In a stand mixer, cream 1 stick of softened butter, 1 cup of granulated sugar, and 1/2 cup of packed brown sugar in a large mixer bowl until well blended.
Add the pumpkin and egg, and beat on high speed for approximately 3 minutes until smooth and fluffy.
In a separate bowl, combine 2.5 cups flour, 3 tsp. baking powder, 2 tsp. cinnamon, 1/2 tsp. allspice, 1/2 tsp. pumpkin pie spice, and 1/2 tsp. coarse salt.
With the mixer on low speed, slowly add flour mixture to pumpkin mixture until combined.
Use a cookie scoop to drop cookies onto a cookie sheet lined with parchment paper.
Bake cookies at 350 degrees F. for 15-18 min., until golden brown around the edges.
Allow cookies to cool on the baking sheet for a minute, then transfer to a wire cooling rack.
Store cookies in an airtight container. This recipe makes approximately 28 cookies.