Date of Award
2025
Document Type
Dissertation
Degree Name
Doctor of Philosophy (PhD)
Department
Mathematical Sciences
Committee Chair
Guo-Hui Zhang
Committee Member
Daniel Bossaller
Committee Member
Kyungyong Lee
Committee Member
Satyaki Roy
Committee Member
Shannon Starr
Research Advisor
Guo-Hui Zhang
Subject(s)
Game theory--Mathematical models, Graph theory, Contagion (Social psychology)--Mathematical models, Cryptography
Abstract
Coordination graphical games depict interactions among a network of participants that must work together to achieve a desired outcome. Many sociological, economic, and political scenarios are modeled using these games. The flexible framework graphical games provide leaves a variety of parameters to be determined based on application, though the parameters that describe the network of participants are of central importance. There are several avenues previously unexplored in this area. In this work, a metric is introduced to describe graph fitness for a basic coordination graphical game and restrictions on the longterm behavior of the game are identified. Similarly, game outcome can be categorized in terms of graph labelings. Graph labelings provide a way to describe weighting in a graphical game that is not relative or random. Finally, using general network topology, rational secret sharing is expanded as a graphical game.
Recommended Citation
Fedrigo, Alexandra, "Generalizing coordination threshold graphical games on contagion and secret sharing through graph features" (2025). Dissertations. 454.
https://louis.uah.edu/uah-dissertations/454
Comments
Submitted ... in the Joint Applied Mathematics Program.