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今天小編為大家帶來《農業供應鍊中的平台融資或銀行融資：平台數字賦權的影響》一文。
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increase knowledge, and leave beautiful.
Dear, this is the LearingYard Academy!
Today, the editor brings the "
Platform financing or bank financing in agricultural supply chains: Theimpact of platform digital empowerment".
Welcome to visit！
1 内容摘要（Content summary）
今天小編将從“思維導圖、精讀内容、知識補充”三個闆塊，解讀分享《農業供應鍊中的平台融資或銀行融資：平台數字賦權的影響》一文的有PDE下的BD模式分析部分。
Today, I will share the part of BD model analysis with PDE in the article “Platform financing or bank financing in agricultural supply chain: the impact of platform digital empowerment” from the three sections of “Thinking Guide, Intensive Reading, and Knowledge Supplementation”.
2 思維導圖（Mind mapping）
3 精讀内容（Intensive reading content）
本節讨論有PDE情況下的BD模型，即在模型BD中，農民用PDE從銀行獲得貸款。在這種情況下，該平台通過銷售農産品和提供數字授權來幫助農民。農民和平台的預期利潤為：
This section discusses the BD model with PDE, i.e., in model BD, the farmer uses PDE to get a loan from the bank. In this case, the platform helps the farmer by selling agricultural products and providing digital licenses. The expected profit for the farmer and the platform is:
其中Q的值為：
where the value of Q is:
将上述銀行和平台的利潤函數輸入計算軟體：
Enter the profit function for the above banks and platforms into the calculator:
通過分别對eF和eP求偏導并令其為零，分别得到eF和eP關于w的等式如下：
The following equations for eF and eP with respect to w are obtained by taking the partial derivatives of eF and eP respectively and making them zero:
再将eF和eP關于w的等式帶回到利潤函數中，得到關于w的等式，并對w求偏導令其為零，得到w的值如下：
The equation for eF and eP with respect to w is then brought back to the profit function to obtain the equation with respect to w. The value of w is obtained as follows by taking the partial derivation of w to make it zero:
将w的值帶回eF和eP關于w的等式中，分别得到eF和eP的相關值如下：
Bringing the value of w back into the equation for eF and eP with respect to w yields the following values associated with eF and eP, respectively:
将eF和eP的值分别帶回到利潤函數中可以求得平台和農民的利潤如下：
Bringing the values of eF and eP back into the profit function respectively one can find the profits of the platform and the farmer as follows:
4 知識補充（Knowledge supplement）
什麼是逆向歸納法？（What is reverse induction?）
逆向歸納法（Backward Induction）是一種在博弈論中用于分析和求解具有先後行動順序的動态博弈的政策方法。這種方法從博弈的最後一階段開始分析，參與者基于理性選擇和最大化自身利益的原則決定最優政策，随後将這個邏輯逆向應用于倒數第二階段，依此類推，直至博弈的初始階段。通過這種方式，逆向歸納法能夠揭示出在完全且完美資訊條件下，理性的參與者應該如何行動以達到子博弈完美均衡（SPE）。簡而言之，逆向歸納法是一種“向前展望，向後推理”的政策，它幫助我們了解在多階段決策過程中，如何通過預見未來結果來指導目前的最佳選擇。
Backward Induction is a strategy method used in game theory to analyze and solve dynamic games with sequential actions. This approach starts from the last stage of the game, where participants decide on the optimal strategy based on the principle of rational choice and maximizing their own interests, and then apply this logic in reverse to the penultimate stage, and so on, until the initial stage of the game. In this way, backward induction is able to reveal how rational participants should act to achieve subgame perfect equilibrium (SPE) under conditions of complete and perfect information. In short, backward induction is a “forward-looking, backward-reasoning” strategy that helps us understand how to anticipate future outcomes to guide the best current choices in a multi-stage decision-making process.
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參考資料：ChatGPT
參考文獻：
Qihui Lu, Changhua Liao, Meilan Chen, et al. Platform financing or bank financing in agricultural supply chains: The impact of platform digital empowerment[J]. European Journal of Operational Research, 2024, 315(1): 952-964.
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