Grading on a Curve and Other Effects of Group Size on All-Pay Auctions

Working Paper: NBER ID: w20184

Authors: James Andreoni; Andy Brownback

Abstract: We model contests with a fixed proportion of prizes, such as a grading curve, as all-pay auctions where higher effort weakly increases the likelihood of a prize. We find theoretical predictions for the effect of contest size on effort and test our predictions in a laboratory experiment that compares two-bidder auctions with one prize and 20-bidder auctions with ten prizes. Our results demonstrate that larger contests elicit lower effort by low-skilled students, but higher effort by high-skilled. Large contests also generate more accurate rankings of students and more accurate assignment of high grades to the high-skilled.

Keywords: No keywords provided

JEL Codes: C91; C92; D47; H52


Causal Claims Network Graph

Edges that are evidenced by causal inference methods are in orange, and the rest are in light blue.


Causal Claims

CauseEffect
Student Ability (G53)Effort in Contests of Different Sizes (C72)
Contest Size (L25)Effort of Low-Skilled Students (D29)
Contest Size (L25)Effort of High-Skilled Students (D29)
Contest Size (L25)Accurate Rankings of Students (A14)
Contest Size (L25)Accurate Assignment of High Grades to High-Skilled Students (D29)

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