SBR Bracket Contest Scenario Analysis

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  • Ganchrow
    SBR Hall of Famer
    • 08-28-05
    • 5011

    #1
    SBR Bracket Contest Scenario Analysis
    The following is an analysis of winning scenarios for the SBR contest. (Note that SBR employees are ineligible to receive any prize money.)

    The "1st", "2nd", "3rd", and "4th" columns refer to the number of scenarios where the player finishes 1st through 4th respectively.

    The "Any" column refers to the number of scenarios where the player anywhere in the money (1st - 10th place).

    Players tying for a given spot are a fractional finish, so if 3 players tie for 1st place, each will be awarded a third of 1st though 3rd places (with the next player in the money receiving a credit for 4th place).

    The "Average" column refers to the dollar weighted average for that player across all scenarios. Please note that these are not expectations, but rather simple averages, judging all possible scenarios equally likely. I've included the raw data for anyone wishing to calculate actual expectations.

    Players with averages ≥ $0:
    <style> .GANCH { font-size: 10px; font-family: Verdana, Arial, Helvetica, sans-serif; }</style> <table border=0 cellpadding=2 cellspacing=2> <tr> <td align=left class=GANCH> Player </td> <td align=left class=GANCH> 1st </td> <td align=left class=GANCH> 2nd </td> <td align=left class=GANCH> 3rd </td> <td align=left class=GANCH> 4th </td> <td align=left class=GANCH> 5th </td> <td align=left class=GANCH> 6th </td> <td align=left class=GANCH> 7th </td> <td align=left class=GANCH> 8th </td> <td align=left class=GANCH> 9th </td> <td align=left class=GANCH> 10th </td> <td align=left class=GANCH> Any </td> <td align=left class=GANCH> Average
    </td> </tr> <tr> <td align=left class=GANCH> The HG </td> <td align=right class=GANCH> 2 </td> <td align=right class=GANCH> 0 </td> <td align=right class=GANCH> 0 </td> <td align=right class=GANCH> 0 </td> <td align=right class=GANCH> 0 </td> <td align=right class=GANCH> 0 </td> <td align=right class=GANCH> 0 </td> <td align=right class=GANCH> 0 </td> <td align=right class=GANCH> 0 </td> <td align=right class=GANCH> 0 </td> <td align=right class=GANCH> 2 </td> <td align=right class=GANCH> $2,000.00
    </td> </tr> <tr> <td align=left class=GANCH> MadCapper </td> <td align=right class=GANCH> 0 </td> <td align=right class=GANCH> 1 </td> <td align=right class=GANCH> 1 </td> <td align=right class=GANCH> 1 </td> <td align=right class=GANCH> 1 </td> <td align=right class=GANCH> 0 </td> <td align=right class=GANCH> 0 </td> <td align=right class=GANCH> 0 </td> <td align=right class=GANCH> 0 </td> <td align=right class=GANCH> 0 </td> <td align=right class=GANCH> 2 </td> <td align=right class=GANCH> $556.25
    </td> </tr> <tr> <td align=left class=GANCH> HedgeHog </td> <td align=right class=GANCH> 0 </td> <td align=right class=GANCH> 1 </td> <td align=right class=GANCH> 1 </td> <td align=right class=GANCH> 1 </td> <td align=right class=GANCH> 1 </td> <td align=right class=GANCH> 0 </td> <td align=right class=GANCH> 0 </td> <td align=right class=GANCH> 0 </td> <td align=right class=GANCH> 0 </td> <td align=right class=GANCH> 0 </td> <td align=right class=GANCH> 2 </td> <td align=right class=GANCH> $556.25
    </td> </tr> <tr> <td align=left class=GANCH> onlker </td> <td align=right class=GANCH> 0 </td> <td align=right class=GANCH> 1 </td> <td align=right class=GANCH> 0 </td> <td align=right class=GANCH> 0 </td> <td align=right class=GANCH> 0 </td> <td align=right class=GANCH> 0 </td> <td align=right class=GANCH> 0 </td> <td align=right class=GANCH> 0 </td> <td align=right class=GANCH> 0 </td> <td align=right class=GANCH> 0 </td> <td align=right class=GANCH> 1 </td> <td align=right class=GANCH> $500.00
    </td> </tr> <tr> <td align=left class=GANCH> darko3131 </td> <td align=right class=GANCH> 0 </td> <td align=right class=GANCH> 0 </td> <td align=right class=GANCH> 0 </td> <td align=right class=GANCH> 1 </td> <td align=right class=GANCH> 0 </td> <td align=right class=GANCH> 1 </td> <td align=right class=GANCH> 0 </td> <td align=right class=GANCH> 0 </td> <td align=right class=GANCH> 0 </td> <td align=right class=GANCH> 0 </td> <td align=right class=GANCH> 2 </td> <td align=right class=GANCH> $312.50
    </td> </tr> <tr> <td align=left class=GANCH> wildcatfan42 </td> <td align=right class=GANCH> 0 </td> <td align=right class=GANCH> 0 </td> <td align=right class=GANCH> 1 </td> <td align=right class=GANCH> 0 </td> <td align=right class=GANCH> 0 </td> <td align=right class=GANCH> 0 </td> <td align=right class=GANCH> 0 </td> <td align=right class=GANCH> 0 </td> <td align=right class=GANCH> 0 </td> <td align=right class=GANCH> 0 </td> <td align=right class=GANCH> 1 </td> <td align=right class=GANCH> $250.00
