Problem
Alice and Tiffany are playing a simple one-stage game. Each simultaneously chooses either 1 or 2. If they both choose 1, Alice pays Tiffany $1. If they both choose 2, Alice pays Tiffany $2. If they choose different numbers, Tiffany pays Alice $1. Draw a table showing the two players' strategies and payoffs. Are any strategies dominant, weakly dominated, or dominated? Indicate each player's best responses. Is there a Nash equilibrium? Solve for a mixed strategy equilibrium.
The response should include a reference list. Double-space, using Times New Roman 12 pnt font, one-inch margins, and APA style of writing and citations.