最小熵与纯交换经济中价格均衡的唯一性
Minimal entropy and uniqueness of price equilibria in a pure exchange economy
摘要：
我们将不确定性引入到纯交换经济中，并建立了香农微分熵和价格均衡唯一性之间的联系。以下猜想是在均匀概率分布的假设下提出的：当且仅当每个经济体的价格都是唯一的时，熵最小。我们证明了这一猜想的有效性为任意数量的商品和两个消费者，并在一定条件下，为任意数量的消费者和两个商品。
英文摘要：
We introduce uncertainty into a pure exchange economy and establish a connection between Shannon's differential entropy and uniqueness of price equilibria. The following conjecture is proposed under the assumption of a uniform probability distribution: entropy is minimal if and only if the price is unique for every economy. We show the validity of this conjecture for an arbitrary number of goods and two consumers and, under certain conditions, for an arbitrary number of consumers and two goods.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