    </td> </tr> <tr> <td align=left class=GANCH> rake922 </td> <td align=right class=GANCH> 0 </td> <td align=right class=GANCH> 0 </td> <td align=right class=GANCH> 0 </td> <td align=right class=GANCH> 0 </td> <td align=right class=GANCH> 1 </td> <td align=right class=GANCH> 0 </td> <td align=right class=GANCH> 0 </td> <td align=right class=GANCH> 1 </td> <td align=right class=GANCH> 0 </td> <td align=right class=GANCH> 0 </td> <td align=right class=GANCH> 2 </td> <td align=right class=GANCH> $237.50
    </td> </tr> <tr> <td align=left class=GANCH> lechu </td> <td align=right class=GANCH> 0 </td> <td align=right class=GANCH> 0 </td> <td align=right class=GANCH> 0 </td> <td align=right class=GANCH> 0 </td> <td align=right class=GANCH> 0 </td> <td align=right class=GANCH> 1 </td> <td align=right class=GANCH> 0 </td> <td align=right class=GANCH> 0 </td> <td align=right class=GANCH> 0 </td> <td align=right class=GANCH> 1 </td> <td align=right class=GANCH> 2 </td> <td align=right class=GANCH> $137.50
    </td> </tr> <tr> <td align=left class=GANCH> ego74 </td> <td align=right class=GANCH> 0 </td> <td align=right class=GANCH> 0 </td> <td align=right class=GANCH> 0 </td> <td align=right class=GANCH> 0 </td> <td align=right class=GANCH> 0 </td> <td align=right class=GANCH> 0 </td> <td align=right class=GANCH> 1 </td> <td align=right class=GANCH> 0 </td> <td align=right class=GANCH> 0 </td> <td align=right class=GANCH> 0 </td> <td align=right class=GANCH> 1 </td> <td align=right class=GANCH> $87.50
    </td> </tr> <tr> <td align=left class=GANCH> Truckerace </td> <td align=right class=GANCH> 0 </td> <td align=right class=GANCH> 0 </td> <td align=right class=GANCH> 0 </td> <td align=right class=GANCH> 0 </td> <td align=right class=GANCH> 0 </td> <td align=right class=GANCH> 0 </td> <td align=right class=GANCH> 1 </td> <td align=right class=GANCH> 0 </td> <td align=right class=GANCH> 0 </td> <td align=right class=GANCH> 0 </td> <td align=right class=GANCH> 1 </td> <td align=right class=GANCH> $87.50
    </td> </tr> <tr> <td align=left class=GANCH> jt16 </td> <td align=right class=GANCH> 0 </td> <td align=right class=GANCH> 0 </td> <td align=right class=GANCH> 0 </td> <td align=right class=GANCH> 0 </td> <td align=right class=GANCH> 0 </td> <td align=right class=GANCH> 0 </td> <td align=right class=GANCH> 0 </td> <td align=right class=GANCH> 0 </td> <td align=right class=GANCH> 1 </td> <td align=right class=GANCH> 0 </td> <td align=right class=GANCH> 1 </td> <td align=right class=GANCH> $62.50
    </td> </tr> <tr> <td align=left class=GANCH> pjengle </td> <td align=right class=GANCH> 0 </td> <td align=right class=GANCH> 0 </td> <td align=right class=GANCH> 0 </td> <td align=right class=GANCH> 0 </td> <td align=right class=GANCH> 0 </td> <td align=right class=GANCH> 0 </td> <td align=right class=GANCH> 0 </td> <td align=right class=GANCH> 0 </td> <td align=right class=GANCH> 0 </td> <td align=right class=GANCH> 0 </td> <td align=right class=GANCH> 1 </td> <td align=right class=GANCH> $62.50
    </td> </tr> <tr> <td align=left class=GANCH> topher79 </td> <td align=right class=GANCH> 0 </td> <td align=right class=GANCH> 0 </td> <td align=right class=GANCH> 0 </td> <td align=right class=GANCH> 0 </td> <td align=right class=GANCH> 0 </td> <td align=right class=GANCH> 0 </td> <td align=right class=GANCH> 0 </td> <td align=right class=GANCH> 0 </td> <td align=right class=GANCH> 0 </td> <td align=right class=GANCH> 0 </td> <td align=right class=GANCH> 1 </td> <td align=right class=GANCH> $62.50
    </td> </tr> <tr> <td align=left class=GANCH> wtt0315 </td> <td align=right class=GANCH> 0 </td> <td align=right class=GANCH> 0 </td> <td align=right class=GANCH> 0 </td> <td align=right class=GANCH> 0 </td> <td align=right class=GANCH> 0 </td> <td align=right class=GANCH> 0 </td> <td align=right class=GANCH> 0 </td> <td align=right class=GANCH> 0 </td> <td align=right class=GANCH> 0 </td> <td align=right class=GANCH> 0 </td> <td align=right class=GANCH> 1 </td> <td align=right class=GANCH> $62.50
    </td> </tr> <tr> <td align=left class=GANCH> donjuan </td> <td align=right class=GANCH> 0 </td> <td align=right class=GANCH> 0 </td> <td align=right class=GANCH> 0 </td> <td align=right class=GANCH> 0 </td> <td align=right class=GANCH> 0 </td> <td align=right class=GANCH> 0 </td> <td align=right class=GANCH> 0 </td> <td align=right class=GANCH> 0 </td> <td align=right class=GANCH> 0 </td> <td align=right class=GANCH> 1 </td> <td align=right class=GANCH> 1 </td> <td align=right class=GANCH> $25.00
    </td> </tr> </table>

