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Today, the editor will bring you a review of the knowledge of the tripartite evolutionary game.
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Share interest, spread happiness, increase knowledge, and leave beautiful.
Dear, this is the LearingYard Academy!
Today, the editor brings you a reviewing the past and understanding the new knowledge of three party evolutionary game theory.
Welcome to visit!
1 内容摘要（Content summary）
Today, the editor will interpret and share the knowledge of the tripartite evolutionary game from the three sections of "mind map, intensive reading content, and knowledge supplement".
Today, the editor will interpret and share the reviewing the past and understanding the new knowledge of three party evolutionary game theory from the three sections of "mind map, intensive reading content, and knowledge supplement".
2 思维导图（Mind mapping）
3 精读内容（Intensive reading content）
In the early days, the editor studied the tripartite evolutionary game and related knowledge, but did not actually write the tripartite evolutionary game article at that time, so the grasp of the key knowledge was not very good when learning, and part of the knowledge has long been forgotten.
In the early days, I studied the three-party evolutionary game and related knowledge, but I didn't actually write the three-party evolutionary game article at that time. Therefore, I didn't grasp the key knowledge very well when I was learning, and some of the knowledge had long been forgotten. So today I picked it up again and walked the path of cultivation again, hoping to pick up old memories and gain new gains.
In many articles on tripartite evolutionary games, the authors usually write the constructed model in the form of a payment matrix to show the game relationship and game strategy combination between the three participating parties. In fact, there is a more intuitive form of expression, the three-party evolution of the game income tree, the combination of game strategies in the form of a tree diagram, can more easily see the strategic relationship between the three.
In many articles on three-party evolutionary games, the author usually writes the constructed model in the form of a payment matrix to show the game relationship and game strategy combination between the three parties involved in the game. In fact, there is a more intuitive form of expression, the three-party evolutionary game benefit tree, which shows the game strategy combination in the form of a tree diagram, which can more easily see the strategic relationship between the three.
In the hypothesis part of the model parameters, the parameters used in the model are designed according to the realistic logical relationship between the game participants, as well as their respective benefits and costs. Usually one party has two strategies to choose from, and the parameters assume that different parameters should be set according to different situations under the two strategy choices, so as to make them logical and meet our modeling needs.
In the model parameter assumption part, the parameters used by the model are designed according to the actual logical relationship between the game participants, as well as their respective benefits and costs. Usually a participant has two strategies to choose from. The parameter assumption is to set different parameters according to different situations under these two strategy choices to make it logical and meet our modeling needs.
In the part of model analysis, the first thing to do is to calculate the expected return and the comprehensive average return when the model participants choose different strategies, and then calculate the replication dynamic equation for the participants' strategy selection. According to the summary of previous scholars, there is a fixed formula that can be applied to the calculation of replication dynamic equations, but the formula can be simplified in the actual calculation to make the calculation more convenient and fast.
In the model analysis part, the first thing to do is to calculate the expected returns and comprehensive average returns of the model participants when they choose different strategies, and then calculate the replication dynamic equation of the strategy selection of the participants. When calculating the replication dynamic equation, according to the summary of previous scholars, there is a fixed formula that can be applied, but the formula can be simplified in actual calculation to make the calculation more convenient and quick.
When performing a specific analysis of the model, parts of the formula can be re-hypothesized for better expression. When analyzing the model, it is necessary to calculate more derivatives to judge the increase and decrease of the function.
When analyzing the model in detail, some of the contents in the formula can be re-assumed for better expression. When analyzing the model, more derivatives need to be calculated to judge the increase and decrease of the function. This part is easy to confuse yourself, so you need to observe more and analyze slowly.
4 知识补充（Knowledge supplement）
What is an evolutionary game and replication dynamic equations?
What is evolutionary game and replication dynamic equation?
Evolutionary game theory is a mathematical model that studies phenomena such as genetic evolution and social evolution in nature. Among them, the replication dynamic equation is an important tool in evolutionary game theory, which describes the change law of how individuals participating in the game choose strategies in the process of evolution.
Evolutionary game theory is a mathematical model that studies phenomena such as genetic evolution and social evolution in nature. Among them, the replication dynamic equation is an important tool in evolutionary game theory, which describes the changing law of how individuals participating in the game choose strategies during the evolution process.
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Resources:
Translation: ChatGPT 4
Writing:
Replication Dynamic Equations for Evolutionary Game Theory - 百度文库 (baidu.com)
[Tripartite Evolutionary Game Zero-based Teaching] Theoretical Part_Bilibili_bilibili
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