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Gym X and Bodyworks Are Both Going to Open an Exercise

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Gym X and Bodyworks are both going to open an exercise facility in the local market. Each company may decide to open a facility concentrating on cardio equipment for customers interested in mostly aerobic workouts. Another alternative for each company is to open a facility concentrating on muscle building equipment for customers interested mostly in bodybuilding workouts. The pay-off matrix for each company dependent upon their strategies and that of their competitor is given below. Gym X and Bodyworks are both going to open an exercise facility in the local market. Each company may decide to open a facility concentrating on cardio equipment for customers interested in mostly aerobic workouts. Another alternative for each company is to open a facility concentrating on muscle building equipment for customers interested mostly in bodybuilding workouts. The pay-off matrix for each company dependent upon their strategies and that of their competitor is given below.    Does either player have a dominant strategy? Does the game have any Nash equilibria? What is the maximin strategy of each player in the game?
Does either player have a dominant strategy? Does the game have any Nash equilibria? What is the maximin strategy of each player in the game?


Definitions:

Bradycardia

A medical condition characterized by an abnormally slow heart rate, typically less than 60 beats per minute in adults.

Tachycardia

A condition characterized by an abnormally fast heart rate, typically defined as a resting heart rate over 100 beats per minute.

Hypotension

A condition where blood pressure is lower than the normal range, which can cause symptoms like dizziness or fainting.

Neurologic Status

The current state of the nervous system's functioning, including cognitive processes, sensory perception, motor coordination, and reflexes.

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