    Please note that while I've made every attempt to provide as accurate information as possible, mistakes do happen. As such I can provide no guarantees as to the accuracy of any data within this thread.
  • Ganchrow
    SBR Hall of Famer
    • 08-28-05
    • 5011

    #2
    see above
    Comment
    • Ganchrow
      SBR Hall of Famer
      • 08-28-05
      • 5011

      #3
      Following are average player results given the 8 possible combinations of national championships winners and losers. Once again, the dollar values shown are simple averages and not expectations.

      Only players with averages ≥ $0 are shown.
      Comment
      • Ganchrow
        SBR Hall of Famer
        • 08-28-05
        • 5011

        #4

        Kansas over Memphis
        Code:
        The HG         	$2,000 
        onlker         	$750 
        HedgeHog       	$750 
        wildcatfan42   	$400 
        rake922        	$325 
        lechu          	$225 
        Truckerace     	$175 
        jt16           	$125 
        pjengle        	$125 
        topher79       	$125
        Memphis over Kansas
        Code:
        The HG         	$2,000 
        MadCapper      	$1,000 
        darko3131      	$500 
        onlker         	$362.50 
        HedgeHog       	$362.50 
        wildcatfan42   	$225 
        ego74          	$175 
        rake922        	$150 
        wtt0315        	$125 
        donjuan        	$50 
        lechu          	$50
        Comment
        • Ganchrow
          SBR Hall of Famer
          • 08-28-05
          • 5011

