Logic and strategy are an integral part of human existence. Individuals make strategic decisions every day; whether they are deciding who to spend their time with, what to offer in a trade, or how to accomplish something that they want. Game theory is the study of all strategic decision making. However, my paper is on the topic of algorithmic game theory, which is the application of game theory to algorithm design. “Algorithmic game theory is the area in the intersection of algorithm design and game theory whose goal is to design algorithms in logical and strategic environments.” (Roberto and Goodrich, 2002) In order to better discuss the topic of algorithmic game theory, I am first going to discuss the two main elements; game theory and algorithm design.
First let us discuss the basics of game theory itself. Game theory is defined as “the study of mathematical models of conflict and cooperation between intelligent, rational decision-makers”. (Myerson, 1991) Also called ‘strategic decision making’ game theory is essentially studying the decisions that people will make in interactive situations with given inputs and outputs. Game theory is based on the principles that players will act logically and that players are looking out for their own interests; basically it assumes that players are trying to maximize their personal gain by using strategy. Game theory helps us better understand human decision making by focusing on the rational aspects of decision science. A ‘game’ is
In real life, the theory cannot provide a straightforward strategy used by the competitor or to be used against the competitor because it is not clear what strategy the competitor has chosen (Li & Yu,2016).
The decisions or strategies one company chooses will likely motivate other competitors to respond. Using the game theory allows a company to assess and understand more about itself and its competitors so that it can adjust and shape the competition to maximize its win probability (Johnson, 2014). Some examples of how A&D companies apply the game theory in their decision making are:
Some of the concepts/models that are applied to strategic problems vary in meaning depending on the setting one is in whether it be in the actual real world or in the classroom. These
Games can be very hard. States can be only observes to a certain extend. Multiple agents choose Actions, stochastic pays off and state transition depends on state and other
Can a man be driven from humble humanity to gross inhumanity by circumstance or situation? What effect do one's choices and training have on his morals? At some point in our lives we will all be forced to answer questions similar to these, and two characters in Connell's story "The Most Dangerous Game" are not exempt from these life decisions. Sanger Rainsford and General Zaroff are both wealthy, both are hunters, and eventually both men are put into situations where critical choices must be made. The choices the men make are derived from different situations, but both have similar results.
Good post and I choose game theory as well. Game theory deals with any situation in which the reward of any one player (called the payoff) depends on not only his or her own actions but also on those of other players in the game. Game theory provides a technique that is suited to investigate such interactions, but as applied in the research literature it is a far more mathematical treatment than might be suggested by our attempt to explain its nature in a simple way.
From the show 's introduction in December 2005, NBC has had tremendous success with the game show Deal or No Deal. The game show, which was created in the Netherlands, pits acontestant against the mysterious banker. The contestant is trying for the case with $1 million,while the banker 's stated goal is to get the contestant to go home with as little money as possible while also trying to keep the game going for as long as possible. Deal or No Deal is a unique game show in that it takes virtually no skill on the part of the contestant. As long as the contestant can count to 26 (the number of cases), he can play the game. But this lack of skill requirement allows us, as economists, to study how people make decisions in a situation where all
Inference and supposition define a great deal of the untraceable origins of game theory. Disjoint and disconnected contributions characterize game theory, yet somehow culminate in a well-defined field of applied mathematics. Some believe the Talmud, the central text of Rabbinic Judaism, beginning in the first millennium predicts modern game theory through its treatment of inheritance division (Open Option 1). Yet, if one observes close enough, commentators throughout ancient history reveal game-theoretic insight; for example, Plato’s texts Laches and the Symposium and Socrates’ Battle of Delium, a soldier’s dilemma on the battlefront. Amid countless historical military decisions, leaders unconsciously used game-theoretic logic, similar to the
Now think about the game of chess. Each chess piece has its own value and moves in a different way. Chess is a game of strategic thinking. It’s only by using the unique aspects of each piece and integrating them into your over game plan that you win in chess.
In this paper, the efficiency of the ultimatum game theory was assessed to resolve water conflicts between agricultural and environmental water needs in Zarrinehroud River Basin, northwest of Iran. Irrigated agriculture and its water needs were to be adjusted in order to mitigate the downstream Lake Urmia drying condition. The great need of food production in the region and in the whole country in one hand, and the worsening environmental impacts due to the drying lake, on the other hand, are clearly conflicting issues.
One of the biggest challenges that we encountered were to determine what course of action to take in case that Pleo gets in the way of another Pleo, or that he has encountered that the other Pleo has caused a blockage on it’s original plan. We therefore had to decide on how we were going to approach this possibility. We then realized that a good way of approaching the issue would be by looking at it from the perspective of game theory. With game theory, we assume that the other team is acting on a rational way, and that the decisions that Pleo was going to make were going to be based on the best possible outcome of this interaction. We compared the possible outcomes against the rubric that was provided to us, and assigned
Game theory cannot always predict reliable outcomes for real-life situations as it is more an
Nash equilibrium is a solution theory of a non-cooperative game which involves two or more
Nash equilibrium can be described as the end of the game sequence. Player gains a posteriori experience during the sequences of the game which in turn help them to form the belief and gain knowledge that lead to the end point, the Nash equilibrium, hence there is no further knowledge that can be gained. In the usual finite set of games the marking of the end point, Nash equilibrium, will allow us to make better or optimal decision. If our decision making process doesn’t satisfy the Nash equilibrium, we must always be able to improve our decision and choice that we made till we hit that equilibrium.
Game Theory, the analysis of the concepts used in social reasoning when dealing with situations of conflict (Rubinstein, 1991), is one of many methods used to provide rational strategies towards the making of decisions. Game theory provides logical and mathematical models towards decision-making which are applied to real-life situations such as