TAP方程：评估组合创新

IF 2.4 2区经济学 Q1 ECONOMICS

European Economic Review Pub Date : 2025-09-06 DOI:10.1016/j.euroecorev.2025.105144

Marina Cortês , Stuart A. Kauffman , Andrew R. Liddle , Lee Smolin

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引用次数: 0

摘要

我们研究了TAP方程的解，这是相邻可能理论的现象学实现。研究了TAP的几种实现方法，并在一系列主题中具有潜在的应用，包括经济学、社会科学、环境变化、进化生物系统和物理定律的本质。一般的行为是一段较长的平台期，然后是急剧的爆炸性分化。我们找到了爆炸时间的精确解析近似，并通过数值模拟进行了验证，并探索了创新与灭绝平衡附近方程的性质。一种特殊的变体，双尺度TAP模型，用指数增长阶段取代了初始平台期，扩大了TAP方程现象学，使其能够应用于更广泛的背景。

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The TAP equation: Evaluating combinatorial innovation

We investigate solutions to the TAP equation, a phenomenological implementation of the Theory of the Adjacent Possible. Several implementations of TAP are studied, with potential applications in a range of topics including economics, social sciences, environmental change, evolutionary biological systems, and the nature of physical laws. The generic behaviour is an extended plateau followed by a sharp explosive divergence. We find accurate analytic approximations for the blow-up time that we validate against numerical simulations, and explore the properties of the equation in the vicinity of equilibrium between innovation and extinction. A particular variant, the two-scale TAP model, replaces the initial plateau with a phase of exponential growth, a widening of the TAP equation phenomenology that may enable it to be applied in a wider range of contexts.

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来源期刊

European Economic Review ECONOMICS-

CiteScore

4.70

自引率

3.60%

发文量

170

期刊介绍： The European Economic Review (EER) started publishing in 1969 as the first research journal specifically aiming to contribute to the development and application of economics as a science in Europe. As a broad-based professional and international journal, the EER welcomes submissions of applied and theoretical research papers in all fields of economics. The aim of the EER is to contribute to the development of the science of economics and its applications, as well as to improve communication between academic researchers, teachers and policy makers across the European continent and beyond.