          #5
          The attached file (raw.zip) contains two text files: res.txt and eng.txt.

          res.txt contains for each of the (currently) 32,768 scenarios and money finishers: place #, player name, player score, and player wins (all tab-separated). Each scenario is given as a binary code prepended by the string "==". The ith digit of the code refers to the winner of the ith game where a "0" would mean a victory by the team on top (as shown in the SBR bracket listing) and a "1" a victory by the team on the bottom. The 1st 8 games are the round of 16, the next 4 the round of 8, the next 2 the round of 4, and the last 1 the national championship. Games are ordered within each round starting from the top left of the SBR brackets, moving down to the bottom left, and then continuing on the top right, and moving down to the bottom right.

          eng.txt contains for each plain English outcomes (same game ordering as above) the actual dollar result for each money finisher.

          These files will be updated at the end of every coming round.

          Download raw.zip here (915 bytes)
          Comment
          • dwaechte
            SBR Hall of Famer
            • 08-27-07
            • 5481

            #6
            Very cool stuff Ganch. Glad to see I've still got a shot.
            Comment
            • SBR Lou
              BARRELED IN @ SBR!
              • 08-02-07
              • 37863

              #7
              Wow that looks like a ton of work to compute. Great stuff.
              Comment
              • Justin7
                SBR Hall of Famer
                • 07-31-06
                • 8577

                #8
                Ganch -

                can you run the same sims using moneylines to figure odds of the next match up, and Sagarin ratings for theoretical match ups after that?
                Comment
                • donjuan
                  SBR MVP
                  • 08-29-07
                  • 3993

                  #9
                  can you run the same sims using moneylines to figure odds of the next match up, and Sagarin ratings for theoretical match ups after that?
                  Why not just use the futures markets where you get odds for reaching the Final 4, championship game and champion?
                  Comment
                  • Justin7
                    SBR Hall of Famer
                    • 07-31-06
                    • 8577

                    #10
                    Originally posted by donjuan
                    Why not just use the futures markets where you get odds for reaching the Final 4, championship game and champion?
                    I asked Olympic if they could pay me based on my expected value instead of the actual results. Sadly, they said no.
                    Comment
                    • donjuan
                      SBR MVP
                      • 08-29-07
                      • 3993

                      #11
                      I asked Olympic if they could pay me based on my expected value instead of the actual results. Sadly, they said no.
                      I'd even take my expected growth.
                      Comment
                      • Iwinyourmoney
                        SBR Posting Legend
                        • 04-18-07
                        • 18368

                        #12
                        So since I am nowhere on the downloaded files, does that mean I have no shot to win?
                        Comment
                        • Art Vandeleigh
                          SBR MVP
                          • 12-31-06
                          • 1494

                          #13
                          Man, I about fell out of my chair when I saw that first list, wtf am I doing there?

                          I'm currently in 317th place, and the only reason I'm that high up is because my username starts with the letter "A". If I was Zachary Vandeleigh or something like that, I'd be listed as 343rd place. Also I have no real dogs left in my pound. I guess that's the power of picking a number 4 seed to go all the way.

                          Go Washington State and their Tenacious D!!!
                          Comment
                          • Ganchrow
                            SBR Hall of Famer
                            • 08-28-05
                            • 5011

                            #14
                            Originally posted by crazyl
                            Wow that looks like a ton of work to compute.
                            And it was even tougher than you might have thought -- my abacus was broken at the time I ran the computations.
                            Comment
                            • Ganchrow
                              SBR Hall of Famer
                              • 08-28-05
                              • 5011

                              #15
                              Originally posted by Justin7
                              Ganch -

                              can you run the same sims using moneylines to figure odds of the next match up, and Sagarin ratings for theoretical match ups after that?
                              I'm still waiting for a complete and coherent futures market to emerge.

                              In the meantime, the raw data is available for anyone wishing to perform his or her own expected value analysis.
                              Comment
                              • Ganchrow
                                SBR Hall of Famer
                                • 08-28-05
                                • 5011

                                #16
                                Originally posted by Iwinyourmoney
                                So since I am nowhere on the downloaded files, does that mean I have no shot to win?
                                The analysis does not take into account the fact that SBR employees are not prize eligible. This effect might create a potential winner where none previously existed.

