An application of nonlinear dynamics to the presidential nomination process

Paul-Henri Gurian, Euel Elliott, Daniel Everett
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Abstract

During the past two decades a new perspective known as nonlinear dynamics has caught the imagination of researchers in a number of disciplines of the physical sciences. Recently, some of the assumptions of this theory have begun to be applied to the social sciences, including economics, political science and public administration. We believe that the way the current presidential nomination system aggregates individual preferences into a social choice exhibits behavior consistent with nonlinear dynamics. We argue that the nomination system is characterized by two nonlinear processes: sensitive dependence and nonmonotonic behavior.

In this paper, we present a nonlinear dynamical perspective for understanding presidential nomination processes. In particular, we address the question of whether very modest changes, in parameters can produce major changes in the outcome of the campaign. We suggest that resource acquisition, resource allocations, vote outcomes, and media verdicts interact with each other in a complex and dynamic fashion that has dramatic effects upon the allocation of delegates, and hence, the final nomination outcome.

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非线性动力学在总统提名过程中的应用
在过去的二十年中,一种被称为非线性动力学的新观点引起了许多物理科学学科研究人员的想象。最近,这一理论的一些假设已经开始应用于社会科学,包括经济学、政治学和公共管理学。我们认为,当前的总统提名制度将个人偏好聚合为社会选择的方式,表现出与非线性动力学一致的行为。我们认为提名系统具有两个非线性过程的特征:敏感依赖和非单调行为。在本文中,我们提出了一个非线性动力学的角度来理解总统提名过程。特别是,我们解决了一个问题,即参数的非常适度的变化是否会对竞选结果产生重大变化。我们认为,资源获取、资源分配、投票结果和媒体评价以一种复杂而动态的方式相互作用,对代表的分配产生巨大影响,从而影响最终的提名结果。
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