Neil Paine writes about sports using data and analytics. Previously, he was Sports Editor at FiveThirtyEight.
Pitching is about keeping hitters guessing — and about walking the line between overusing certain pitches to the point of predictability and underusing others that have quietly confounded opponents in limited doses. Now more than ever, each MLB pitcher’s repertoire is scientifically calibrated, from the shape of the ball’s arc as it approaches the plate to the spin it carries and how it looks coming out of the hand. Modern pitchers take their pitch selection as seriously as a Michelin chef planning a gourmet menu.
But even with all of that sophistication, there are inefficiencies in how pitchers deploy their stuff. Many years ago, I dove into the game theory behind pitch selection, and specifically which pitchers were throwing their different pitch types in an optimal way versus those who could stand to tweak their pitch mix a bit to achieve better results.
The thought process went like this: We know from Statcast data how frequently each pitcher throws each type of pitch, and thanks to websites such as FanGraphs, we also know how effective each pitcher’s pitches have been at preventing runs. (We now even know how good each pitch should be based on its characteristics, such as velocity, movement, spin and other factors.)
From this data, we can then find cases where there are mismatches between a pitcher’s most effective pitches and the ones he uses the most.
Of course, not every pitch can be scaled up without diminishing returns. But in general, pitchers who lean more heavily on their best pitches are likely getting more out of their repertoire than those who don’t.
I then developed what I call the Nash Score for pitchers (so named for the Nash equilibrium of Game Theory, which describes a state in which any change in strategy from the current balance would result in less optimal results). Nash Scores work by comparing the runs a pitcher saves with each pitch in his arsenal to the average runs saved by all of his other pitches combined.
Pitchers with low (good) Nash Scores have achieved a close balance in effectiveness between their most-used pitches and the rest of their repertoire, which implies that any change in pitch mix would make them less effective overall. Meanwhile, pitchers who have high (bad) Nash Scores are either using ineffective pitches too much or not using their best pitches enough, suggesting that a reallocation might be needed.
Now is a good time to update Nash Scores for the current era of MLB pitchers.
Let’s highlight the top-15 qualified starters and relievers who have achieved the greatest balance according to their Nash Scores over the past three seasons (with recent years weighted more), as well as the 15 who might be leaving performance on the table.
But first, here is a chart showing all qualified MLB pitchers — using a three-year weighted pitch count — with their Nash Scores plotted against their Wins Above Replacement:
Now, let’s get to the rankings, starting with the most balanced starters in our sample:
Irvin, Crochet among most optimized starters
Note: Listed rates for pitch types are usage share over the past three seasons and run values per 100 pitches for that pitch, relative to the average for the rest of their pitches combined.
The award for the league’s most balanced starter belongs to perhaps an unlikely name: Washington Nationals righty Jake Irvin. Irvin has been an average pitcher at best in his three MLB seasons, with an ERA of 107 (100 is average and lower is better) and a FIP (Fielding Independent Pitching) of 114, and he has never even had 2 WAR in a season yet. But in terms of maximizing his repertoire, the case can be made that no pitcher is getting more out of what he has to work with.
Over the past three seasons (again, with more weight on more recent data), Irvin has almost exclusively used three pitches: four-seam fastball, curve and sinker. Each was within 0.2 runs per 100 pitches of the average of his other offerings, meaning he found the mix where basically all of his pitches are equally effective — the whole point of this entire exercise.
Now, Irvin has drifted a bit away from equilibrium in 2025, using more of his curve (and less of his fastballs) despite them being more effective, so it’s worth keeping an eye on whether he continues to optimize his Nash Score. (Especially since his best-shaped pitch is actually his slider, which he almost never uses!)
Among the rest of the top 15, several other pitchers showed a knack for maximizing their stuff. Garrett Crochet — the nasty left-hander who broke out last year and was dealt from the Chicago White Sox to the Boston Red Sox — pairs an elite fastball with an even more dominant cutter (plus a bit of a sinker-slider), giving him one of the game’s best (and most equalized) pitch mixes.
Fellow Red Sox hurler Kutter Crawford follows the same template, with similarly effective four-seamers and cutters making the bulk of his repertoire. Others strike the balance differently: Jesus Luzardo and Freddy Peralta use more off-speed stuff, while Ryan Pepiot and Corbin Burnes rely on strong fastballs as their primary pitches — but only use them about half the time. And then there are guys such as Taj Bradley and Taijuan Walker, who lead with shaky main pitches, but throw them so infrequently that the rest of their pitches help equalize the overall mix.
