X
Lost password?

Don't have an account?
Gain Access Now

X

Receive free daily analysis

NFL
NBA
NHL
NASCAR
CFB
MLB
MMA
PGA
ESPORTS
BETTING

Already have an account? Log In

X

Forgot Password


POPULAR FANTASY TOOLS

Expert Advice
Articles & Tools
Import Your Leagues
Daily Stats & Leaders
All Pitcher Matchups
Compare Any Players
Compare Any Players
Rookies & Call-Ups
24x7 News and Alerts

The Mathematics of Fantasy Baseball: An Injured Fernando Tatis

Ariel Cohen weighs the pros and cons of trading Fernando Tatis Jr. in fantasy baseball leagues following his shoulder injury that could cost him several months of the 2021 MLB season using risk management and game theory techniques.

The start of the 2021 Major League Baseball season has arrived notwithstanding adversity.

The entire Mets versus Nationals series was postponed due to a number of players who tested positive for COVID-19. Prior to the season’s start, there were a number of talented major leaguers who succumbed to injury.

Eloy Jimenez and Adalberto Mondesi were absent from their respective team’s opening day lineup. Jimenez is likely to miss the majority of the 2021 season, while Mondesi could potentially return sometime in May.

Be sure to check all of our fantasy baseball lineup tools and resources:

 

Tatis' Status

Earlier this week, we learned of a major injury to San Diego Padres superstar Fernando Tatis Jr. that could shake up the fantasy landscape.

The full extent of Tatis’s injury and timetable is unclear to the public. This is typical. Here is what we know so far:

General manager A.J. Preller has told the media that Tatis will not need surgery for the time being. The injury has been classified as a shoulder subluxation, which is a partial dislocation of the shoulder resulting from movement beyond the normal range of the joint. Further exams later indicated a slight labrum tear.

Teams are not always completely forthcoming [to the public] on their medical knowledge of their players. If the Padres want to gain leverage in trade talks, it may not be in their best interest to fully disclose long-term injury details.

The day after the occurrence, my fantasy partner and RotoBaller injury expert, Reuven Guy posted this on Twitter, in comparison:

We also know that Tatis had experienced shoulder issues on two other occasions in the past few weeks. After Fernando produced just three defensive errors all of last season, Tatis committed five errors in the first five games of 2021 – two fielding and three throwing blunders. He clearly had been playing injured leading up to his unfortunate swing on Monday night.

Guy believes that Tatis will require corrective surgery at some point. Whether he may be able to hold off going under the knife until the offseason and is able to play through instability is unknown at this time. As for the timetable for Fernando's return to the field, it could range anywhere from the most optimistic estimates of 3 or 4 weeks to the real possibility of missing the entirety of the 2021 season.

I currently own exactly zero shares of Fernando Tatis in fantasy baseball. For snake drafts, my KDS preference of this draft season was to select in the middle portion of the order, or at the very top of drafts. With a top-two ADP, and in accordance with my preference of Mookie Betts & Jacob deGrom to others, Tatis was never an option that materialized for me. For auctions, his market price was set above my calculated cost. I valued Tatis at just over $40 in 15-team mixed leagues, whereas it typically costs $45 or sometimes more to roster him.

But for many of you, Tatis might lie as a crucial member of your fantasy squads. The question now is how to deal with his associated roster spot. As always, I prefer to look at the situation from a probabilistic / game theory point of view.

 

Value

Today, we will focus on the perspective of a redraft league. Keeper/dynasty league formats are far more complicated.

First, let’s assume that whenever Tatis returns, his skills will completely remain at his true talent level. That is likely a faulty assumption, but for now, let’s roll with it. Next, rather than coming up with an exact projected number of at-bats for Tatis – let’s perform a sensitivity test surrounding his possible 2021 playing time scenarios and assign some probabilities to those outcomes.

Above you will see the possible Fernando Tatis outcomes for 2021 with scaled statistics. There is no scenario where Tatis will amass 500+ AB in 2021. However, for each at-bat threshold thereafter, I assigned a probability point density. Again, I am not a medical expert – so these are rough likelihoods based on my understanding and knowledge of the situation. I tabulated a one-quarter chance that Tatis will miss the entire 2021 season.

You might find that my date of return distribution to be too conservative, or perhaps you find it not punitive enough. That may be. The idea in this article is to provide you with a methodology of looking at Tatis’s rest of season value and how to govern his roster spot.

To give a sense of the diminished values, above is the same analysis but with a replacement player’s stats supplemented for the time that Tatis will miss. I added in roughly the equivalent of Brandon Crawford’s stats - someone who approximately represents what one might find upon the waiver wire.

I also generated the associated full season 5x5 rotisserie values. To give you an idea at each playing time scenario of what Tatis would be worth according to the ATC Projections (for a 15-team mixed league), I listed an equivalently valued shortstop.

