acceptable payoff vector

简明释义

可接受支付向量;

英英释义

例句

1.To resolve the conflict, both sides must agree on an acceptable payoff vector 可接受的收益向量 that reflects their interests.

为了解决冲突，双方必须达成一致，确定一个可接受的收益向量 acceptable payoff vector，反映他们的利益。

2.The game theory model illustrates how players can reach an acceptable payoff vector 可接受的收益向量 through strategic decisions.

博弈论模型展示了玩家如何通过战略决策达到一个可接受的收益向量 acceptable payoff vector。

3.Finding an acceptable payoff vector 可接受的收益向量 is crucial for maintaining long-term partnerships.

寻找一个可接受的收益向量 acceptable payoff vector 对于维持长期合作关系至关重要。

4.In a cooperative game, players need to agree on an acceptable payoff vector 可接受的收益向量 that satisfies all parties involved.

在一个合作游戏中，玩家需要就一个可接受的收益向量 acceptable payoff vector 达成一致，以满足所有相关方。

5.The negotiation team proposed an acceptable payoff vector 可接受的收益向量 to ensure fair distribution of resources.

谈判小组提出了一个可接受的收益向量 acceptable payoff vector 以确保资源的公平分配。

作文

In the realm of game theory and economics, the concept of an acceptable payoff vector plays a crucial role in understanding how different strategies can lead to various outcomes for the players involved. A payoff vector represents the distribution of payoffs among participants in a strategic interaction, where each player's payoff is determined by their own actions as well as the actions of others. The term 'acceptable' suggests that this vector is one that meets certain criteria or expectations for the players, allowing them to agree upon or accept the outcomes derived from their strategies.To elaborate, let’s consider a simple example involving two players, Alice and Bob, who are deciding whether to cooperate or defect in a game. If both choose to cooperate, they may receive a high payoff, while if one defects and the other cooperates, the defector gets a larger payoff at the expense of the cooperator. If both defect, they receive lower payoffs. In this scenario, the acceptable payoff vector would be the set of payoffs that both players find satisfactory enough to agree upon, ideally resulting in cooperation rather than conflict.The idea of an acceptable payoff vector is particularly important in negotiations and cooperative games. For instance, in international trade agreements, countries must reach a consensus on terms that yield an acceptable payoff vector for all parties involved. Each country evaluates its potential gains and losses based on the agreement, and they strive to find a solution that maximizes their individual payoffs while ensuring that the overall outcome is acceptable to all. This often involves complex calculations and considerations of each country’s priorities and constraints.Moreover, the concept is not limited to economics; it extends into various fields such as political science, biology, and social dynamics. In political negotiations, for instance, leaders must navigate the interests of different factions to arrive at an acceptable payoff vector that minimizes conflict and promotes stability. Similarly, in ecological studies, researchers might analyze how species interact within ecosystems to determine which strategies lead to sustainable outcomes—essentially identifying acceptable payoff vectors for all species involved to ensure their survival and coexistence.Understanding the implications of an acceptable payoff vector also highlights the importance of communication and collaboration in achieving mutually beneficial outcomes. It emphasizes that players must not only focus on their individual payoffs but also consider the collective welfare of the group. This collaborative approach can lead to more efficient solutions and better long-term relationships among players, whether in business, politics, or social interactions.In conclusion, the concept of an acceptable payoff vector is fundamental in analyzing strategic interactions across various disciplines. It encapsulates the essence of cooperation and negotiation, underscoring the need for players to find common ground in their decision-making processes. By striving for an acceptable payoff vector, individuals and groups can foster environments that encourage collaboration, leading to outcomes that are beneficial for all parties involved. As we continue to navigate complex systems and relationships in our world, understanding and applying this concept will be essential in promoting harmony and productivity in our interactions.

在博弈论和经济学的领域中，可接受的收益向量这一概念在理解不同策略如何导致参与者之间各种结果方面发挥着至关重要的作用。收益向量代表了战略互动中参与者之间收益的分配，其中每个玩家的收益由他们自己的行为以及其他人的行为决定。‘可接受’一词暗示着这个向量是满足参与者某些标准或期望的，从而使他们能够达成一致或接受其策略所产生的结果。为了详细说明这一点，让我们考虑一个简单的例子，涉及两个玩家，爱丽丝和鲍勃，他们正在决定是否合作或背叛。在这种情况下，如果两人都选择合作，他们可能会获得高收益；而如果一个人背叛而另一个人合作，背叛者将获得更大的收益，而合作者则会受到损失。如果两人都背叛，他们将获得较低的收益。在这种情况下，可接受的收益向量将是双方都认为令人满意的收益集合，理想情况下促使他们合作而非冲突。可接受的收益向量的概念在谈判和合作游戏中尤为重要。例如，在国际贸易协议中，各国必须达成共识，确保所有参与方都能获得可接受的收益向量。每个国家根据协议评估其潜在的收益和损失，并努力寻找一种解决方案，以最大化其个人收益，同时确保整体结果对所有国家都是可接受的。这通常涉及复杂的计算和对各国优先事项与制约因素的考量。此外，这一概念不仅限于经济学；它还扩展到政治科学、生物学和社会动态等多个领域。在政治谈判中，领导者必须在不同派别的利益之间进行权衡，以达成一个可接受的收益向量，以最小化冲突并促进稳定。同样，在生态研究中，研究人员可能会分析物种在生态系统中的相互作用，以确定哪些策略能够导致可持续的结果——本质上是识别所有相关物种的可接受的收益向量，以确保它们的生存与共存。理解可接受的收益向量的含义也突显了沟通与合作在实现互利结果中的重要性。这强调了参与者不仅要关注自身的收益，还要考虑集体的福祉。这种合作的方式可以导致更有效的解决方案，并改善参与者之间的长期关系，无论是在商业、政治还是社会互动中。总之，可接受的收益向量这一概念在分析各个学科中的战略互动时是基础性的。它概括了合作和谈判的本质，强调参与者在决策过程中必须寻找共同点。通过追求可接受的收益向量，个人和团体可以营造出鼓励合作的环境，导致对所有参与者都有利的结果。随着我们继续在复杂的系统和关系中导航，理解和应用这一概念在促进我们互动中的和谐与生产力方面将是至关重要的。