# Essay about Game Theory And Linear Algebra

1258 Words 6 Pages
Game Theory and Linear Algebra
Name
Date
University

Game Theory and Linear Algebra
The decision making process of a person has become the subject of statistical and logical analysis by scientists as they try to determine what drives decision or why individuals make decisions that may not be in their best interests. One can view the example of regular decisions that people make, such as asking for marriage, having children or probably getting a divorce. However, other decisions are not so regular. For example, one doesn’t decide to ask their date for a nightcap so often, or even ask what kind of gift they should get their partner. Every time a person is faced with a decision, there are enormous amounts of data and variables to be considered. Nonetheless, decisions cannot entirely be calculated mathematically due to the depth of information that remains unavailable to the mathematician (Myerson, 1991). For example, one cannot compute the joy of holding a baby as opposed to the costs of raising such a child. The zero-sum game provides equal playing ground for the examination of the game theory since there sum of all values should be equal to zero. This paper considers the application of game theory with zero-sum games as a form of linear algebra.
A Game
Consider a game of ‘Morra’ between two players, Isaac and Rose. The game has simplistic rules; each player can play one finger or two fingers at any given time. If the sum of total fingers is even, Isaac wins and gets ten…

## Related Documents

• ###### Linear Algebra Applied to Economics Essay

Linear Algebra Applied to Economics Input-Output Analysis Introduction: There are several non-mathematical subjects that linear algebra can be applicable too. Economics is a topic that linear algebra can be used to make a formal application, for example in Input-Output Analysis, econometrics, Game theory, and break-even point analysis. As a group we are going to be focusing on the Input-Output analysis, a type of analysis created for the purpose of describing and making predictions of complicated…

Words: 1261 - Pages: 6
• ###### Lights Out Linear Algebra Essay

The purpose of this project is to solve the game of Light’s Out! by using basic knowledge of Linear algebra including matrix addition, vector spaces, linear combinations, and row reducing to reduced echelon form. | Lights Out! is an electronic game that was released by Tiger Toys in 1995. It is also now a flash game online. The game consists of a 5x5 grid of lights. When the game stats a set of lights are switched to on randomly or in a pattern. Pressing one light will toggle it and the lights…

Words: 1099 - Pages: 5
• ###### Essay Applications of Discrete Mathematics

combinatorics. Other fields of mathematics that are considered to be part of discrete mathematics include graph theory and the theory of computation. Topics in discrete mathematics Complexity studies the time taken by algorithms, such as this sorting routine. Theoretical computer science includes areas of discrete mathematics relevant to computing. It draws heavily on graph theory and logic. Included within theoretical computer science is the study of algorithms for computing mathematical results…

Words: 2040 - Pages: 9
• ###### Essay The Real World Is Better Solved By Using Abstract Math

problem in the real world is better solved by using abstract math. Ed Yong from National Geographic states that “when learning math, abstract symbols work better than real world examples” due to important logical thinking skills learned (2008). Learning theory is considered how well a person can relate a topic and solve the problem at an understandable quicker rate. According to National Geographic, there was a new study that shows that students who are “fed a diet of real-world problems fail to apply their…

Words: 1126 - Pages: 5
• ###### Mathopoly Bagatelle an Alternative Instructional Tool in Teaching Mathematics

Presentation and Analysis 3 Chapter IV – Conclusions and Recommendation 1 M. Conclusion 3 N. Recommendation 3 O. Bibliography 3 P. Appendix 3 ABSTRACT Games are a fun way to learn and reinforce math skills. In this study, the old Bagatelle game is innovated as Mathopoly Bagatelle to enhance skills in writing equation of the line in slope-intercept form, determining the length of the sides of a triangle; and identifying types of triangle. Thirty…

Words: 4746 - Pages: 19
• ###### The Theory And Nash Equilibrium On The Economics Of The Past And Today

has been done by John Nash and his followers who developed the concept of Game Theory and Nash Equilibrium in particular. For the purpose of this essay, the Game Theory would be defined as “study of decision-making where several players must make choices that potentially affect the interests of the other players” (Turocy and Stengel, 2001). The Nash’s equilibrium would be referred as ‘the combination of strategies in a game such that neither player has any incentive to change strategies given the…

Words: 1443 - Pages:
• ###### The Impact of Using Technology on Students’ Achievement, Attitude, and Anxiety in Mathematics

study designed to determine the effects of using technology, specifically graphing calculators, on students’ achievement in College Algebra, attitude, and anxiety in mathematics. The respondents of the study belonged to two intact classes consisting of 66 freshman students from the College of Science, De La Salle University, Manila, who were enrolled in College Algebra during the first term, schoolyear 2002-2003. For purposes of this study, three groups were formed, each with 22 students – the high…

Words: 8737 - Pages: 35
• ###### Essay The Impact Of Economics On My Life And Influence On Life

saved what left. At that time, I don’t understand what is maximizing the utility under limited resources and how to use calculation to realize that maximum status. However, after all these years of learning, I realized that how close the economic theory are applied in our life and influence our living. Even though I was born in a city, I spent most of my childhood in my grandparents’ place, a small town in the inner Mongolia area. Many people there still live on grazing animals on prairie, and…

Words: 1173 - Pages:
• ###### Essay My Personal Philosophy Of Economics

environment and to understand how to face and overcome the new challenges in economics. Since my freshman year at Bard College, I have been exposed to Prof. Pavlina R. Tcherneva’s work and guidance. The enthusiasm with which she describes economic theories, and the passion with which she approaches obstacles, are a great inspiration to me. During my undergraduate career, I have pushed myself to work hard, to learn with an open mind, and to challenge myself. I want to continue this further at UC Berkeley…

Words: 1189 - Pages: 5
• ###### Essay about Mathematical Economics

Lecture 8 Lecture 9 Lecture 10 Static Economic Models and The Concept of Equilibrium Matrix Algebra Vector Space and Linear Transformation Determinant, Inverse Matrix, and Cramer’s rule Diﬀerential Calculus and Comparative Statics Comparative Statics – Economic applications Optimization Optimization–multivariate case Optimization with equality constraints and Nonlinear Programming General Equilibrium and Game Theory 1 5 10 16 25 36 44 61 74 89 1 1 Static Economic Models and The Concept of Equilibrium…

Words: 33067 - Pages: 133