Taking the weighted average, I estimate that Fernando Tatis is now worth on the order of $17 on an expected basis. The projected value of holding onto Tatis is roughly comparable to playing Marcus Semien all season long.

If that sounds on the low side to you, citing “But this is TATIS!” – please remember that the above factors in a 25% chance that Fernando’s season is over – which could even be an under-estimation.

 

Risk

There is more to it than simply expected value. With the projected mid-level shortstop value expectation of Tatis, comes a greater amount of risk. The surrounding process risk is now larger from the sheer uncertainty of his return date, as well as his increased risk for re-injury. Plus, the longer he is out – the further away he will be from game action. He may require some extra minor league rehab time, further extending his absence.

The associated parameter risk is also elevated. We cannot be certain that his true talent will resemble that of an elite player upon return. Looking at the five games that he started in 2021 (playing through the shoulder injury), he batted a meager .167. The shoulder injury will be present all 2021 long. He might institute a [temporary] batting swing change, or may be instructed not to steal bases. The point is that the shape of his fantasy baseball profile is a large unknown, and is likely to be diminished.

The first principle of business is that a greater risk requires a greater return. In a vacuum, I would prefer a less risky, but similarly priced Marcus Semien over the now highly variable Fernando Tatis.

 

Trade Market

Now that we have a feel for Tatis’s value potential and associated risks, a few questions ensue.

If you own Tatis in a league:

  • Should you seek out a trade?
  • What should you look to exchange him for?
  • What will the market offer for him?

If you do NOT own Tatis:

  • What type of trade would be beneficial to your team?
  • Will the Tatis owner be interested in such a trade?

To help us answer these questions, I enlisted my Twitter followers for the following two polls:

The results of the polls are fascinating. Both elicited a very wide range of responses. Almost a quarter of the field would trade Tatis for less than 20 cents on the dollar, while a third wouldn’t accept anything less than a small downgrade.

On the opposite end, a quarter of the respondents would only chance a trade for Tatis by exchanging a low-end shortstop. Forty percent of the crowd would trade their #1 SS for a stab at Tatis’s upside.

If you aggregate the results, the average seller will accept a 50% reduction in value from full price. The average buyer though, expects a 67% discount. The difference between the two is quite normal, and frankly, on the small side. Combining this small average departure of expectations with the large spread of perceived tendencies, it seems that the market should be primed for trade discovery. If you are risk-averse and own Tatis, I would expect that you could find a willing trade partner. If you are risk-seeking, you should at the very least approach your league’s Tatis owner to gauge his asking price. Uncertainty breeds differences of opinion, which ripens fruitful trade conditions.

 

Action

Onto the “What should you do?” question … let’s start with the seller’s point of view.

If you glance back at the playing time sensitivity chart, you will see that the upside of Tatis equates to some 75% of value. A trade for Xander Bogaerts or Bo Bichette is a slam dunk. You should be unquestionably willing to accept this. Treat the 25% value loss as a sunk cost from your perspective. But you should be able to accept a lower-valued player.

On the underside, a trade for Paul DeJong (of 15 cents on the dollar) leaves you with an automatic $35 value hole, which may be too great to overcome in order to compete for a league title. Unless the chances of a total Tatis season loss rises to over 50%, the probability of a first-place league finish remains higher with Tatis on your fantasy squad than by selling for marginal production over replacement.

My advice is to trade for roughly the expected value of Tatis’s scenarios, or slightly better. Trading for 50-60 cents on the dollar would be optimal, and it would decrease your team’s aggregate risk in the process. Gleyber Torres or Javier Baez would be on my target list. Perhaps make a similar (or more favorable offer) in your deeper mixed leagues, and even try asking simultaneously for a small pitcher upgrade.

On the buying side, there is no need to trade at all. Any acquisition should establish an increase in your chances of winning a league title. In order to evaluate whether the addition of Tatis to your roster makes sense, you’ll have to perform a risk/reward assessment. At par value, a trade would increase your team’s risk without a corresponding increase in team value. You would be foolish to trade Dansby Swanson or Carlos Correa away for an uncertain situation.

However, if you can trade a lower and more replaceable asset on your squad, it would be a risk worth taking. Paul DeJong’s profile can largely be replicated on the waiver wire, and is valued at half of Tatis’s expected ROS projection. I would take on some added risk for an expected doubling of the initial investment made on DeJong’s current roster slot.

On this week’s RotoWire podcast, Fred Zinkie discussed an idea for the buying side. He suggested to offer a starting pitcher for Tatis, if you have the depth. Depending upon your league size and format, middle to low-end pitchers can be more easily replaced on the waiver wire, and thus are more expendable. I will add that with exchanging a pitcher [for Tatis], the increase in aggregate team risk will not be as great, keeping the team’s risk/reward dynamic steadier.

