convex preference

简明释义

凸偏好

英英释义

例句

1.When analyzing market behavior, economists often assume convex preference to model how individuals make choices under uncertainty.

在分析市场行为时，经济学家通常假设凸偏好来模拟个人在不确定性下如何做出选择。

2.In game theory, convex preference can influence players' strategies and outcomes in competitive scenarios.

在博弈论中，凸偏好可以影响玩家在竞争场景中的策略和结果。

3.A firm’s production function may exhibit convex preference, indicating that combining inputs leads to increasing returns to scale.

一个公司的生产函数可能表现出凸偏好，这表明组合投入会导致规模收益递增。

4.The concept of convex preference helps in understanding why diversification in investment portfolios can reduce risk.

凸偏好的概念有助于理解为什么投资组合中的多样化可以降低风险。

5.In consumer theory, a utility function exhibiting convex preference is preferred because it implies that consumers will choose a balanced mix of goods.

在消费者理论中，展现出凸偏好的效用函数是更受欢迎的，因为它意味着消费者会选择商品的平衡混合。

作文

In the realm of economics and decision theory, understanding consumer preferences is fundamental to analyzing how individuals make choices. One important concept that emerges in this field is convex preference. This term refers to a specific type of preference structure that reflects the way consumers value combinations of goods. When we say that a consumer has convex preference, we imply that they prefer averages or mixtures of goods rather than extremes. This idea can be better understood through the lens of indifference curves, which graphically represent a consumer's preferences. Indifference curves that exhibit convex preference are typically bowed inward towards the origin. This curvature indicates that as a consumer substitutes one good for another, the rate at which they are willing to trade off one good for another diminishes. In simpler terms, if a person has a choice between two goods, say apples and oranges, they would prefer to have a mix of both rather than an extreme amount of just one. For instance, if a consumer is given a choice between 10 apples and 0 oranges or 0 apples and 10 oranges, they would find more satisfaction in having 5 apples and 5 oranges due to their convex preference.The implications of convex preference are significant in various economic models, particularly in utility theory. Utility functions that exhibit convex preference are generally concave, which means that the marginal utility derived from consuming additional units of a good decreases as consumption increases. This principle aligns with the law of diminishing marginal utility, suggesting that the more of a good a consumer has, the less additional satisfaction they derive from consuming even more of it. Therefore, consumers tend to diversify their consumption across different goods rather than focusing on one single good excessively.Moreover, convex preference plays a crucial role in market behavior and consumer choice under uncertainty. In situations where consumers face risk, those with convex preference are likely to engage in diversification to mitigate potential losses. For instance, an investor with convex preference might choose to invest in a portfolio that contains a variety of assets instead of putting all their money into a single stock. This strategy not only reduces risk but also enhances the overall expected utility of the investment, as the consumer seeks to balance potential rewards against possible downturns.In conclusion, the concept of convex preference is vital for understanding consumer behavior in economic theory. It illustrates how individuals derive satisfaction from combinations of goods and highlights the importance of diversification in both consumption and investment decisions. By recognizing the significance of convex preference, economists and policymakers can better predict market trends and design effective strategies to cater to consumer needs. As we navigate an increasingly complex economic landscape, the principles surrounding convex preference will continue to inform our understanding of choices and preferences in various contexts.

在经济学和决策理论领域，理解消费者偏好对于分析个人如何做出选择至关重要。一个重要的概念是凸偏好。这个术语指的是一种特定的偏好结构，反映了消费者对商品组合的价值。当我们说一个消费者具有凸偏好时，我们意味着他们更喜欢商品的平均或混合而不是极端。这一观点可以通过无差异曲线的视角来更好地理解，无差异曲线在图形上表示消费者的偏好。表现出凸偏好的无差异曲线通常向原点内弯曲。这种曲率表明，当消费者用一种商品替代另一种商品时，他们愿意以一种商品换取另一种商品的比率会减少。简单来说，如果一个人有两个商品的选择，比如苹果和橙子，他们更喜欢同时拥有两者的混合，而不是只拥有其中一种的极端数量。例如，如果给消费者一个选择，10个苹果和0个橙子，或者0个苹果和10个橙子，他们会发现拥有5个苹果和5个橙子更令人满意，因为他们具有凸偏好。凸偏好的影响在各种经济模型中具有重要意义，特别是在效用理论中。表现出凸偏好的效用函数通常是凹的，这意味着消费额外单位商品所获得的边际效用随着消费的增加而减少。这一原则与边际效用递减法则一致，表明消费者拥有越多的商品，从中获得的额外满意度就越少。因此，消费者倾向于在不同商品之间多样化消费，而不是过度关注单一商品。此外，凸偏好在市场行为和不确定性下的消费者选择中发挥着关键作用。在消费者面临风险的情况下，具有凸偏好的消费者可能会选择多样化以降低潜在损失。例如，一个具有凸偏好的投资者可能会选择投资于包含多种资产的投资组合，而不是将所有资金投入到单一股票中。这一策略不仅降低了风险，还增强了整体投资的预期效用，因为消费者寻求在潜在回报和可能的下跌之间取得平衡。总之，凸偏好的概念对于理解经济理论中的消费者行为至关重要。它说明了个体如何从商品组合中获得满足感，并强调了在消费和投资决策中多样化的重要性。通过认识到凸偏好的重要性，经济学家和政策制定者可以更好地预测市场趋势，并设计有效的策略来满足消费者需求。随着我们在日益复杂的经济环境中航行，围绕凸偏好的原则将继续丰富我们对各种背景下选择和偏好的理解。