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arXiv 2103.05084econ.TH
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Correlated Choice

Christopher P. Chambers, Yusufcan Masatlioglu, Christopher Turansick

摘要:

我们研究随机联合选择规则,允许相互依赖的选择跨代理。这些捕获多个代理或单个代理跨商品或时间段的随机选择。我们感兴趣的是可分离的选择规则,其中每个代理可以被认为是独立于其他代理的行为。一个随机联合选择规则满足边际性,如果对于每一个个体的选择集,我们可以独立于其他个体的选择集确定个体的选择概率。利用可分选择规则给出了满足边际性的随机联合选择规则的两个刻画。虽然边际性是可分性的必要条件,但我们证明了它是不充分的。我们提供了一个额外的条件的边际选择规则,随着边际性,是足够的可分性。

英文摘要:

We study random joint choice rules, allowing for interdependence of choice across agents. These capture random choice by multiple agents, or a single agent across goods or time periods. Our interest is in separable choice rules, where each agent can be thought of as acting independently of the other. A random joint choice rule satisfies marginality if for every individual choice set, we can determine the individual's choice probabilities over alternatives independently of the other individual's choice set. We offer two characterizations of random joint choice rules satisfying marginality in terms of separable choice rules. While marginality is a necessary condition for separability, we show that it fails to be sufficient. We provide an additional condition on the marginal choice rules which, along with marginality, is sufficient for separability.

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