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Chapter 15

Game Theory

Einführung in die Spieltheorie
Einführung in die Spieltheorie
Game theory can be considered the study of strategic decision-making. It applies mathematical models to understand how people make choices when their ...
Kooperative vs. nicht-kooperative Spiele
Kooperative vs. nicht-kooperative Spiele
In game theory, a game is a scenario where players make decisions to achieve their goals, considering the possible choices of others. These games are ...
Spieler und Strategien
Spieler und Strategien
Players are individuals or groups who make decisions. These decisions impact not only their outcomes but also those of other players. For example, in a ...
Nullsummen- und Nicht-Nullsummenspiel
Nullsummen- und Nicht-Nullsummenspiel
Games can be classified as Zero-sum games and Non-zero-sum games. A Zero-sum game is one where the gain of one player is exactly equal to the loss of ...
Auszahlungen
Auszahlungen
A payoff is an outcome that a player receives from participating in a game based on the actions they and their opponents choose. It can vary depending on ...
Dominante und dominierte Strategien
Dominante und dominierte Strategien
A dominant strategy is one that results in the highest payoff for a player, no matter what the other players decide to do. Conversely, a dominated ...
Gleichgewicht in dominanten Strategien
Gleichgewicht in dominanten Strategien
Equilibrium in dominant strategies occurs when each player chooses their best strategy regardless of what others do. This simplifies analysis since the ...
Gefangener &#39s Dilemma I
Gefangener 's Dilemma I
A Nash Equilibrium occurs when all players in a game choose strategies that are best for them, given the strategies chosen by the others. No player can ...
Gefangener &#39s Dilemma II
Gefangener 's Dilemma II
The matrix provided represents the payoffs of a Prisoner's Dilemma. To find the Nash Equilibrium, first consider Suspect A's options. If B remains ...
Nash-Gleichgewicht in Spielen mit nur einem Drittel
Nash-Gleichgewicht in Spielen mit nur einem Drittel
Consider two rival mobile catering services, T-Truck and B-Van. They must independently choose to serve lunch either downtown or in the industrial area ...
Mehrere Gleichgewichte
Mehrere Gleichgewichte
Burger Queen (BQ) and King's Burger (KB) are deciding whether to launch a new spicy burger during the summer, fall, or not at all. Both chains benefit ...
Gemischte Strategien
Gemischte Strategien
Players typically select a pure strategy where they choose a specific action with certainty. However, not all games allow for pure strategies, leading ...
Die Maximin-Strategie I
Die Maximin-Strategie I
A maximin strategy is used by a player to minimize potential losses in the worst-case scenario. The strategy involves choosing the option that maximizes ...
Die Maximin-Strategie II
Die Maximin-Strategie II
Consider two companies in the electric vehicle charging market, both considering investing in ultra-fast charging technology. Here's their payoff ...
Endlich wiederholte Spiele
Endlich wiederholte Spiele
Repeated games involve playing the same game multiple times with the same players. These games are crucial in understanding how decisions evolve over ...
Unendlich wiederholte Spiele
Unendlich wiederholte Spiele
An infinitely repeated game is one in which players repeatedly engage in the same game without a predetermined end. Examples include firms repeatedly ...
Sequentielle Spiele
Sequentielle Spiele
Sequential games involve scenarios where one player moves first, and other players observe this action before making their own decisions. Decision trees ...
Sequentielles Spiel: Rückwärtsinduktion
Sequentielles Spiel: Rückwärtsinduktion
Backward induction can be used to solve sequential games and find the perfect Nash equilibrium. It works by reasoning backward from the end of the game to ...
Strategische Schritte: Nebenzahlungen
Strategische Schritte: Nebenzahlungen
Side payments are a strategy where one player offers something to the opponent to persuade them to act in a way that benefits the first player. Let's ...
Verpflichtung
Verpflichtung
In a sequential game, credible commitment means players make promises or threats they are likely to keep because they have no incentive to deviate from ...
Abschreckung vor dem Eintritt: Glaubwürdigkeit angewendet
Abschreckung vor dem Eintritt: Glaubwürdigkeit angewendet
In game theory, entry deterrence discourages competitors from entering a market by creating credible threats or signals that make entry risky. Consider ...
Ruf
Ruf
In game theory,'reputation to deter entry' explores how firms discourage competitors by building a reputation for aggressive responses. Consider ...
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