The Concept Of Game Theory

Game Theory
Share

Introduction

In the present world with complex real-life situations, it becomes necessity to make optimal decision-making, specifically in controlled situations and environment. In that context, the theoretical framework to conceive social situations would be relevant. And, the concept of Game Theory would realise it. In certain respects, game theory is considered as science of strategy to take at least optimal decision-making of independent within a strategic setting.

Game Theory : Concept and Overview

The pioneers of Game Theory were mathematician John von Neumann as well as economist Oskar Morgenstern during 1940s. And, mathematician John Nash has extended their work on Game Theory and has been regarded for that. Basically, the focus of Game Theory has been the game that further serves as interactive situational model among the rational players (García & Van Veelen, 2018). It has been observed that the core of game theory is that playoff of one player would be contingent on strategy that has been incorporated by other players. The game would identify identities of the players as well as preferences and strategies available alongside the way these strategies could affect outcomes.

On the other hand, any time when situation occurs where two or more players being involved, it would be considered as quantifiable consequences or pay-outs. In that context, game theory can be used for determining most likely outcomes. To know more about the game theory students can take help from SourceEssay online assignment help Toronto experts.

Key Elements

Significantly, the definition of some involved terms in game theory are as follows;

Game: Any circumstances set that would have result, which would be dependent on actions of two or more players or decision-makers.

Players: Players are the strategic decision-makers in context of the game.

Strategy: Strategy is the complete action plan that the player would undertake within the given set of circumstances that would arise within the game.

Playoff: It is the pay out that the player would receive from reaching to certain outcome and it can be of quantifiable form (Grujić & Lenaerts, 2020).

Equilibrium: This is the point in the game where players both have made choice of their decisions and certain outcome is reached.

Significantly, in context to the above-mentioned term equilibrium particular concept can be explored that is known as Nash Equilibrium as John Nash proposed it in context to game theory.

Nash Equilibrium

Accordin to free essay writer It is the concept within the game theory where optimal result of the game would be the area where there would be no incentive for deviation from initial strategy. As a whole, any individual can receive no incremental facilitation from changing actions. The assumption would be that other players would remain consistent in their strategies.

Types of Game Theory

Cooperative and Non-Cooperative Games

  • Cooperative games are one within that player would be convinced for adopting specific strategy through negotiations and agreement among players (Takesue, 2019).
  • On the other hand, non-cooperative games would refer to games within which player would decide their strategy on their own, for profit maximisation.

Normal and Extensive Form Games

  • Normal form games would indicate the games with description of game in terms of matrix. That means strategies of the games are presented in tabular form.
  • On the other hand, extensive form games would be the one within which game description is done in form of decision tree.

Simultaneous and Sequential Move Games

  • Simultaneous move games would be the within which move of two players would be simultaneous and one player would not have any idea about the move of other players.
  • On the other hand, in sequential move game, they are being represented in extensive form and players would not deep knowledge about other’s move (Szolnoki & Chen, 2020).

Constant-Sum, Zero-Sum and Non-Zero-Sum Games

  • In a constant-sum game, all players’ outcome sum would remain constant even if the outcomes are different individually.
  • On the contrary, in zero-Sum game sum of outcome of all players is zero and gain of one player would be loss of another player.
  • However, in non-zero-sum game, the sum of outcome of all players would not be zero.

Symmetric and Asymmetric Game

  • In symmetric games strategies adopted by every player would be same and decisions would be dependent on strategies that are being used.
  • On the other hand, asymmetric game is the one within which strategies are adopted by players that are different (Ariful Kabir, Tanimoto & Wang, 2018). Decision-making in asymmetric game would be depending upon different strategies and decisions taken by the players.

Examples of Game Theory

One of the most popular examples of Game Theory is Prisoner’s Dilemma. It can be considered that two criminals are arrested for certain crime and prosecutor does not have any hard or accurate evidence to convict them. However, in order to get their confession, officials would remove prisoners from their respective solitary cells and question each one of them in separate chambers. And, the prisoners do not have any mean to communicate with each other and officials are presenting four deals. These are such as;

  1. If both prisoners confess, then, both of them each would get five year’s prison sentences
  2. If 1st prisoner confesses but 2nd prisoner does not, then, 1st prisoner would get 3 years and 2nd prisoner would get 9 years of sentence.
  3. If the 2nd prisoner confesses and 1st prisoner does not, then, 2nd prisoner would get 2 years of sentence where 1st prisoner would get 10 years of sentence.
  4. If neither confesses, then, each would get two years of sentence (Heuer & Orland, 2019).

