A game is basically a structured form of play, normally undertaken for fun or amusement, and occasionally used as an educational tool as well. Games are quite different from work, which most often are carried out for recreation, and from literature, which are more generally an expression of philosophical or artistic aspects. Games can be of many different kinds, including sporting events, puzzles, word-guessing games, musical theater, computer games, sports games, word games, card games, etc. The variety of types of games, as well as the different kinds of people who play them, also makes the subject quite difficult to approach. If one were interested in studying the subject, it would be necessary to develop a comprehensive yet very broad definition of what constitutes a game, and a very wide range of types of games.
The first step in answering the question posed in the title is to acquaint ourselves with the basic theoretical framework upon which game theory is built. The general approach taken by game theorists is to derive the rules of a game from a set of game-theoretic principles. Most game-theorists assume that there are some essential features of games that must be present, regardless of the types of games they study. These include randomness, symmetries, competition, etc. The symmetries described by a game can be considered as forms of internal relations among the game objects and the players, the rules of which could also be considered as the forms of external relations between the rules of the game and the conditions under which each game is played.
In order to define a game, its rules and its various aspects, the game theory has to be formulated on the basis of these various aspects. In a game like tennis, for instance, the positions of the players on the court are taken into consideration. If a player is playing in front of his opponent, he will have to move towards his opponent so as to receive the ball or serve it to his opponent. Similarly, the tennis racquets, where a player hits the ball, has to be positioned such that it is hit by the opponent, who will then return the racquet to the player who hit it first.
The second step in answering the question posed in the title is to analyze a situation which exhibits a dilemma for the players involved. Dilemma is a term used to describe a situation in which there is an apparent conflict between the desires of the characters involved. For instance, if A wants B to get onto the court, B refuses to comply. However, if A prefers not to get onto the court, but B insists that it would be in his best interests to do so, A has the dilemma of either accepting or rejecting his own wishes. The central aim of the dictator game theory is to solve dilemmas using the game theory.
The third step in answering the question posed in the title is to identify how the outcome of a particular dilemma may affect the relationship between the two players, especially if the players are at an advanced stage of the game. In a dictator game, for instance, the two players involved could be aces and eights. If A chooses to move to the six free spots on the table, then B has to move to the seven free spots. If A chooses to go to the five free spots and B chooses to stay at four free spots, then the problem is solved for B. However, this results in the same dilemma for A, namely, how to prevent himself/herself from being trapped in the “four and five” spot and becoming an Ace or better.
The main aim of the Nash equilibrium is to make sure that the game results in an outcome in which each player is satisfied with their prior positions. This ensures that all players are treated equally and have equal chances of reaching the finish line. This means that there is no greater amount of satisfaction for any player than for the other player. The Nash equilibrium in a two-player game is used to ensure that there will be no change in the outcome of the game, where in one player being at a lower position than the other would alter the way the game would be played and lead to an unfair outcome.