should be paid attention to in the evolutionary game model：

1。 Before setting the parameters of the evolutionary game model， first understand the research background of the paper we wrote。 Straighten out the various relationships between participating subjects。 The setting of parameters should be in line with the real background， otherwise the subsequent model analysis will be out of practical significance。

2。 At the same time， the parameter setting should not be too complicated， which will make subsequent analysis very difficult。

03模型的分析

關於複製動態方程的推導，我們可以用到兩種方法：

1。基於Malthusianism人口增長模型的推導

2。依據收益偏差導致策略轉移的推導

Regarding the derivation of copying dynamic equations， we can use two methods：

1。 Derivation based on the Malthusianism population growth model

2。 Derivation of strategy shift based on income deviation

首先計算決策一方（消費者）的平均期望收益：

然後計算決策另一方（核心企業）的平均期望收益：

Then calculate the average expected return of the other party in the decision （the core company）：

然後得到系統的複製動態方程組：

Then get the system‘s copy dynamic equations：

再根據複製動態方程組，得到該系統的雅可比矩陣：雅可比矩陣是一階偏導數以一定方式排列成的矩陣，其行列式稱為雅可比行列式。雅可比矩陣的重要性在於它體現了一個可微方程與給出點的最優線性逼近。

Then according to the copy of the dynamic equations， the Jacobian matrix of the system is obtained： the Jacobian matrix is a matrix in which the first-order partial derivatives are arranged in a certain way， and its determinant is called the Jacobian determinant。 The importance of the Jacobian matrix is that it embodies the optimal linear approximation between a differentiable equation and a given point。

根據detJ>0和trJ<0的判定系統演化點的條件，得到各均衡點的情況，如下圖所示：

According to the conditions for judging the evolution point of the system according to detJ>0 and trJ<0， the situation of each equilibrium point is obtained， as shown in the following figure：

隨後，對各均衡點進行分析，先解釋其引數代表的表面意義的解釋，然後再結合現實背景闡述該穩定點的意義。下面以演化（0，0）點為例。

Afterwards， analyze each equilibrium point， first explain the interpretation of the superficial meaning represented by its parameters， and then explain the meaning of the stable point in combination with the realistic background。 Let’s take the evolution point （0， 0） as an example。

由此可見，在演化博弈的模型構建中，我們要使我們的模型有意義，一是讓模型能順利的計算下去，得到的可以分析的複製動態方程，二是不僅能順利計算下去，還能保證讓後續我們的分析與現實結合，並提出響應的建議。

It can be seen that in the construction of the evolutionary game model， we need to make our model meaningful。 First， the model can be calculated smoothly， and the replicated dynamic equation that can be analyzed is obtained。 Second， not only can it be calculated smoothly， but also Make sure to combine our subsequent analysis with reality and put forward suggestions in response。

參考資料：谷歌翻譯

參考文獻：《政府調控下綠色消費與綠色供應鏈實施的演化博弈分析》

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