Thus, to make rational and optimal decisions, the best option would be not to confess. However, under the viewpoint of Game Theory it can be seen that none of the prisoners is aware of the strategy or decision the other would make, so, there is chance that both prisoners would confess and receive five year of prison sentence. Besides this aforementioned game theory examples, there can be seen some other examples also such as; dictator game, volunteer’s dilemma and the centipede game. To know more take assistance from write that essay experts.

Application of Game Theory

The fields of economics and business are the involve widespread application of Game Theory. It has brought revolution in economics through addressing major issues in previous economic mathematical models. For example; neoclassical economics have struggled in understanding entrepreneurial expectations and could not handle the imperfect competition. Additionally, to understand firm’s behaviour in an oligopoly market, the application of Game Theory and its concept can be seen. On the other hand, in the field of business, game theory is highly attributable in modelling the behaviour that is competing between economic components (Bruno, Dell’Aversana & Guidetti, 2018). Business often tends to have different strategic options that might impact their ability to realise economic gain. Therefore, to sort out any dilemmas that business is facing or to make any strategic choice or decisions, application of Game Theory is highly observable.

Limitation of Game Theory

According to essay typer, the biggest limitation of game theory and its application is that likewise any other economic model, game theory further relies upon the assumptions that individuals are rational actors with having self-interest. Moreover, the theory further needs that protocol for interaction would be precise. However, in real world cases they often tend to be ambiguous. Therefore, for the purpose of economic modelling, game theory is seemed to a limited factor.

Importance and Scope of Game Theory

However, in contrast to the discussion above, it can be stated that game theory is highly important as well as significance in all aspects of decision-making. Specifically, According to thesis help experts in context to present business environment, it can be stated that application of Game Theory would help organisations in making strategic choices both within or outside of the organisations, particularly against the competitors (Yamamoto et al. 2019). In game theory, different situations are presented through simple games that could set up hypothetical scenarios for simulating real-world conditions and predicting behaviour of individuals within that situation.

On the other hand, it can be further said that from its day of inception, game theory has been contributed immensely towards the foundation of strategic observation and options. With socio-economic as well as political problems rises in complexity, further advances in techniques, methodology as well as empirical applications and investigations under game theory is considered. This certainly brings out the scope of Game Theory in context to its practical application in current business world. Therefore, in accordance with the discussions, it can be said that despite having its own shortcomings or limitations, as long as there can be seen the necessity of decision-making and strategic thinking, the relevance, as well as application of Game Theory and its widespread concept, would gain more scope (ÖZEKİN, 2019). Moreover, it is to imply that game theory would not only help in assessing strategic situations to make optimal decisions but would also help in every aspect were dealing with systems of people is essential.

Reference list

Ariful Kabir, K. M., Tanimoto, J., & Wang, Z. (2018). Influence of bolstering network reciprocity in the evolutionary spatial prisoner’s dilemma game: A perspective. The European Physical Journal B91(12), 1-10.

Bruno, A., Dell’Aversana, G., & Guidetti, G. (2018). Developing organizational competences for conflict management: the use of the prisoner’s dilemma in higher education. Frontiers in psychology9, 376.

García, J., & Van Veelen, M. (2018). No strategy can win in the repeated prisoner’s dilemma: linking game theory and computer simulations. Frontiers in Robotics and AI, 102.

Grujić, J., & Lenaerts, T. (2020). Do people imitate when making decisions? Evidence from a spatial Prisoner’s Dilemma experiment. Royal Society open science7(7), 200618.

Heuer, L., & Orland, A. (2019). Cooperation in the Prisoner’s Dilemma: an experimental comparison between pure and mixed strategies. Royal Society open science6(7), 182142.

ÖZEKİN, A. (2019). Rethinking the Prisoner’s Dilemma Game within the Framework of the Prebisch-Singer Hypothesis. Yönetim ve Ekonomi Araştırmaları Dergisi17(1), 163-178.

Szolnoki, A., & Chen, X. (2020). Gradual learning supports cooperation in spatial prisoner’s dilemma game. Chaos, Solitons & Fractals130, 109447.

Takesue, H. (2019). Roles of mutation rate and co-existence of multiple strategy updating rules in evolutionary prisoner’s dilemma games. EPL (Europhysics Letters)126(5), 58001.

Yamamoto, H., Okada, I., Taguchi, T., & Muto, M. (2019). Effect of voluntary participation on an alternating and a simultaneous prisoner’s dilemma. Physical Review E100(3), 032304.

DMCA.com Protection Status
Open chat
Need Help?
Hello! Welcome to Sourceessay.
How can I help you?