extensive form

简明释义

粗放型

英英释义

例句

1.In game theory, the decision tree is often represented in extensive form 扩展形式 to illustrate the sequential nature of the game.

在博弈论中，决策树通常以extensive form 扩展形式表示，以说明游戏的顺序性质。

2.The software simulates various outcomes based on the extensive form 扩展形式 of the game.

该软件根据游戏的extensive form 扩展形式模拟各种结果。

3.To analyze the negotiation process effectively, we can represent it in extensive form 扩展形式.

为了有效分析谈判过程，我们可以将其表示为extensive form 扩展形式。

4.When teaching students about strategic interactions, using extensive form 扩展形式 can help clarify complex decisions.

在教学生有关战略互动时，使用extensive form 扩展形式可以帮助澄清复杂的决策。

5.The extensive form 扩展形式 of a mathematical model allows for a more detailed analysis of strategies.

数学模型的extensive form 扩展形式允许对策略进行更详细的分析。

作文

In the field of game theory, the concept of extensive form is crucial for analyzing strategic interactions among players. The extensive form represents a way to depict games that involve sequential moves and decisions, allowing us to visualize the different possible outcomes based on the choices made by each player at various points in the game. Unlike the normal form, which presents a matrix of payoffs for simultaneous moves, the extensive form uses a tree structure to illustrate how the game unfolds over time.To better understand the extensive form, consider a simple example of a two-player game where Player 1 must decide whether to cooperate or defect before Player 2 makes their choice. The extensive form would start with a decision node for Player 1, branching into two paths: one leading to cooperation and the other to defection. Each of these branches would further split into Player 2's possible responses, creating a comprehensive representation of the game's dynamics.The advantages of using the extensive form are manifold. Firstly, it allows for a detailed examination of the strategic implications of each player's decisions. Players can analyze the potential consequences of their actions and anticipate the responses of their opponents. This foresight is particularly valuable in competitive environments where timing and order of moves can significantly influence the outcome.Moreover, the extensive form facilitates the identification of subgames, which are smaller sections of the game that can be analyzed independently. By focusing on these subgames, players can apply concepts such as backward induction, where they reason from the end of the game back to the present to determine optimal strategies. This method enhances decision-making by providing a clearer understanding of how future actions impact current choices.However, while the extensive form is powerful, it also has its limitations. For instance, as the number of players and possible actions increases, the complexity of the tree grows exponentially. This can make it challenging to analyze large games effectively. Additionally, the extensive form assumes that players are rational and have complete information about the game, which may not always be the case in real-world situations.Despite these challenges, the extensive form remains an essential tool for economists, strategists, and decision-makers. It provides a structured framework for understanding complex interactions and helps in the formulation of strategies that maximize payoffs. In conclusion, the extensive form is a vital concept in game theory that enables a deeper understanding of strategic behavior, illustrating how decisions evolve over time and how they can lead to various outcomes. By mastering the extensive form, individuals can enhance their analytical skills and improve their ability to navigate competitive scenarios effectively.

在博弈论领域，extensive form的概念对于分析玩家之间的战略互动至关重要。extensive form表示了一种描绘涉及顺序移动和决策的游戏的方法，使我们能够可视化基于每个玩家在游戏不同阶段所做选择的不同可能结果。与同时移动的正常形式不同，extensive form使用树状结构来展示游戏随时间的展开。为了更好地理解extensive form，考虑一个简单的两人游戏示例，其中玩家1必须在玩家2做出选择之前决定是合作还是背叛。extensive form将以玩家1的决策节点开始，分成两条路径：一条通向合作，另一条通向背叛。每个分支进一步分裂为玩家2的可能反应，从而创建游戏动态的全面表示。使用extensive form的优点是多方面的。首先，它允许对每个玩家决策的战略影响进行详细检查。玩家可以分析其行为的潜在后果，并预测对手的反应。这种前瞻性在竞争环境中尤其有价值，因为时机和行动顺序可以显著影响结果。此外，extensive form促进了子博弈的识别，子博弈是游戏的小部分，可以独立分析。通过关注这些子博弈，玩家可以应用如逆向归纳法等概念，从游戏结束推理回现在，以确定最佳策略。这种方法通过提供未来行动如何影响当前选择的更清晰理解，增强了决策能力。然而，尽管extensive form功能强大，但也存在局限性。例如，随着玩家数量和可能行动的增加，树的复杂性呈指数级增长。这可能使得有效分析大型游戏变得具有挑战性。此外，extensive form假设玩家是理性的，并且对游戏有完全的信息，这在现实世界中可能并不总是成立。尽管面临这些挑战，extensive form仍然是经济学家、战略家和决策者的重要工具。它提供了一个结构化的框架，用于理解复杂的互动，并有助于制定最大化收益的策略。总之，extensive form是博弈论中的一个重要概念，使我们能够更深入地理解战略行为，说明决策如何随时间演变以及如何导致各种结果。通过掌握extensive form，个人可以增强分析技能，提高在竞争场景中有效导航的能力。