Table 2 First three prizes of the optimal ten bidder auction of Algorithm 2.

From: Designing all-pay auctions using deep learning and multi-agent simulation

w

\(w^*_1\)

\(w^*_2\)

\(w^*_3\)

Gini

0.000

1.000

0.000

0.000

0.900

0.002

0.916

0.084

0.000

0.883

0.004

0.850

0.075

0.075

0.855

0.006

0.848

0.152

0.000

0.870

0.008

0.733

0.260

0.004

0.844

0.010

0.500

0.500

0.000

0.800

0.020

0.500

0.500

0.000

0.800

0.030

0.500

0.500

0.000

0.800

0.040

0.471

0.325

0.204

0.753

0.050

0.461

0.319

0.209

0.746

0.060

0.443

0.319

0.152

0.724

  1. Prizes of fifth rank and higher are all zero. Width of the uniform distribution around bidder bids given in column d; Gini index of the design is in the last column.