void Bidder_A::printHeader() const
{	printf(" acombs   "); }
double Bidder_A::getBid(double V) const
{	if (V < 0.5) return (V*(1.5-V)); else return (V); }

void Bidder_B::printHeader() const
{	printf(" deloache "); }
double Bidder_B::getBid(double V) const
{	return (1./3. + (2./3.)*(1./3. + (2./3.)*V)); }

void Bidder_C::printHeader() const
{	printf(" jadickin "); }
double Bidder_C::getBid(double V) const
{	return (2.0*V/3.0 + 1.0/3.0); }

void Bidder_D::printHeader() const
{	printf(" pgenest  "); }
double Bidder_D::getBid(double V) const
{	return (2.0*V/3.0 + 1.0/3.0); }

void Bidder_E::printHeader() const
{	printf(" kkin     "); }
double Bidder_E::getBid(double V) const
{	return (2.0*V/3.0 + 2.0/5.0); }

void Bidder_F::printHeader() const
{	printf(" rkumagai "); }
double Bidder_F::getBid(double V) const
{	if (V > 0.75) return (V); else return (V+0.5); }

void Bidder_G::printHeader() const
{	printf(" ajwang   "); }
double Bidder_G::getBid(double V) const
{	return (2.0*V/3.0 + 1.0/3.0); }

void Bidder_H::printHeader() const
{	printf(" jpym     "); }
double Bidder_H::getBid(double V) const
{	return (V*V/2. + 0.5); }
----------------------------------------------------------------------
Auction Game : 
                    Players in the Game  = 8
                    Auction Type         = Second Price Sealed Bid
                    Signal  Type         = Uniform Independent Private Values [0,1]
                    Each Bidder plays 7 matches. 

Auction Match : 
                    Bidders    per Match = 2
                    Iterations per Match = 10000000

 Matrix Display: 
 Profit of ROW while playing against COLUMN. 
 Max Points per Match: 100.0 

           jpym      ajwang    rkumagai  kkin      pgenest   jadickin  deloache  acombs   
 jpym          -       4.5901    1.9229    3.2512    4.5755    4.5806    2.9642   12.0883 
 ajwang      5.0024      -       1.7607    4.0509    5.5565    5.5584    2.4681   13.1209 
 rkumagai   -5.5371   -3.7812      -      -5.9555   -3.7821   -3.7776   -8.6236    6.5115 
 kkin        2.8365    3.5861    0.5809      -       3.5834    3.5781    0.8612   11.6248 
 pgenest     4.9964    5.5486    1.7553    4.0511      -       5.5543    2.4677   13.1465 
 jadickin    4.9977    5.5622    1.7622    4.0518    5.5592      -       2.4681   13.1181 
 deloache   -2.1889    0.6125   -1.1238   -0.7117    0.6117    0.6218      -       9.4512 
 acombs      6.6647    7.3782    2.3429    5.3880    7.3745    7.3771    3.2932      -    

Total Profits of each Bidder: 
             Total Points    % of Max Possible Points (  700.00)
             -------------   ---------------------------------
 acombs    :   39.8185                       5.69% === the most absolute profit
 pgenest   :   37.5198    ...............    5.36% --> 3-way tie in absolute profits
 jadickin  :   37.5192    ...............    5.36% --> 3-way tie in absolute profits
 ajwang    :   37.5180    ...............    5.36% --> 3-way tie in absolute profits
 jpym      :   33.9728                       4.85%
 kkin      :   26.6510                       3.81%
 deloache  :    7.2729                       1.04%
 rkumagai  :   -24.9456                      -3.56%


 Matrix Display: 
 Status of ROW while playing against COLUMN. 

           jpym      ajwang    rkumagai  kkin      pgenest   jadickin  deloache  acombs   
 jpym           -         L         W         W         L         L         W         W   
 ajwang         W         -         W         W         W         L         W         W   
 rkumagai       L         L         -         L         L         L         L         W   
 kkin           L         L         W         -         L         L         W         W   
 pgenest        W         L         W         W         -         L         W         W   
 jadickin       W         W         W         W         W         -         W         W   
 deloache       L         L         W         L         L         L         -         W   
 acombs         L         L         L         L         L         L         L         -   

Wins of each Bidder: 
             Total Wins       Winning Percentage (of    7 games)
             -------------   ---------------------------------
 jadickin  :         7                       100.00% --> 3-way tie for winners
 ajwang    :         6                        85.71% --> 3-way tie for winners
 pgenest   :         5                        71.43% --> 3-way tie for winners
 jpym      :         4                        57.14%
 kkin      :         3                        42.86%
 deloache  :         2                        28.57%
 rkumagai  :         1                        14.29%
 acombs    :         0                         0.00%