In this paper, we consider optimal trading processes in economic systems. The analysis is based on accounting for irreversibility factors using the wealth function concept. The existence of the welfare function is proved, the concept of capital dissipation is introduced as a measure of the irreversibility of processes in the microeconomic system, and the economic balances are recorded, including capital dissipation. Problems in the form of kinetic equations leading to given conditions of minimal dissipation are considered.

中文翻译：

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经济学中的有限时间热力学

在本文中，我们考虑经济系统中的最优交易过程。该分析基于使用财富函数概念对不可逆转因素的考虑。证明了福利函数的存在性，引入了资本耗散的概念作为衡量微观经济系统过程不可逆性的指标，并记录了包括资本耗散在内的经济平衡。考虑了导致最小耗散的给定条件的动力学方程形式的问题。