# Dominant Strategy And Its Importance In Game Theory Pdf

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*No man is an island, entire of itself. John Donne, seventeenth-century English poet.*

- Comparing a Dominant Strategy Solution vs. Nash Equilibrium Solution
- The Basics of Game Theory: Dominant Strategies and Nash Equilibrium
- On the Proper Use of Game-Theoretic Models in Conflict Studies

To view my other posts on game theory, see the list below:. Game Theory Post 5: Mixed Strategies. Without a doubt game theory is one of the most powerful and intellectually stimulating subjects I have ever studied. It can be applied to nearly every situation we find ourselves in both personally and professionally. That secret is this: there is a basic version of game theory that is brain-dead easy to understand and use.

## Comparing a Dominant Strategy Solution vs. Nash Equilibrium Solution

We read news about the possibility of an Israeli or a U. The general idea is that if Iran continues its research, and, say, an Israeli attack occurs, Iran can retaliate. Thus, any potential attacker has to foresee the consequences of its action against Iran. Iran then has to assess the magnitude of costs that deter a potential attacker. Yet, the attacker can guess that Iran has strong incentives to misrepresent its incentives in its will and ability to retaliate. Iran can in turn try to guess whether the attacker takes its stand about retaliation seriously.

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Collective intelligence Collective action Self-organized criticality Herd mentality Phase transition Agent-based modelling Synchronization Ant colony optimization Particle swarm optimization Swarm behaviour. Evolutionary computation Genetic algorithms Genetic programming Artificial life Machine learning Evolutionary developmental biology Artificial intelligence Evolutionary robotics. Reaction—diffusion systems Partial differential equations Dissipative structures Percolation Cellular automata Spatial ecology Self-replication. Rational choice theory Bounded rationality. Game theory is the study of mathematical models of strategic interaction among rational decision-makers. Originally, it addressed zero-sum games , in which each participant's gains or losses are exactly balanced by those of the other participants.

## The Basics of Game Theory: Dominant Strategies and Nash Equilibrium

In the game theory, different players adopt different types of strategies on the basis of the outcome, which is obtained by adopting the strategy. Therefore on the basis of outcome, the strategies of the game theory are classified as pure and mixed strategies, dominant and dominated strategies, minimax strategy, and maximin strategy. Let us discuss these strategies in detail. In a pure strategy, players adopt a strategy that provides the best payoffs. In other words, a pure strategy is the one that provides maximum profit or the best outcome to players. Therefore, it is regarded as the best strategy for every player of the game.

Oil and gas resources have been considered valuable assets, associated with potential conflicts due to distinct interests of many agents involved in their exploration, such as producing and consuming countries, governments and companies. These conflicts can show up under many situations and market conditions, such as partnerships, joint development, optimal outputs and reserve maximization. Therefore, this paper proposes to examine relevant realistic and real-world cases of the oil and gas industry in the form of 2 x 2 strategic games, aiming to investigate game theory approaches to aid in the discussion and resolution of the main dilemmas faced. Due to the wide range of possible conflicts, from small disagreements to international military campaigns, there is a great demand for formal methodologies to understand and evaluate realworld conflicts Hipel et al. Arsenyan et al. The main goal is to predict the consequences of making potential choices for all players involved in order to select the best possible action Kelly,

Game theory is the study of the ways in which interacting choices of economic agents produce outcomes with respect to the preferences or utilities of those agents, where the outcomes in question might have been intended by none of the agents. The meaning of this statement will not be clear to the non-expert until each of the italicized words and phrases has been explained and featured in some examples. Doing this will be the main business of this article. First, however, we provide some historical and philosophical context in order to motivate the reader for the technical work ahead. Game theory in the form known to economists, social scientists, and biologists, was given its first general mathematical formulation by John von Neuman and Oskar Morgenstern For reasons to be discussed later, limitations in their formal framework initially made the theory applicable only under special and limited conditions.

## On the Proper Use of Game-Theoretic Models in Conflict Studies

Evolutionary game theory studies the behavior of large populations of agents who repeatedly engage in strategicinteractions. Changes in behavior in these populations are driven either by natural selection via differences in birth and death rates, or by theapplication of myopic decision rules by individual agents. The figures in Sects. Skip to main content Skip to table of contents.

Game theory was introduced in the previous chapter to better understand oligopoly. Recall the definition of game theory. Game theory is the study of strategic interactions between players.

Oil and gas as the non-renewable resources are considered very valuable for the countries with petroleum economics. These resources are not only diffused equally around the world, but also they are common in some places which their neighbors often come into conflicts. Consequently, it is vital for those countries to manage their resource utilization. Lately, game theory was applied in conflict resolution of common resources, such as water, which is a proof of its efficacy and capability.

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