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Price Dynamics on Networks

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title
Price Dynamics on Networks
author
Feng, Fan
abstract
In this thesis we consider price dynamics on an $n$-node graph, with particular emphasis on population distribution and movement. We propose a general model wherein at each time step population distributes to adjacent nodes with minimal price, and prices are modified to reflect local population demand. We prove some inequalities regarding local and global load balancing (in the case of trees), for a simplified model wherein prices do not decline. In regards to global load balancing, we obtain a bound in terms of the size of the edge-set of the graph; this bound is attained for star graphs. Connections to recent work on non-revisiting random walks are discussed, and some further conjectures are proposed.
subject
Load Balancing
Networks
Price Dynamics
Random Walks
Trees
contributor
Berenhaut, Kenneth S. (committee chair)
Norris, James (committee member)
Jiang, Miaohua (committee member)
date
2018-08-23T08:35:37Z (accessioned)
2023-09-01T08:30:06Z (available)
2018 (issued)
degree
Mathematics and Statistics (discipline)
embargo
2023-09-01 (terms)
identifier
http://hdl.handle.net/10339/92377 (uri)
language
en (iso)
publisher
Wake Forest University
type
Thesis

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