Extended essay game theory

In order to achieve a mutually productive outcome, the players must coordinate their strategies, because if each player pursues his or her greatest potential payoffs, the shared outcome is unproductive.

Each country has a choice: This process does not feature largely in global perspective p. Had the Soviets been willing to trust the U. A More Realistic Model: It is most well known in economics, especially in making strategic choice in duopoly only two sellersas well as other disciplines from biology, political science, international relations, computer science, and philosophy.

Paquette, j public funding until now. Each country has a choice: Cooperation requires that both players compromise, and forego their individual maximum payoffs. This concept is illustrated below, using the Prisoner's Dilemma Game. In his work, Cournot presents a solution to duopoly that is a restricted version of Nash equilibrium.

Rather than risking total loss, players tend to prefer the less productive outcome. The severity of the punishment that each receives is determined not only by his or her behavior, but also by the behavior of his or her accomplice.

Still, there is no "right" or best solution to the paradox presented by Prisoner's Dilemma. Game theory provides analytical tools for examining strategic interactions among two or more participants.

Grey Game Theory

In an equilibrium, the players adopt a strategy that is best for them regardless what their opponent choose and unlikely to change their strategy. In order to achieve a mutually productive outcome, the players must coordinate their strategies, because if each player pursues his or her greatest potential payoffs, the shared outcome is unproductive.

Why is Game Theory Useful? Game theory was first applied to philosophy and political science, as well as creating the concepts of core, extensive form fame, repeated games, fictitious play and Shapley value. What is Game Theory?

Example essays

The dilemma stems from the realization that if one side arms itself defects and the other does not cooperatesthe participant who develops armaments will be considered stronger and will win the game the 4 to 1 outcome.

Each is told that there are four possible outcomes: About this resource This Economics essay was submitted to us by a student in order to help you with your studies.

The collective result is unproductive, at best, and destructive, at worst. For each country, the value of arming itself is decreased because the costs of doing so -- financial costs, heightened security tensions, greater mutual destructive capabilities, etc.

In different fields of application, equilibrium concepts have different motivation depending on the field of application, albeit they often overlap or similar.

Use the following to cite this article: If neither confesses to the crime i.

Free Economics essays

It illustrates the paradoxical nature of interaction between mutually suspicious participants with opposing interests.

Use the following to cite this article: If one confesses while the accomplice does not i. In the years educational researchers in cultural psychology.

In a computer-simulated experiment, Robert Axelrod demonstrated that the "winning" strategy in a repeated prisoner's dilemma is one that he terms "tit-for-tat. In this hypothetical situation, two accomplices to a crime are imprisoned, and they forge a pact to not betray one another and not confess to the crime.

Splendid Ideas for Extended Essay Topics

By highlighting strategic choices and potential collective outcomes, game theory helped illustrate how a potentially destructive relationship could be framedmanaged, and transformed to provide mutual benefits, including avoidance of an uncontrolled arms race and nuclear war.

Yet the cost of the arms race was so high that it eventually bankrupted the Soviet Union. Shane Smith August Simple mathematical models can provide insight into complex societal relationships, by showing that mutual cooperation can benefit even mutually distrustful participants.

Game Theory

Cooperation requires that both players compromise, and forego their individual maximum payoffs.Theory of knowledge Extended essay What is the extended essay Submission deadline the Handbook of Procedures for the Diploma Programme has guidance on choosing a subject for the extended essay.

The PRC is only available to existing IB World Schools.

Master Thesis Game Theory

Game theory is a mathematical approach to studying decision making that can help explain and address social problems. It tends to focus, most often, on the choice between competition and cooperation.

hey, i'm looking to do my extended project on game theory and was wondering if anyone had good titles for the essay? When we first hear the term 'game theory' in economics lecture, we may initially thought that it is originated in economics or perhaps some other social sciences.

On the contrary, it is a branch of applied mathematics where it tries to make rationalize behavior in strategic situations, where the choice of others determines an individual's success in.

Grey Game Theory. To what extent can the Grey Game Theory be applied to Economic Decision-Making? Mathematic and Economic. This is an extended essay for the IB program.

You should research the EE process before starting and look up the guidelines. 50 Excellent Extended Essays 2 A game theoretic analysis of a variety of two-person zero-sum poker models © International Baccalaureate Organization

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