It’s also no surprise to see Tarik Skubal, arguably the best pitcher in baseball, grace a list of hurlers who pick from their arsenals in the most efficient way. What everyone on the list has in common is a pitch selection largely in equilibrium, where effectiveness and usage are closely aligned.
Sewald, Poche among most optimized relievers
You’ll likely notice that the top relievers tend to be more optimized (with lower Nash Scores) than the top starters, which is probably an artifact of a few factors: First, relievers usually throw just a couple of pitch types, so it’s inherently easier to align usage with effectiveness when there’s less to balance. Second, those pitches are often thrown in short bursts at maximum intensity, which allows pitchers to rely more heavily on their strengths without diminishing returns. And finally, relievers don’t need to navigate a lineup multiple times, so they can lean on their best pitches more without the same concerns about stamina or predictability that starters face.
That said, some relievers do a better job of balancing than others. Though he has been nursing an injured shoulder since April, Cleveland’s Paul Sewald had been the best over the past few seasons — the two pitches he used 99.7% of the time, a four-seamer and a slider, were both within five hundredths of a run of each other in terms of effectiveness per 100 pitches. The batter knows one is likely coming… but they’re both equally tough to hit.
This was a very common theme among the top relievers, too: Each of the next four names on the list (Colin Poche, Tanner Scott, Joe Jimenez and Alexis DĆaz), and eight of the top 11, used a version of that same pitch mix, with fastballs and sliders of near-equal effectiveness making up the vast majority of their pitches. Hey, if it works, it works.
But those who bucked the trend are also interesting. Philadelphia’s Orion Kerkering, for instance, flipped the tendency and relied mostly on a slider with the four-seamer as a change-of-pace pitch. Milwaukee’s Elvis Peguero was exactly 50-50 on sliders and sinkers (though both abandoned him earlier this season, and he has bounced between MLB and AAA), while Nats closer Kyle Finnegan introduces a splitter into the equation — and there’s longtime veteran closer Craig Kimbrel with his knuckle-curve (though it hurt his Nash Score).
Not all of these relievers have been lights-out, but many were, serving as great examples of how to stay effective even when hitters have a good guess at what’s coming.
Blanco, Kelly among least optimized starters
Now we get into some truly fascinating cases, where it’s important to remember that you can still be a great pitcher while still having a deeply strange, and seemingly suboptimal, mix of pitches.
There seem to be a few ways to land on this list: First, and most straightforwardly, you could have a far less effective No. 1 pitch than the rest of your arsenal, meaning you might stand to throw it less and the others more. Both of the top two above, Houston’s Ronel Blanco and Arizona’s Merrill Kelly, have primary four-seamers that are at least 1.5 runs worse per 100 pitches than their other options, and secondary off-speed pitches that are at least 2.4 runs better than the rest — classic cases where the Nash Score would suggest bringing them closer to balanced until the difference begins to flatten out.
Then there are cases such as Joe Ryan, Michael Wacha, Dylan Cease, Chris Sale and Michael King, in which their No. 1 option is clearly the best, but they throw other, much less effective pitches nearly as much, reducing the advantage of a dominant primary pitch. Spamming the top choice might lead to diminishing returns, but there’s room to give there before it starts being a suboptimal strategy.
And finally, we have the odd case of Paul Skenes — and Gavin Williams too, but Skenes is more fun to dissect — in which somehow the primary four-seamer is less effective than the other pitches, and so is the secondary breaking pitch, suggesting the need to dig deeper into the bag more often. But how can you argue that Skenes isn’t doing the most he can? He literally leads all pitchers in WAR. The thought he could optimize his stuff even more is terrifying.
Kahnle, Bender among least optimized relievers
Finally, we get to the less optimal end of the reliever spectrum. And as stable as the opposite side was, with a bunch of guys using their boring fastball-slider combos to carefully record outs, this one contains more varied pitch mixes. Well-represented, for instance, is the phenomenon I found with R.A. Dickey the first time around — that despite his knuckleball being both his best pitch and the one he used most often, the Nash Score implied he should throw it even more because it was much more effective than the rest of his offerings.
While we don’t have any knucklers in the bunch this time, we do have guys such as Detroit Tigers setup man Tommy Kahnle, whose lead pitch is a changeup (not a fastball) so effective that it’s nearly four runs per 100 pitches better than the rest of his repertoire. Pitchers who work backwards like this must mix in fastballs to keep hitters honest — but at the same time, the fastballs are much less valuable that using them slightly less might be good even if it makes the change less effective. (Anthony Bender, Brenan Hanifee, Steven Okert, David Robertson, Greg Weissert and Cade Smith were in this category as well, among others.)
