(Solution) - Paul and Susie each pick an integer between 1 and -(2025 Original AI-Free Solution)

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Academic Level: Undergrad. (yrs 3-4)

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Paul and Susie each pick an integer between 1 and 5 (inclusive). They make their choices simultaneously. If they pick the same number, each receives a payoff (in dollars) equal to the number they named. If they pick different numbers, they receive nothing. Draw a table representing this game, showing the players' strategies and payoffs. Does either player have a dominant, weakly dominated or dominated strategy? Identify all the Nash equilibria. Are all equally plausible? Why or why not?