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lora16
2 months ago
15

EuroRail and Swiss Rail are hypothetical railways that have a duopoly on the route that connects the cities of Zurich and Munich

. Both are considering adding an additional daily train to this route. The payoff matrix shows the payoffs for each railway, where Swiss Rail values are in italics and EuroRail values are in bold. Assume that both companies have complete knowledge of the other's payoff matrix. Add train Add train $4,000 $1,500 $2,000 $4,000 Do not add train $7,500 $2,000 $3,000 $3,000 Do not add train Select the answer that best describes the strategies in this game. O Both companies dominant strategy is to add the train. EuroRail's dominant strategy is to add the train, whereas Swiss Rail does not have a dominant strategy. Neither company has a dominant strategy. EuroRail's dominant strategy is to not add the train, whereas Swiss Rail's dominant strategy is to add the train. Does a Nash equilibrium exist in this game? O Yes, it exists in the lower left quadrant. O No, it does not exist. Yes, it exists in the upper right quadrant. Yes, it exists in the upper left quadrant.
Business
1 answer:
Katen [3.5K]2 months ago
7 0

Answer:

Choose the response that best outlines the strategies in this scenario.

  • The dominant strategy for both companies is to add a train.

Is there a Nash equilibrium present in this game?

  • A Nash equilibrium is established when both companies add a train. (I'm unsure about your matrix structure, so I can't pinpoint the exact location).

Explanation:

We can create a matrix to analyze the optimal strategies:

                                                    Swiss Rails

                                       add train             not add train

                                      $1,500 /             $2,000 /

             add train                     $4,000                $7,500

EuroRail

      not add train    $4,000 /             $3,000 /

                                                 $2,000                $3,000

Swiss Rails' dominant strategy involves adding a train = $1,500 + $4,000 = $5,500. The additional income from not adding is $5,000.

EuroRail's dominant strategy also lies in adding a train = $4,000 + $7,500 = $11,500. The extra revenue generated by opting not to add is $5,000.

A Nash equilibrium is present since both companies select adding a train as their optimal strategy.

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