Just as odd were the cases of Ryan Helsley, Justin Lawrence and John Brebbia, whose primary pitches were far less effective than their secondary options, despite each essentially having only two pitches to work with. The numbers might be asking for those hierarchies to be flipped around.
And finally, there are guys such as Kenley Jansen, who spam one solid pitch — but they don’t have much else to work with, so any deviation worsens performance, even if the Nash Score still dings them for imbalance.
In the end, no metric — not even one rooted in Game Theory — can capture the full complexity of pitching. But Nash Scores do give us a window into something that’s often hard to pin down: How much a pitcher gets out of what they’re working with, and whether they’re winning the rock-paper-scissors aspect of the batter-pitcher showdown.
Some get the most out of average stuff through smarter allocation. Others leave value on the table despite electric arsenals. In either case, the path to better performance might be as simple (or difficult) as throwing the right pitch at the right moment just a little more often.
Indiana quarterback Fernando Mendoza, who led the No. 1 Hoosiers to a perfect 13-0 record and their first Big Ten title since 1967, captured the 91st Heisman Trophy on Saturday night.
Mendoza beat out quarterbacks Diego Pavia (Vanderbilt) and Julian Sayin (Ohio State) and running back Jeremiyah Love (Notre Dame) to take home the trophy during a ceremony in New York.
Mendoza, who played two seasons at California before joining the Hoosiers this season, completed 71.5% of his pass attempts for 2,980 yards with 39 total touchdowns.
He was only the second Heisman Trophy finalist from Indiana. Running back Anthony Thompson was runner-up to Houston quarterback Andre Ware in one of the closest votes in 1989.
With Mendoza, Pavia and Love expected to move on to the NFL after this season, who are the top returning Heisman Trophy candidates for 2026?
In compiling the list of potential candidates, I projected that quarterbacks John Mateer (Oklahoma), Ty Simpson (Alabama) and Dante Moore (Oregon); receivers Carnell Tate (Ohio State), Zachariah Branch (Georgia) and Makai Lemon (USC); and running back Emmett Johnson (Nebraska) will turn pro (along with the aforementioned finalists from this year).
Here is a look at some of the top potential contenders (in no particular order):
2025 stats: 80 catches, 1,086 receiving yards, 12 total touchdowns
Smith’s highlight reel of acrobatic, one-handed catches continues to grow, and he arguably has been the best player in college football this season. He was the fastest Buckeyes player to reach career marks of 2,000 receiving yards (24 games), 100 catches (20) and 25 touchdown receptions (25).
Sayin might have captured the Heisman Trophy this season if Ohio State’s offense hadn’t flopped in its 13-10 loss to Indiana in the Big Ten championship game. In his first season as a starter, Sayin is on pace to break the NCAA single-season pass completion record of 77.4%, set by Oregon’s Bo Nix in 2023.
In his first full season as Georgia’s starting quarterback, Stockton helped guide the Bulldogs to a 12-1 record and SEC title. His legs and right arm were a big reason the Bulldogs averaged 31.9 points, despite enduring myriad injuries on the offensive line. Stockton was at his best when the game was on the line — he completed 86% of his passes with 11 touchdowns and one interception in the fourth quarter against ranked opponents.
Toney’s teammates call him “Baby Jesus,” and the true freshman delivered in a big way in his first season with the No. 10 Hurricanes. He ranks sixth in the FBS with 84 catches and had 1,328 all-purpose yards. Toney even threw for two scores. Not bad for an 18-year-old who would be a senior in high school if he hadn’t reclassified to the class of 2025.
Even after all the hand-wringing about Manning being overrated at the start of the season, the former five-star recruit ended up putting together a good campaign, throwing for 2,942 yards with 24 touchdowns. The No. 13 Longhorns need to find some offensive linemen (he was sacked 23 times) and receivers to help him in 2026.
Ole Miss officials have submitted a waiver to the NCAA on Chambliss’ behalf for another season of eligibility. He played his first three seasons at Division II Ferris State before transferring to Ole Miss this year. He was named SEC Newcomer of the Year after taking over the starting job in the third game of the season.
