Differentiable Game Theory and Strategic Decision Making in Business
Location
CSU 202
Start Date
27-4-2009 10:00 AM
End Date
27-4-2009 12:00 PM
Student's Major
Mathematics and Statistics
Student's College
Science, Engineering and Technology
Mentor's Name
Brian Martenson
Mentor's Department
Mathematics and Statistics
Mentor's College
Science, Engineering and Technology
Description
Game Theory is a branch of applied mathematics often used in the social sciences. Simple games involve two players competing against each other. The goal for each player in a game is to maximize their benefit as much as possible. Game theory attempts to solve and analyze the optimal decisions for each player in order to reach their goal. In discrete game theory, these decisions are taken in turns or in steps. In differential game theory, decisions are made on a continuous basis and each player's optimal (control) strategy is studied. A standard example of differential game theory is the homicidal chauffeur pursuit problem, in which a fast car attempts to catch a slow, but very mobile, person. In this talk, we describe a differential game involving two corporations' advertising strategies. We examine how slight alterations to the rules of the game affect the optimal strategies.
Differentiable Game Theory and Strategic Decision Making in Business
CSU 202
Game Theory is a branch of applied mathematics often used in the social sciences. Simple games involve two players competing against each other. The goal for each player in a game is to maximize their benefit as much as possible. Game theory attempts to solve and analyze the optimal decisions for each player in order to reach their goal. In discrete game theory, these decisions are taken in turns or in steps. In differential game theory, decisions are made on a continuous basis and each player's optimal (control) strategy is studied. A standard example of differential game theory is the homicidal chauffeur pursuit problem, in which a fast car attempts to catch a slow, but very mobile, person. In this talk, we describe a differential game involving two corporations' advertising strategies. We examine how slight alterations to the rules of the game affect the optimal strategies.
Recommended Citation
Rud, Austen. "Differentiable Game Theory and Strategic Decision Making in Business." Undergraduate Research Symposium, Mankato, MN, April 27, 2009.
https://cornerstone.lib.mnsu.edu/urs/2009/oral-session-05/3