 

Conclusion

I cannot think of a recent time in fantasy baseball where a consensus top-five player exhibited the possibility for a season-ending injury during the first week of the season. This is not a situation that we are used to.

Think probabilistically.

Think economically.

Account for both value and risk when making team decisions.

For the current situation, both on the selling side and on the buying side, the trade market is worth exploring. There is enough of a range of owner tendencies to allow for the possibility of an accretive purchase.

If you are in a non-trading league with injured list slots, the optimal play is simple. Insert Tatis in an IL slot, and pick up the best available replacement for your roster.

If you are in a non-trading league without injured list slots, with Tatis’s elite upside level of play, you would be wise to wait a few more weeks until more concrete information arises.

Many thanks to Reuven Guy of RotoBaller (@mlbinjuryguru) for lending his medical knowledge/opinion of the Tatis injury for this article. He also directed me to Tatis’s five defensive errors in 2021.



Download Our Free News & Alerts Mobile App

Like what you see? Download our updated fantasy baseball app for iPhone and Android with 24x7 player news, injury alerts, sleepers, prospects & more. All free!



More Fantasy Baseball Advice




POPULAR FANTASY TOOLS

Expert Advice
Articles & Tools
Import Your Leagues
Daily Stats & Leaders
All Pitcher Matchups
Compare Any Players
Compare Any Players
Rookies & Call-Ups
24x7 News and Alerts

REAL-TIME FANTASY NEWS

Nico Collins

Ruled Out Late on Monday Night With Concussion
Nico Collins

Suffers Head Injury on Monday Night
Jahmyr Gibbs

Blows Up For 218 Total Yards, Two Touchdowns in Win
Mike Evans

to Miss Most of the Year With Broken Clavicle
Jalen Williams

Ruled Out for Season Opener
Brandon Woodruff

Expects to Be Ready for Opening Day
Mike Evans

Ruled Out Monday With Concussion, Shoulder Injury
Mike Evans

Making his Return in Primetime Against Detroit
Emeka Egbuka

Officially Active on Monday Night
Dereck Lively II

Mavericks Exercise Fourth-Year Option on Dereck Lively II
Patrik Laine

Remains Out Monday
Dyson Daniels

Agrees to Four-Year Rookie Contract Extension on Monday
Jared McCann

Out Against Flyers
Carson Soucy

Ready to Return Monday
Ja Morant

Expected to Suit Up Wednesday
Zach Bogosian

Unavailable Against Rangers
Marco Rossi

Misses Monday's Action
Shayne Gostisbehere

Sits Out Monday's Game
Christian Braun

Inks Contract Extension With Nuggets on Monday
Mark Stone

Out Week-to-Week
Michael Penix Jr.

Dealing With Bone Bruise in Foot, Considered Day-to-Day
Coby White

Ruled Out For First Two Weeks
Jayden Daniels

Avoids Long-Term Injury, Status Unknown for Week 8
Bilal Coulibaly

Ruled Out For Opener, Early Season Absence Expected
Alperen Sengün

Alperen Sengun Locked In As Starter For Rockets Opener
Jaylen Brown

Fully Cleared, Set To Lead Celtics In Season Opener
Tua Tagovailoa

Dolphins Sticking With Tua Tagovailoa as Their Starting QB
Josh Hart

Back Injury Puts Opening Night Status In Doubt
Daniel Gafford

Registers Limited Practice, Questionable for Opener
Brock Bowers

Expected Back After the Bye
Darren Waller

Week-to-Week Following MRI
Kendre Miller

Out for the Year After Suffering Torn ACL
Christian Braun

There's "Cautious Optimism" Around Christian Braun Signing Contract Extension
Bryce Young