                                Other than that ... no, you have no shot.
                                Comment
                                • Ganchrow
                                  SBR Hall of Famer
                                  • 08-28-05
                                  • 5011

                                  #17
                                  Following are expected values for each player's bracket entry (for EVs ≥ $0). The probabilities on which the Evs were based follow below:
                                  <style> .GANCH { font-size: 10px; font-family: Verdana, Arial, Helvetica, sans-serif; }</style> <table border=0 cellpadding=2 cellspacing=2> <tr> <td align=left class=GANCH> Player </td> <td align=left class=GANCH> EV
                                  </td> </tr> <tr> <td align=left class=GANCH> The HG </td> <td align=right class=GANCH> $2,000.00
                                  </td> </tr> <tr> <td align=left class=GANCH> onlker </td> <td align=right class=GANCH> $556.00
                                  </td> </tr> <tr> <td align=left class=GANCH> HedgeHog </td> <td align=right class=GANCH> $556.00
                                  </td> </tr> <tr> <td align=left class=GANCH> MadCapper </td> <td align=right class=GANCH> $500.00
                                  </td> </tr> <tr> <td align=left class=GANCH> wildcatfan42 </td> <td align=right class=GANCH> $312.50
                                  </td> </tr> <tr> <td align=left class=GANCH> darko3131 </td> <td align=right class=GANCH> $250.00
                                  </td> </tr> <tr> <td align=left class=GANCH> rake922 </td> <td align=right class=GANCH> $237.50
                                  </td> </tr> <tr> <td align=left class=GANCH> lechu </td> <td align=right class=GANCH> $137.50
                                  </td> </tr> <tr> <td align=left class=GANCH> Truckerace </td> <td align=right class=GANCH> $87.50
                                  </td> </tr> <tr> <td align=left class=GANCH> ego74 </td> <td align=right class=GANCH> $87.50
                                  </td> </tr> <tr> <td align=left class=GANCH> wtt0315 </td> <td align=right class=GANCH> $62.50
                                  </td> </tr> <tr> <td align=left class=GANCH> jt16 </td> <td align=right class=GANCH> $62.50
                                  </td> </tr> <tr> <td align=left class=GANCH> topher79 </td> <td align=right class=GANCH> $62.50
                                  </td> </tr> <tr> <td align=left class=GANCH> pjengle </td> <td align=right class=GANCH> $62.50
                                  </td> </tr> <tr> <td align=left class=GANCH> donjuan </td> <td align=right class=GANCH> $25.00
                                  </td> </tr> </table>
                                  Comment
                                  • Ganchrow
                                    SBR Hall of Famer
                                    • 08-28-05
                                    • 5011

                                    #18
                                    And here are the conditional probabilities assumed (data comes from an unspecified combination of Pinnacle+WSEX+Greek):

                                    Code:
                                    Team 		Championship
                                    Kansas (1)	50%
                                    Memphi (1)	50%

                                    Complaints as to the perceived accuracy of the above figures will not be entertained.
                                    Comment
                                    • Checkerboard
                                      SBR Hall of Famer
                                      • 05-15-06
                                      • 7799

                                      #19
                                      Thanks Ganchrow. This had to be a fair amount of work!
                                      Comment
                                      • slacker00
                                        SBR Posting Legend
                                        • 10-06-05
                                        • 12262

                                        #20
                                        Yes. Thanks Ganchrow.

                                        Nice to know I've still got a shot with the two big favs.

                                        C'mon UCLA over UNC in the final.
                                        Comment
                                        • Sportsgirl
                                          SBR MVP
                                          • 09-10-06
                                          • 4493

                                          #21
                                          Originally posted by Ganchrow
                                          And it was even tougher than you might have thought -- my abacus was broken at the time I ran the computations.

