minimax criterion

简明释义

小中取大法则

英英释义

The minimax criterion is a decision-making strategy used in game theory and statistics, which aims to minimize the possible loss for a worst-case scenario. When dealing with gains, it aims to maximize the minimum gain.

极小极大准则是一种在博弈论和统计学中使用的决策策略,旨在最小化最坏情况下可能的损失。在处理收益时,它旨在最大化最小收益。

例句

1.In competitive environments, applying the minimax criterion 极小极大准则 helps in risk management.

在竞争环境中,应用minimax criterion 极小极大准则 有助于风险管理。

2.The minimax criterion 极小极大准则 is essential for making decisions under uncertainty in strategic planning.

在战略规划中,minimax criterion 极小极大准则 对于在不确定性下做出决策至关重要。

3.In game theory, players often use the minimax criterion 极小极大准则 to minimize their potential losses.

在博弈论中,玩家通常使用minimax criterion 极小极大准则 来最小化他们的潜在损失。

4.When designing algorithms for AI, developers often incorporate the minimax criterion 极小极大准则 to enhance decision-making.

在为人工智能设计算法时,开发人员经常纳入minimax criterion 极小极大准则 来增强决策能力。

5.Using the minimax criterion 极小极大准则, we can find the optimal strategy that minimizes the maximum possible loss.

通过使用minimax criterion 极小极大准则,我们可以找到最小化最大可能损失的最佳策略。

作文

In the realm of decision-making and game theory, the concept of the minimax criterion plays a pivotal role. This principle is primarily used in situations where individuals or entities must make choices under conditions of uncertainty and competition. The minimax criterion is a strategy that aims to minimize the maximum possible loss. In other words, it seeks to protect against the worst-case scenario by ensuring that the potential losses are as low as possible. This approach is particularly useful in competitive environments, such as economics, military strategy, and even sports, where opponents are actively trying to outmaneuver each other.To illustrate the application of the minimax criterion, consider a simple example involving two players in a zero-sum game. Each player has a set of strategies to choose from, and the outcome of the game depends on the combination of strategies selected by both players. The minimax criterion suggests that each player should select a strategy that minimizes their maximum possible loss, thereby ensuring that they are not left vulnerable to their opponent's best move.For instance, imagine a game of poker where Player A and Player B are competing against each other. Player A must decide whether to go all-in or fold based on the cards they hold. If Player A chooses to go all-in, they risk losing everything if Player B has a stronger hand. However, if they fold, they may lose the opportunity to win a significant pot. By applying the minimax criterion, Player A assesses the worst-case scenario for each option. They determine the strategy that minimizes their potential loss while considering what Player B might do. This strategic thinking helps Player A navigate the uncertainty of the game and make a more informed decision.The minimax criterion can also be applied in broader contexts beyond games. In business, for example, companies often face competitive pressures that require them to make strategic decisions. A company may need to invest in new technology while considering the potential risks involved. By using the minimax criterion, the company evaluates the worst-case outcomes of various investment options and selects the one that minimizes potential losses. This analytical approach not only aids in decision-making but also enhances the company's resilience in the face of uncertainty.Furthermore, the minimax criterion is closely related to concepts such as risk management and optimization. In fields like finance, investors frequently use this criterion to balance their portfolios. They aim to minimize the maximum potential loss while still pursuing opportunities for growth. This balance between risk and reward is essential for long-term success in any investment strategy.In conclusion, the minimax criterion serves as a valuable tool for individuals and organizations navigating uncertain and competitive environments. By focusing on minimizing maximum losses, this principle empowers decision-makers to make informed choices that protect their interests. Whether in games, business, or finance, understanding and applying the minimax criterion can lead to more effective strategies and improved outcomes. As we continue to encounter complex challenges in various domains, the relevance of the minimax criterion will undoubtedly persist, guiding us toward better decision-making practices.

在决策和博弈论的领域中,“minimax criterion”这一概念发挥着关键作用。该原则主要用于个体或实体在不确定性和竞争条件下做出选择的情况。“minimax criterion”是一种旨在最小化最大可能损失的策略。换句话说,它试图通过确保潜在损失尽可能低来保护自己免受最坏情况的影响。这种方法在经济学、军事战略甚至体育等竞争环境中尤为有用,因为对手正在积极地试图超越彼此。为了说明“minimax criterion”的应用,考虑一个涉及两个玩家的零和游戏的简单示例。每个玩家都有一组策略可供选择,游戏的结果取决于两位玩家选择的策略组合。“minimax criterion”建议每个玩家选择一种策略,以最小化他们的最大可能损失,从而确保他们不容易受到对手最佳行动的攻击。例如,想象一下扑克游戏,玩家A和玩家B正在相互竞争。玩家A必须根据他们手中的牌决定是全压还是弃牌。如果玩家A选择全压,他们会冒着如果玩家B手中有更强的牌而失去全部筹码的风险。然而,如果他们弃牌,他们可能会失去赢得大量奖金的机会。通过应用“minimax criterion”,玩家A评估每个选项的最坏情况。他们确定一种策略,以最小化潜在损失,同时考虑玩家B可能采取的行动。这种战略思维帮助玩家A应对游戏的不确定性,并做出更明智的决策。“minimax criterion”也可以应用于更广泛的背景,而不仅限于游戏。在商业中,例如,公司经常面临竞争压力,需要做出战略决策。一家公司可能需要在考虑潜在风险的同时投资新技术。通过使用“minimax criterion”,公司评估各种投资选项的最坏结果,并选择最小化潜在损失的选项。这种分析方法不仅有助于决策,还增强了公司在面对不确定性时的韧性。此外,“minimax criterion”与风险管理和优化等概念密切相关。在金融等领域,投资者经常使用这一标准来平衡他们的投资组合。他们的目标是最小化最大潜在损失,同时追求增长机会。这种风险与回报之间的平衡对于任何投资策略的长期成功至关重要。总之,“minimax criterion”作为一个有价值的工具,帮助个人和组织在不确定和竞争的环境中进行导航。通过专注于最小化最大损失,这一原则使决策者能够做出保护自身利益的明智选择。无论是在游戏、商业还是金融中,理解和应用“minimax criterion”都能导致更有效的策略和改善的结果。随着我们在各个领域继续面临复杂挑战,“minimax criterion”的相关性无疑将持续存在,引导我们走向更好的决策实践。

相关单词

minimax

minimax详解:怎么读、什么意思、用法