David Barstow and Susanne Craig, reporters for The New York Times, explain how they cracked open the biggest story of the campaign, overcoming nagging doubts to nail down Donald J. Trump’s tax returns. We also talk to Stuart Stevens, the chief strategist for Mitt Romney, about why the 2012 Republican nominee was so reluctant to release his tax returns and to Alex Burns, a Times reporter, about how the latest tax revelations are reshaping the last few weeks of the presidential campaign.

Inside the Trump Tax Bombshell

“The Run-Up” is your guide to understanding the 2024 election. Host Astead W. Herndon talks to the people whose decisions will make the difference.

Listen to this podcast in New York Times Audio, our new iOS app for news subscribers. Download now at nytimes.com/audioapp

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In a close election, every vote matters. But in the 2020 presidential race, there’s a good argument that young voters mattered a lot — and helped tip the scales for President Biden.

This year, though, things seem much less straightforward. Polling data shows that Mr. Biden’s approval rating has tanked among young Americans. Polls also show that he continues to be hounded by the perception that he is too old for the job. And young activists are creating a public-relations nightmare for the campaign as they protest for more direct action on climate change and demand a permanent cease-fire in Gaza.

In this episode, we speak to young voters. We also talk with two leaders of Democratic groups that are focused on young people: Cristina Tzintzún Ramirez, the executive director of NextGen America, which just conducted a poll of young voters, and Santiago Mayer, the founder and executive director of Voters of Tomorrow.

The Youngest Voters and the Oldest President

Right now, President Biden’s clearest path to re-election in November seems to run through the middle of the country.

Here’s what that would look like: Biden wins the key battleground states of Pennsylvania, Wisconsin and Michigan — plus the other states that usually go blue — and it brings him to 269 electoral votes, just one vote shy of securing the presidency.

And that’s where Nebraska comes in.

Nebraska is one of just two states that distributes electoral college votes proportionally rather than with a winner-take-all approach. That means that, even though it’s a largely conservative state, Nebraskans sometimes still give one of their five electoral votes to a Democrat, as they did for Biden in 2020.

This year, Nebraska and the up-for-grabs nature of that one electoral vote have caught the attention of the right-wing commentator Charlie Kirk, former President Donald Trump and his supporters. In recent weeks, they’ve mobilized and are throwing Nebraska’s unique electoral system into flux.

On “The Run-Up” this week: A story about the electoral college, the power of right-wing media and the ongoing fight over who gets a voice in U.S. elections.

Nebraska Was Minding Its Business Until Charlie Kirk Came Along

Last week President Biden, flanked by former Presidents Obama and Clinton, came to Radio City Music Hall for what Biden’s campaign called “the most successful political fund-raiser in American history.” The former Presidents, alongside celebrities like Stephen Colbert, Mindy Kaling, Lizzo, and Queen Latifah, spoke to an audience of 5,000 donors. And according to the Biden campaign, the event brought in more than $25 million.

That fund-raising haul further tips the scales in the money race between Trump and Biden — a race that, so far, the Democrats have been winning. But Biden’s big cash advantage hasn’t helped solve his political problems. And when two candidates are as well known as Biden and Trump, there might be a limit to what money can buy.

This week, we speak with longtime Democratic donor Robert Wolf about the Radio City fund-raiser and why he’s donated to Biden. And National Political Correspondent Shane Goldmacher explains the vast financial gap between the candidates.

Biden Is Winning the Money Race. Does It Matter?

The people who don’t vote are often left out of the political conversation. Campaigns don’t spend much money on them, and the media doesn’t devote much coverage to them. But to understand a presidential contest like the 2024 race — one that threatens to be extremely close — we have to understand not just the people who show up to vote, but also those who sit out elections.
This week, we talk to several people who skipped the last Trump-Biden matchup in 2020 and ask how they’re thinking about 2024. We also speak to Anthony Williams, who directed a project at the Knight Foundation that surveyed 12,000 nonvoters ahead of the 2020 election. We ask: How do you define this group of people? And what, if anything, will change their minds when it comes to voting?

What About the People Who Don’t Vote?

This week, the Democratic National Committee formed a unit to push back against third-party candidates and independents. At the same time, a number of Biden allies have formed a super PAC called Clear Choice, which plans to do the same, signaling the seriousness of the potential impact of an outsider candidate.

One such candidate, Robert F. Kennedy Jr., is polling above 10 percent in national surveys and is well known for his family lineage.

Today, the candidate shares why he decided to jump in, the issues that matter most to him personally and his thoughts on positioning himself as a potential spoiler.

Inside the Trump Tax Bombshell

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