                                          That sounds painful.
                                          Comment
                                          • Ganchrow
                                            SBR Hall of Famer
                                            • 08-28-05
                                            • 5011

                                            #22
                                            Data has been updated to include last night's results.
                                            Comment
                                            • Robyn
                                              SBR Hall of Famer
                                              • 02-05-08
                                              • 9681

                                              #23
                                              I am very sad that Tennessee effed us.
                                              Comment
                                              • RickySteve
                                                Restricted User
                                                • 01-31-06
                                                • 3415

                                                #24
                                                No update?
                                                Comment
                                                • Sean
                                                  SBR Wise Guy
                                                  • 08-01-05
                                                  • 985

                                                  #25
                                                  Ganchrow should be back in a couple of days with updates.
                                                  Comment
                                                  • donjuan
                                                    SBR MVP
                                                    • 08-29-07
                                                    • 3993

                                                    #26
                                                    I have ~$220 in equity by my calculations. If you give me the scenarios where you cash, I can give you your equity (based on my estimations) as well.
                                                    Comment
                                                    • rake922
                                                      SBR Posting Legend
                                                      • 12-23-07
                                                      • 11692

                                                      #27
                                                      Don what am I?
                                                      Comment
                                                      • RickySteve
                                                        Restricted User
                                                        • 01-31-06
                                                        • 3415

                                                        #28
                                                        Originally posted by rake922
                                                        Don what am I?
                                                        Your equity is $19.86.
                                                        Comment
                                                        • RickySteve
                                                          Restricted User
                                                          • 01-31-06
                                                          • 3415

                                                          #29
                                                          Originally posted by donjuan
                                                          I have ~$220 in equity by my calculations. If you give me the scenarios where you cash, I can give you your equity (based on my estimations) as well.
                                                          I have you at $230.33.
                                                          Comment
                                                          • HedgeHog
                                                            SBR Posting Legend
                                                            • 09-11-07
                                                            • 10128

                                                            #30
                                                            Keep in mind that the prize money will be in the form of "free play" which is worth roughly half that of actual cash prizes. I bring this up in case anyone is considering hedging.

                                                            PRIZES:
                                                            • Total Purse: $5000 from Las Palmas
                                                            Prizes awarded in the form of free play accounts at Las Palmas• All cash prizes subject to 5x rollover and Las Palmas terms & conditions• Top 10 Finishers’ accounts at Las Palmas will be credited as follows --

                                                            1. $2,000
                                                            2. $1,000
                                                            3. $500
                                                            4. $400
                                                            5. $325
                                                            6. $225
                                                            7. $175
                                                            8. $150
                                                            9. $125
                                                            10. $100
                                                            Comment
                                                            • rake922
                                                              SBR Posting Legend
                                                              • 12-23-07
                                                              • 11692

                                                              #31
                                                              Alot of the above information is wrong... I think
                                                              Comment
                                                              • donjuan
                                                                SBR MVP
                                                                • 08-29-07
                                                                • 3993

                                                                #32
                                                                Keep in mind that the prize money will be in the form of "free play" which is worth roughly half that of actual cash prizes. I bring this up in case anyone is considering hedging.
                                                                When you get free plays you should not be betting +100 lines.

                                                                Rake,

                                                                What information is wrong?

                                                                RickySteve,

                                                                Thanks.
                                                                Comment
                                                                • HedgeHog
                                                                  SBR Posting Legend
                                                                  • 09-11-07
                                                                  • 10128

                                                                  #33
                                                                  Originally posted by donjuan
                                                                  When you get free plays you should not be betting +100 lines.

                                                                  Rake,

                                                                  What information is wrong?

                                                                  RickySteve,

                                                                  Thanks.
                                                                  Agree about the use of free plays. Just wanted to give people the heads up on the actual prizes. With Free Plays you forfeit your stake on each bet, so their value is certainly less than actual cash.
                                                                  Comment
                                                                  • rake922
                                                                    SBR Posting Legend
                                                                    • 12-23-07
                                                                    • 11692

                                                                    #34
                                                                    I just find it hard to beleive I have an Equity of $19.86

                                                                    (I'm in 3rd place as of now)
                                                                    Comment
                                                                    • donjuan
                                                                      SBR MVP
                                                                      • 08-29-07
                                                                      • 3993

                                                                      #35
                                                                      I believe there was a decimal error there.
                                                                      Comment
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