Monotone threshold representations
Monotone threshold representations
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单调阈值表示
DOI：
10.3982/te1547
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发表时间：
2016
影响因子：
1.7
通讯作者：
Mira Frick
中科院分区：
文献类型：
--
作者：
Mira Frick
出于文献上的“选择超载”，我们研究了有限理性代理的选择行为承认一个单调的阈值表示：有一个潜在的理性基准，对应于效用函数v $的最大化，从代理的选择离开菜单依赖的方式。偏离的严重程度是量化的阈值映射$\delta $，这是单调的集合包含。我们推导出一个公理化的模型表征，扩展熟悉的理性选择的特征。我们将单调阈值表示归类为Simon的"满足"理论的一个特例，但严格来说，它比Tyson（2008）的"扩展满足"模型以及鱼骨（1975）和吕斯（1956）的半序生成的选择行为模型更一般。我们公理化的差异，这些模型提供了新的基础。
Motivated by the literature on ``choice overload'', we study a boundedly rational agent whose choice behavior admits a \textit{monotone threshold representation}: There is an underlying rational benchmark, corresponding to maximization of a utility function $v$, from which the agent's choices depart in a menu-dependent manner. The severity of the departure is quantified by a threshold map $\delta$, which is monotone with respect to set inclusion. We derive an axiomatic characterization of the model, extending familiar characterizations of rational choice. We classify monotone threshold representations as a special case of Simon's theory of ``satisficing'', but as strictly more general than both Tyson's (2008) ``expansive satisficing'' model as well as Fishburn (1975) and Luce's (1956) model of choice behavior generated by a semiorder. We axiomatically characterize the difference, providing novel foundations for these models.