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Hu Jintao, China

Resolution: Lighten up

Why he should: China is too big to sweat the small stuff. Instead of throwing tantrums over the Dalai Lama, going into hysterics over the flight pattern of Taiwan’s president, or bristling at toy recalls, Hu and the rest of China’s top leadership need to begin behaving like the mature, sophisticated players they claim to be. Hu is actually in an enviable position: China gets to wear all the trappings of a major world power, without the ultimate responsibilities of being No. 1. He should take advantage of the situation to showcase his magnanimity.

Why he won’t: Because it’s easier to throw a hissy fit. China has seen that when it complains—about what it considers a raw deal on tainted toys or Bush’s audience with the Dalia Lama—it gets results. But the world will soon wise up to which complaints are sincere and those that are simply for show. Either Hu needs to be smarter about picking his battles, or the world needs to learn not to jump when China stirs.

NATALIA KOLESNIKOVA/AFP/Getty Images

Vladimir Putin, Russia

Resolution: Learn to let go

Why he should: He’s had his turn. He’s turned Russian politics into a personality cult, empowered his security-services buddies, and left a one-trick, energy-reliant economy. Since being elected in 2000, Putin has engineered the situation so that he alone holds all of the country’s political and economic cards. It’s a state of affairs that just might continue if he follows through on his pledge to become prime minister under his anointed successor, Dmitri Medvedev. If Putin doesn’t move gracefully into retirement soon, Medvedev’s chances for moving the country forward will be slim.

Why he won’t: Putin’s shooting for the history books. He prefers stability over democratic reforms, and he’s not about to hand over complete control of the system he has worked hard to build to an untested new leader.

VOLKER HARTMANN/AFP/Getty Images

George W. Bush, United States

Resolution: Push China for change at the Beijing Olympics

Why he should: They’ll listen. China’s rulers want nothing more than to throw the party of the century. They need the world’s most influential leaders and top-tier celebrities to come to Beijing to make the celebration legit. But they are likely willing to make a few concessions to guarantee that everyone-who-is-anyone shows up. So, why doesn’t Bush ask that a few political prisoners be released before he’ll set a foot in Beijing? What if he mentions the names of a few Chinese democracy activists while taking in the track-and-field events? Bush is always talking about advancing democracy and freedom; here’s a chance to make a real difference.

Why he won’t: He doesn’t want to rock the boat. Bush has already said that he’s attending the Olympics only as a “sports fan.”

FILIPPO MONTEFORTE/AFP/Getty Images

Nicolas Sarkozy, France

Resolution: Stick to his guns and drop the 35-hour work week

Why he should: Fixing the French economy will take no less. Sarkozy’s domestic honeymoon is over, and pushing through his ambitious economic agenda in 2008, which includes a plan to allow individual companies to negotiate a longer work week, will be tough. But France’s state-dominated economy badly needs reform. And after staring down striking transport workers this past fall, Sarko showed that he might have the backbone to convince France to follow his lead. Now is no time to go wobbly.

Why he won’t: His approval ratings will continue to drop. Sarkozy’s promises of economic growth sounded good on the campaign trail, but le président is finding that his means--getting the French to work harder--will be a tough sell.

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Pervez Musharraf, Pakistan

Resolution: Find Osama

Why he should: Because he needs a miracle. If Musharraf wants to hold on to his tenuous grip on power, he’ll need all the help he can get from Washington. What better way to burnish his falling star than finally nabbing Osama bin Laden? After Benazir Bhutto’s assassination, Musharraf looks, at best, vulnerable and, at worst, culpable. Catching the world’s most wanted terrorist will not only strike a blow against militants who want to see Musharraf go the way of Bhutto, but may also calm the grief-stricken supporters of the former prime minister.

Why he won’t: It won’t be popular on the street or with the Army. Militant tribal leaders in the frontier provinces, who would have to be confronted if the search were to get serious, are rumored to enjoy sympathy from Pakistani soldiers in the area, and Musharraf is unlikely to add any points to his dismal approval ratings in Pakistan by seizing a man who polls better than he does.

ATTA KENARE/AFP/Getty Images

Mahmoud Ahmadinejad, Iran

Resolution: Say something nice to Israel

Why he should: It’ll throw his detractors for a loop. Israel isn’t going to be wiped off the map anytime soon, no matter what Ahmadinejad says. And while the Iranian president doesn’t have to suddenly start praising all things Israel, a conciliatory word or two might do wonders not just for Middle East peace, but also for Ahmadinejad’s reputation as an odious firebrand. Even if he doesn’t mean what he says, a few nice words could make frenemies of the region’s traditional enemies.

Why he won’t: He feels emboldened. With Ahmadinejad crowing about the U.S.’s “surrender” over the National Intelligence Estimate on Iran’s nuclear capability, he no doubt sees more benefit in keeping Israel as his personal whipping boy.

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