2025 stats: 1,560 rushing yards, 16 touchdowns
A transfer from Louisiana-Monroe, Hardy led the FBS with 130 rushing yards per game and was No. 2 with 1,560 total rushing yards. He had eight 100-yard games for the Tigers, including a whopping 300-yard effort with three touchdowns in a 49-27 victory against Mississippi State on Nov. 15.
Reed announced this week that he plans to stay at Texas A&M next season, which is great news for the No. 7 Aggies. He was a threat with the ball in his hands, throwing for 2,932 yards with 25 touchdowns and running for 466 yards with six scores. His decision-making needs to continue to improve, so he can cut down on his 10 interceptions.
There’s a reason new Bears coach Tosh Lupoi took a late-night flight to Hawai’i to make sure Sagapolutele was staying at Cal. He was only the second true freshman in FBS history to pass for 200 yards or more in each of his first 11 starts. In the Bears’ late-season upsets of then-No. 21 SMU and No. 15 Louisville, Sagapolutele passed for a combined 653 yards with six touchdowns and no picks.
2025 stats: 1,279 rushing yards, 20 touchdowns
After transferring from Missouri, Lacy helped the No. 6 Rebels win 11 games in the regular season for the first time. He ranks No. 2 in the FBS with 20 rushing touchdowns and piled up 1,279 yards on the ground. Will he follow former coach Lane Kiffin to LSU or remain with the Rebels in 2026?
If Maiava returns to the No. 16 Trojans for another season, he’ll probably flourish in Lincoln Riley’s offense. This year, he threw for 3,431 yards with 23 touchdowns and 8 interceptions. He ranks No. 1 with a 91.2 total QBR. According to Pro Football Focus, he was second in the FBS with 26 big-time throws. (A big-time throw is defined as a high-difficulty, high-value pass.)
2025 stats: 1,035 rushing yards, 6 total touchdowns
Jackson became the fifth true freshman in OSU history to produce a 1,000-yard season, joining Robert Smith (1990), Maurice Clarett (2002), JK Dobbins (2017) and TreVeyon Henderson (2021). That’s good company. And, of course, he’d be the second Bo Jackson to collect a stiff-armed trophy.
Mestemaker is one of the best stories in college football. He didn’t start a single game in high school, then joined North Texas as a walk-on. This season, he led the FBS with 4,129 passing yards, helping him capture the Burlsworth Trophy as the top walk-on in the country. Will he join former Mean Green coach Eric Morris at Oklahoma State in 2026?
Fighting Irish coach Marcus Freeman entrusted Carr to lead his offense after a heated battle in preseason camp. The decision paid off, as Carr put together one of the best performances by a first-time starter in Notre Dame history. He threw for at least one touchdown in each of his first 12 starts, becoming the first Irish player to do that since Everett Golson in 2012-14. Carr’s 24 passing touchdowns are tied for the most in the first 12 starts by a Notre Dame player since 1966.
Williams is one of the best dual-threat quarterbacks in the FBS, and his ability to run and throw was on display in the Huskies’ 38-19 victory against Rutgers on Oct. 10. He became the first player in school history to pass for at least 400 yards (400) and run for at least 100 (136) in the same game. Williams was second on the team with 595 rushing yards.
College football reporter; joined ESPN in 2008. Graduate of Northwestern University.
Maryland quarterback Malik Washington, who set the team’s freshman passing record this fall, will return to the Terrapins for the 2026 season.
Washington set Maryland freshman records for passing yards (2,963) and completions (273) this season, while connecting on 17 touchdown passes. He reached 200 passing yards in all but one game and finished as just the second Big Ten freshman since 1996 to record at least 2,500 passing yards and at least 300 rushing yards.
“Representing this team, this area, means so much to me and my family,” Washington said in a statement Saturday. “This is home and we’re going to continue keeping the best athletes from this area here with the Terps. I believe in everyone in our facility and I know we’re building something that our fans will be excited about for years to come.”
Washington, the nation’s No. 134 recruit in the 2025 class, grew up in Severn, Maryland, about 30 miles from Maryland’s campus. Despite a 4-8 record that included only one Big Ten win, Maryland announced that coach Mike Locksley, who recruited Washington, would return in 2026. Locksley will enter his eighth season as Maryland’s coach.
“Malik is a Terp through and through and I’m thrilled he’s coming back to lead this football team,” Locksley said in a statement. “He means so much to this area and this area means so much to him. What we saw from Malik this past season is only the tip of the iceberg. He has such a bright future and he’s already started putting the work in towards the 2026 season.”
