论文标题
有限的理性和动物精神：Slutsky矩阵的波动响应方法
Bounded Rationality and Animal Spirits: A Fluctuation-Response Approach to Slutsky Matrices
论文作者
论文摘要
Slutsky方程是消费者选择理论中的中心，它来自经济学中大多数标准模型的基本假设，例如完全合理性，同质性和相互作用的缺乏。我们提出了一个统计物理框架，使我们能够放松此类假设。我们首先得出了一种一般的波动反应公式，该公式将Slutsky Matrix与消费的自发波动联系起来，而不是对价格和预算变化的响应。然后，我们表明，在我们的假设中，即使代理人仅有限制但无相互作用，Slutsky矩阵的对称性仍然有效。然后，我们提出了一个模型，其中代理会受到其他人的选择影响，从而导致了相位过渡，超出了牛群（或``'''时尚）效应的主导。在这种情况下，即使对于完全理性的代理，单个Slutsky矩阵也不再是对称的。过渡的附近具有不对称的峰值。
The Slutsky equation, central in consumer choice theory, is derived from the usual hypotheses underlying most standard models in Economics, such as full rationality, homogeneity, and absence of interactions. We present a statistical physics framework that allows us to relax such assumptions. We first derive a general fluctuation-response formula that relates the Slutsky matrix to spontaneous fluctuations of consumption rather than to response to changing prices and budget. We then show that, within our hypotheses, the symmetry of the Slutsky matrix remains valid even when agents are only boundedly rational but non-interacting. We then propose a model where agents are influenced by the choice of others, leading to a phase transition beyond which consumption is dominated by herding (or `"fashion") effects. In this case, the individual Slutsky matrix is no longer symmetric, even for fully rational agents. The vicinity of the transition features a peak in asymmetry.