Expected to Miss Week 8
Nikola Topić

Nikola Topic Has Third-Year Option Picked Up
Cason Wallace

Thunder Pick Up Fourth-Year Option for Cason Wallace
Brooklyn Nets

Nets Waive Kobe Bufkin
Justin Fields

to Lose Starting Job After Week 7 Benching?
Haywood Highsmith

Suffers Setback While Rehabbing Knee
Reinier de Ridder

Reinier De Ridder Suffers His First UFC Loss
Brendan Allen

Wins Back-To-Back Fights
Kevin Holland

Drops Decision
Mike Malott

Wins Third Fight In A Row
Jordan Addison

Leads Minnesota With 128 Receiving Yards in Loss
Marlon Vera

Loses Third Consecutive Fight
Aiemann Zahabi

Gets A Razor-Thin Split Decision Win
Jasmine Jasudavicius

Suffers First-Round TKO Loss
Manon Fiorot

Gets Back In The Win Column
Ryan Donato

Leads Blackhawks to Victory Sunday
Tom Wilson

Registers Two Assists, Seven Hits Sunday
Conor Garland

Sends Out Two Assists Sunday
David Pastrnak

Pots Two Goals in Losing Effort
Davey Grant

Suffers Submission Loss
Emmitt Finnie

Notches Three Points Against Oilers
Dylan Larkin

Totals Four Points in Sunday's Win
Charles Jourdain

Gets First-Round Submission Win
Matt Frevola

Gets Dominated At UFC Vancouver
Matt Frevola

Kyle Nelson Dominates Matt Frevola
Josh Jacobs

Saves Fantasy Performance With Two Touchdowns Against Cardinals
Javonte Williams

Records Second 100-Yard Rushing Game in Week 7
Darren Waller

Suffers Pectoral Strain, Will Undergo MRI
Jake Ferguson

Scores Two TDs Despite Return of Top Dallas Receiver
Rashee Rice

Heavily Involved in Debut, Scores Two Touchdowns Against Raiders
Toumani Camara

Gets Four-Year Contract Extension from Portland
Shaedon Sharpe

Blazers Agree on a Contract Extension
Kevin Durant

Lands Two-Year Contract Extension with Houston
George Springer

Returns to Lineup for Game 6 of ALCS
Domantas Sabonis

to Miss at Least a Few Games, Will be Re-Evaluated in One Week
Spencer Knight

Takes on Ducks Sunday
Shakir Mukhamadullin

Sharks Place Shakir Mukhamadullin on Injured Reserve
Kasperi Kapanen

Exits With Injury Sunday
Jonathan Lekkerimaki

Suffers Injury Sunday
Filip Chytil

Injured on Sunday
Teddy Blueger

Hurt in Sunday's WIn
Jason Dickinson

Remains Out Sunday
CFB

Colorado State Fires Head Coach Jay Norvell After Four Seasons
CFB

Florida Fires Head Coach Billy Napier After Four Years
Nils Lundkvist

Expected to Miss Time
Chase Elliott

Can Chase Elliott Deliver Another Clutch Win to Make Championship 4?
William Byron

Seeks First Win at Talladega to Overcome Las Vegas Crash
Chase Briscoe

Likely to Finish Worse Than he Starts
Kyle Larson

Despite No Wins on Drafting Tracks, Kyle Larson is Improving
Tyler Reddick

Despite Winning at Talladega, Tyler Reddick's Drafting Record Is Not So Hot
Ross Chastain

Poor Qualifying Makes him a Strong DFS Option at Talladega
Chris Buescher

Excellent Crash Avoidance Could Reap Dividends at Talladega
Ty Gibbs

If Ty Gibbs' Team Executes a Better Strategy, he Could Win at Talladega
Daniel Suarez

Hopes for Clutch Talladega Win to Remain in the NASCAR Cup Series
Josh Berry

Might Contend at Talladega
Austin Dillon

Doesn't Lead Enough at Talladega to Contend for Wins
Rob Dillingham

Timberwolves Exercise Team Option on Rob Dillingham
Brendan Donovan

Undergoes Sports Hernia Surgery
George Springer

Exits Game 5 Early After HBP on his Knee
Jackson Chourio

Back in Game 4 Lineup Against Dodgers
Iván Herrera

Ivan Herrera Has Bone Spurs Removed From his Elbow
Brendan Allen

Set For UFC Vancouver Main Event
Reinier de Ridder

Reinier De Ridder A Favorite At UFC Vancouver
Mike Malott

Looks For His Third Consecutive Win
Kevin Holland

Set For UFC Vancouver Co-Main Event
Aiemann Zahabi

Looks For His Seventh Consecutive Win
Marlon Vera

Returns At UFC Vancouver
Jasmine Jasudavicius

Looks To Extend Her Win Streak
Manon Fiorot

Looks To Bounce Back
Aoriqileng

Aori Aoriqileng Looks To Rebound
CFB

Curt Cignetti Signs Eight-Year, $11.6 Million Extension With Indiana
Carlos Rodón

Carlos Rodon Unlikely to Be Ready for Opening Day After Elbow Surgery
Anthony Santander

Removed From ALCS Roster With Back Injury
Jackson Chourio

Aggravates Hamstring, Pulled Early in Game 3 of NLCS
Aaron Judge

Will Not Need Elbow Surgery
Anthony Volpe

Won't be Ready for Start of Next Season
Gerrit Cole

Won't be Ready for Opening Day Next Year
CFB

Jermod McCoy Officially Out for Alabama Matchup
CFB

Jam Miller Questionable to Face Tennessee
CFB

Arizona State QB Sam Leavitt Probable For Saturday
Anthony Volpe

Undergoes Left-Shoulder Surgery
CFB

Jayden Gibson No Longer with Oklahoma Program

RANKINGS

QB
RB
WR
TE
K
DEF
RANKINGS
C
1B
2B
3B
SS
OF
SP
RP