NEW YORK — Fernando Mendoza, the enthusiastic quarterback of No. 1 Indiana, won the Heisman Trophy on Saturday night, becoming the first Hoosier to win college football’s most prestigious award since its inception in 1935.
Mendoza guided the Hoosiers to their first No. 1 ranking and the top seed in the 12-team College Football bracket, throwing for 2,980 yards and a national-best 33 touchdown passes while also running for six scores. Indiana, the last unbeaten team in major college football, will play a College Football Playoff quarterfinal game in the Rose Bowl on Jan. 1.
Mendoza, the Hoosiers’ first-year starter after transferring from California, is the triggerman for an offense that surpassed program records for touchdowns and points set during last season’s surprise run to the CFP.
A redshirt junior, the once lightly recruited Miami native is the second Heisman finalist in school history, joining 1989 runner-up Anthony Thompson. Mendoza is the seventh Indiana player to earn a top-10 finish in Heisman balloting and it marks another first in program history — having back-to-back players in the top 10. Hoosiers quarterback Kurtis Rourke was ninth last year.
Quarterbacks have won the Heisman four of the last five years, with two-way player Travis Hunter of Colorado ending the run last season.
The Heisman Trophy presentation came after a number of accolades were already awarded. Mendoza was named The Associated Press player of the year earlier this week and picked up the Maxwell and Davey O’Brien awards Friday night while Love won the Doak Walker Award.
THE CONFIDENT COMMODORE
Pavia threw for a school-record 3,192 yards and 27 touchdowns for the Commodores, who were pushing for a CFP berth all the way to the bracket announcement. He is the first Heisman finalist in Vanderbilt history.
Generously listed as 6 feet tall, Pavia led Vanderbilt to its first 10-win season along with six wins against Southeastern Conference foes. That includes four wins over ranked programs as Vandy reached No. 9, its highest ranking in The Associated Press Top 25 since 1937.
Pavia went from being unrecruited out of high school to junior college, New Mexico State and finally Vanderbilt in 2024 through the transfer portal.
Brash and confident, the graduate student from Albuquerque, New Mexico, calls himself “a chip on the shoulder guy” and he was feisty off the field, too: He played his fourth Division I season under a preliminary injunction as he challenges NCAA eligibility rules; he contends his junior college years should not count against his eligibility, citing the potential losses in earnings from name, image and likeness deals as an illegal restraint on free trade.
Vandy next plays in the ReliaQuest Bowl against Iowa on Dec. 31.
THE LEADER OF THE BUCKEYES
Sayin led the Buckeyes to a No. 1 ranking for most of the season, throwing for 3,329 yards while tying for second in the country with 31 TD passes ahead of their CFP quarterfinal at the Cotton Bowl on Dec. 31.
The sophomore from Carlsbad, California, arrived at Ohio State after initially committing to Alabama and entering the transfer portal following a coaching change. He played four games last season before winning the starting job. He led the Buckeyes to a 14-7 win in the opener against preseason No. 1 Texas and kept the team atop the AP Top 25 for 13 straight weeks, tying its second-longest run.
Sayin was only the second Bowl Subdivision quarterback in the last 40 years to have three games in a season with at least 300 yards passing, three touchdowns, no interceptions, and a completion rate of at least 80%. West Virginia’s Geno Smith was the other in 2012.
Sayin follows a strong lineage of Ohio State quarterbacks since coach Ryan Day arrived in 2017. Dwayne Haskins (2018), Justin Fields (2019), C.J. Stroud (2021), and Kyle McCord (2023) averaged 3,927 passing yards, 40 TDs, and six interceptions, along with a 68.9% completion rate during their first seasons.
THE LOVE OF THE IRISH
The last running back to win the Heisman was Alabama’s Derrick Henry in 2015. Love put himself in the mix with an outstanding season for Notre Dame.
The junior from St. Louis was fourth in the Bowl Subdivision in yards rushing (1,372), fifth in per-game average (114.3) and third with 18 rushing touchdowns for the Fighting Irish, who missed out on a CFP bid and opted not to play in a bowl game.
He was the first player in Notre Dame’s storied history to produce multiple TD runs of 90 or more yards, a 98-yarder against Indiana in the first round of last year’s playoffs and a 94-yarder against Boston College earlier this season.
He padded his Heisman resume with a series of highlights displaying an uncanny ability to maintain his balance while hurdling defenders, spinning out of tackles or rolling off opponents. He teamed with Jadarian Price to create one of the season’s top running back duos, a combination that helped first-time starter CJ Carr emerge as one of the nation’s best young quarterbacks.