## Oral Session 05

### Differentiable Game Theory and Strategic Decision Making in Business

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

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.

#### Share

COinS

Apr 27th, 10:00 AM Apr 27th, 12:00 PM

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