Date of Publication

6-23-2022

Document Type

Dissertation

Degree Name

Doctor of Philosophy in Mathematics

Subject Categories

Mathematics

College

College of Science

Department/Unit

Mathematics and Statistics Department

Thesis Advisor

Ederlina G. Nocon

Defense Panel Chair

Yvette F. Lim

Defense Panel Member

Isagani B. Jos
Angelyn R. Lao
Karen P. Nocum
Renato Alberto U. Victoria, Jr

Abstract/Summary

We present three models of a symmetric bimatrix game called a "ward game," which exhibits the warding strategies of players in popular multiplayer online battle arena (MOBA) games such as Defense of the Ancients 2 (DOTA 2) and League of Legends (LOL). We analyze the games from the perspective of two opposing players who are maximizing their gold resources by considering each team as one player in every model. Given some conditions on the parameters of a ward game, we establish the set of symmetric Nash equilibria by using the notions of classical game theory. We apply these results in a population setting by identifying the set of evolutionarily stable strategies (ESS) on a repeated ward game by using evolutionary game theory (EGT) concepts. We also use reaction networks to analyze the dynamics of the game, compare some of these results to that of classical game theory and EGT approaches, and identify the best decisions for a player given some conditions on the parameters of the reaction system.

Abstract Format

html

Language

English

Format

Electronic

Physical Description

[viii], 81 leaves

Keywords

Games; Game theory

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Embargo Period

8-14-2022

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