#### Title

Zero-sum Games and the Multiplication Game

#### Date

5-30-2013 10:20 AM

#### Location

Math and Nursing Building (MNB) 104

#### Department

Mathematics

#### Session Chair

Hamid Behmard

#### Session Title

Mathematics Senior Project Presentations 2

#### Faculty Sponsor(s)

Hamid Behmard

#### Presentation Type

Symposium

#### Abstract

In this paper, we consider two people zero-sum games, which are some of the most popular games in game theory. In these types of games, each player has a finite set of pure strategies. Certain zero-sum games possess pure strategy equilibriums. In that case, playing the pure strategy that result on the game equilibrium guarantees a value to each player independent of the other player strategy. In cases that the zero-sum game doesn’t possess an equilibrium point using pure strategies, the concept of mixed strategies is used. In these cases, the Minimax Theorem guarantees that an equilibrium pair of mixed strategies exists.

#### Recommended Citation

Figueroa, Jose, "Zero-sum Games and the Multiplication Game" (2013). *Academic Excellence Showcase Schedule*. 19.

http://digitalcommons.wou.edu/aes_event/2013/mth/19

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Zero-sum Games and the Multiplication Game

Math and Nursing Building (MNB) 104

In this paper, we consider two people zero-sum games, which are some of the most popular games in game theory. In these types of games, each player has a finite set of pure strategies. Certain zero-sum games possess pure strategy equilibriums. In that case, playing the pure strategy that result on the game equilibrium guarantees a value to each player independent of the other player strategy. In cases that the zero-sum game doesn’t possess an equilibrium point using pure strategies, the concept of mixed strategies is used. In these cases, the Minimax Theorem guarantees that an equilibrium pair of mixed strategies exists.