indifferent equilibrium

简明释义

随遇平衡

英英释义

例句

1.After numerous negotiations, the two companies reached an indifferent equilibrium 无差别均衡 that neither side was entirely happy with.

经过多次谈判，两家公司达成了一个indifferent equilibrium 无差别均衡，双方都不完全满意。

2.The economy might reach an indifferent equilibrium 无差别均衡 when supply and demand are balanced but no one is particularly satisfied with the prices.

当供求平衡但没有人对价格特别满意时，经济可能会达到indifferent equilibrium 无差别均衡。

3.In ecological studies, some species coexist in an indifferent equilibrium 无差别均衡, where their populations do not significantly affect each other.

在生态研究中，一些物种以indifferent equilibrium 无差别均衡的方式共存，它们的种群不会显著影响彼此。

4.In a game of chess, the position reached after several exchanges can be described as an indifferent equilibrium 无差别均衡, where neither player has a clear advantage.

在一局国际象棋中，经过几次交换后达到的局面可以被描述为indifferent equilibrium 无差别均衡，在这个局面上没有一方有明显的优势。

5.In a relationship, couples may find themselves in an indifferent equilibrium 无差别均衡, where both partners are content but not particularly passionate.

在一段关系中，情侣可能会发现自己处于indifferent equilibrium 无差别均衡的状态，两位伴侣都感到满意但并没有特别的热情。

作文

In the realm of economics and game theory, the concept of indifferent equilibrium plays a crucial role in understanding strategic interactions among rational agents. An indifferent equilibrium refers to a situation where a player has no preference between two or more strategies because the expected outcomes are equivalent. This state of balance indicates that the player is indifferent to the choices available, leading to a stable yet potentially suboptimal outcome. To illustrate this concept, let us consider a simple game involving two players: Player A and Player B. Suppose both players have two strategies to choose from: Strategy X and Strategy Y. If both players choose Strategy X, they receive a payoff of 3 each. If both choose Strategy Y, they receive a payoff of 2 each. However, if Player A chooses Strategy X while Player B chooses Strategy Y, Player A receives a payoff of 0, and Player B receives a payoff of 5. Conversely, if Player A chooses Strategy Y and Player B chooses Strategy X, Player A receives 5, while Player B receives 0. In this scenario, the payoffs can be summarized in a matrix: | | Player B: X | Player B: Y | |----------|--------------|--------------| | Player A: X | (3, 3) | (0, 5) | | Player A: Y | (5, 0) | (2, 2) | Analyzing this matrix, we see that if both players choose Strategy X, they achieve a higher payoff than if they both choose Strategy Y. However, the mixed strategies lead to a situation where each player may be indifferent between their options, depending on the strategies employed by the opponent. For instance, if Player B believes that Player A will choose Strategy Y, then Player B would prefer to choose Strategy X, as it guarantees a higher payoff. This interaction demonstrates how players can reach an indifferent equilibrium where neither player has a clear incentive to deviate from their strategy, even if the resulting payoffs are not maximized. The idea of indifferent equilibrium extends beyond simple two-player games. In broader economic contexts, such equilibria can arise in markets where multiple firms compete with similar products. If all firms set their prices at a level where consumers are indifferent between their offerings, the market reaches an indifferent equilibrium. While this might ensure stability in the short term, it could also lead to inefficiencies, as firms may lack the motivation to innovate or improve their products. In conclusion, understanding the concept of indifferent equilibrium is vital for analyzing strategic decision-making in various fields, including economics, politics, and sociology. It highlights the complexities of human behavior and the factors that influence our choices. By recognizing the conditions under which players become indifferent to their options, we can better understand the dynamics of competition and cooperation in society. Ultimately, while indifferent equilibrium can provide stability, it also serves as a reminder of the potential need for change and improvement to achieve more favorable outcomes for all involved.

在经济学和博弈论的领域中，indifferent equilibrium（无差异均衡）的概念在理解理性主体之间的战略互动方面发挥着至关重要的作用。indifferent equilibrium指的是一种状态，在这种情况下，玩家对两种或多种策略没有偏好，因为预期结果是等效的。这种平衡状态表明玩家对可用选择无所谓，从而导致一种稳定但潜在次优的结果。为了说明这个概念，让我们考虑一个涉及两个玩家的简单游戏：玩家A和玩家B。假设两个玩家都有两种策略可供选择：策略X和策略Y。如果两个玩家都选择策略X，他们各自获得3的收益。如果两者选择策略Y，他们各自获得2的收益。然而，如果玩家A选择策略X而玩家B选择策略Y，玩家A将获得0的收益，而玩家B将获得5的收益。相反，如果玩家A选择策略Y而玩家B选择策略X，玩家A将获得5，而玩家B将获得0。在这种情况下，收益可以在一个矩阵中总结：| | 玩家B: X | 玩家B: Y | |----------|--------------|--------------| | 玩家A: X | (3, 3) | (0, 5) | | 玩家A: Y | (5, 0) | (2, 2) | 分析这个矩阵，我们看到如果两个玩家选择策略X，他们的收益比如果他们都选择策略Y要高。然而，混合策略导致一种情况，在这种情况下，每个玩家可能对他们的选项无差异，这取决于对手采取的策略。例如，如果玩家B认为玩家A会选择策略Y，那么玩家B会更倾向于选择策略X，因为这保证了更高的收益。这种互动展示了玩家如何达到一种indifferent equilibrium，在这种情况下，没有玩家有明确的激励去偏离他们的策略，即使最终的收益并没有最大化。indifferent equilibrium的思想超越了简单的双人游戏。在更广泛的经济背景下，当多家公司竞争类似产品时，也可能出现这种均衡。如果所有公司在消费者对其产品无差异的价格水平上设定价格，市场便达到了indifferent equilibrium。虽然这可能确保短期内的稳定，但它也可能导致低效，因为公司可能缺乏创新或改进其产品的动力。总之，理解indifferent equilibrium的概念对于分析各个领域的战略决策至关重要，包括经济学、政治学和社会学。它突显了人类行为的复杂性以及影响我们选择的因素。通过认识到玩家在何种条件下对其选项变得无差异，我们可以更好地理解竞争与合作在社会中的动态。最终，虽然indifferent equilibrium可以提供稳定性，但它也提醒我们需要改变和改进，以实现所有相关方更有利的结果。