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This paper uses network theory to simulate Nash equilibria for selfish travel within a traffic network. Specifically, it examines the phenomenon of Braess's Paradox, the counterintuitive occurrence in which adding capacity to a traffic network increases the social costs paid by travelers in a new Nash equilibrium. It also employs

This paper uses network theory to simulate Nash equilibria for selfish travel within a traffic network. Specifically, it examines the phenomenon of Braess's Paradox, the counterintuitive occurrence in which adding capacity to a traffic network increases the social costs paid by travelers in a new Nash equilibrium. It also employs the measure of the price of anarchy, a ratio between the social cost of the Nash equilibrium flow through a network and the socially optimal cost of travel. These concepts are the basis of the theory behind undesirable selfish routing to identify problematic links and roads in existing metropolitan traffic networks (Youn et al., 2008), suggesting applicative potential behind the theoretical questions this paper attempts to answer. New topologies of networks which generate Braess's Paradox are found. In addition, the relationship between the number of nodes in a network and the number of occurrences of Braess's Paradox, and the relationship between the number of nodes in a network and a network's price of anarchy distribution are studied.
ContributorsChotras, Peter Louis (Author) / Armbruster, Dieter (Thesis director) / Lanchier, Nicolas (Committee member) / Barrett, The Honors College (Contributor) / School of Mathematical and Statistical Sciences (Contributor) / Economics Program in CLAS (Contributor)
Created2015-05
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The ground for the ethics of lockdown policies has radically shifted in the past three years. Libertarians started to be convinced that it is morally justifiable to impose constraints on liberties, including forced quarantine and social isolation. On September 7, according to the World Health Orignaztion, the mortality rate for

The ground for the ethics of lockdown policies has radically shifted in the past three years. Libertarians started to be convinced that it is morally justifiable to impose constraints on liberties, including forced quarantine and social isolation. On September 7, according to the World Health Orignaztion, the mortality rate for COVID reached its lowest since March 9, 2020. I will take September 7 as the turning point for the ethics of the pandemic in this work. If we accept utilitarianism, deontology, or moral relativism, then, prior to the turning point, China’s Zero-COVID Policy was morally justified. Although China’s Zero-COVID Policy has remained controversial, I will propose that (1) the policy was justified on utilitarianism because it maximized utility, (2) the policy was justified on deontology because the policy is the Nash Equilibrium, and (3) the policy was justified on moral relativism because the policy was in accordance with the norms of the Chinese people.

ContributorsTao, Junru (Author) / Portmore, Douglas (Thesis director) / Priest, Maura (Committee member) / Barrett, The Honors College (Contributor) / Historical, Philosophical & Religious Studies, Sch (Contributor) / Hugh Downs School of Human Communication (Contributor)
Created2023-05