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Evaluating the Plausibility of a Predicted Outcome
Consider two separate one-shot, simultaneous-move games, each with a single, unique equilibrium outcome. In which scenario is the predicted equilibrium outcome more plausible or reliable as a forecast of the players' actual behavior? Justify your answer by analyzing the payoff structures and the incentives they create for each player.
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Evaluating the Plausibility of a Predicted Outcome
Consider the following strategic interaction between two competing firms, InnovateCorp and TechGiant, who must simultaneously decide whether to 'Advertise' or 'Not Advertise'. The table shows the profits (in millions) for each firm based on their decisions, with InnovateCorp's profit listed first in each cell. The single equilibrium outcome in this game is for both firms to 'Advertise'.
TechGiant: Advertise TechGiant: Not Advertise InnovateCorp: Advertise (10, 5) (15, 0) InnovateCorp: Not Advertise (6, 8) (12, 2) Which statement best analyzes the plausibility of this predicted outcome?
True or False: If a strategic interaction between two perfectly rational players has only one Nash equilibrium, it is guaranteed that the players will choose the strategies that lead to this outcome.
Plausibility of a Dominant Strategy Equilibrium
Plausibility of a Dominant Strategy Equilibrium
Designing Games with Varying Equilibrium Plausibility
A game is known to have only one Nash equilibrium. Match each characteristic of how that equilibrium is reached with the corresponding level of confidence an economist would have in predicting it as the actual outcome.
Consider two strategic games, Game A and Game B, both of which have a single, unique equilibrium outcome at (Top, Left). The payoffs are shown for the Row Player and Column Player, respectively.
Game A
Column: Left Column: Right Row: Top (10, 10) (8, 9) Row: Bottom (9, 8) (0, 0) Game B
Column: Left Column: Right Row: Top (10, 10) (5, -10) Row: Bottom (-10, 5) (0, 0) Based on the payoff structures, in which game is the (Top, Left) equilibrium a more plausible prediction of the actual outcome, and why?
Evaluating the Predictive Power of a Unique Nash Equilibrium
Enhanced Predictive Power of Dominant Strategy Equilibria
In a strategic interaction between two competing firms, the only outcome where neither firm has an incentive to unilaterally change its strategy is when both choose a 'Low Price'. Why does this single stable outcome serve as a strong prediction for how the firms will behave?