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2012-06-26
The 2012 NBA championship was obtained by Miami Heat, which was a team of three super stars Captain Wade, LeBron James, and Chris Bosh as well as some experienced and young players. Will next NBA championship be obtained by another NBA team with several super stars like Miami Heat? The NBA player market is a relatively free market. The rich clubs could buy some top players from other teams as long as both players and their original teams agreed exchanges with considerable exchange fees. However, a team like Miami Heat would destory the skill balance among different teams in NBA league. For instance, suppose such a super team could always win the chamipon, then other teams would lose interests to compete with the team. Eventually, NBA would lose more fans in the future, because only fans of the super team would like to watch its team beating other teams easily and there would have no uncertainty in the prediction of NBA champions.

You guys are welcome to continue the discussion of game theory implied in NBA player movement under the main thread.


Player movement in basketballBlame the cap

Jun 23rd 2012, 0:37 by D.R.




THE coronation of King James—as LeBron James (pictured, centre) calls himself on Twitter—was delayed, but in the end not denied. By common consent the world’s best basketball player, Mr James was drafted with the first overall pick by his hometown Cleveland Cavaliers—he grew up in nearby Akron, Ohio—shortly after he graduated from high school in June 2003. He has been a star since his very first game in the National Basketball Association (NBA) as an 18-year-old, and won three Most Valuable Player awards. But just like Michael Jordan before him, who did not win a title until his seventh season in the NBA, the sport’s ultimate achievement long eluded him.

Mr Jordan’s Chicago Bulls struggled early in his career. After three losing seasons, they advanced deep into the playoffs in 1987-88 and 1988-89, but lost in both years to the tough and balanced Detroit Pistons. Mr Jordan could not win a championship on his own. Fortunately for Chicago fans, the club eventually acquired a Robin to his Batman in Scottie Pippen. In 1990-91 Mr Pippen emerged as a star in his own right, and the duo eventually won six titles together.

In contrast, the Cavaliers were never able to offer Mr James much of a supporting cast. They made the finals once in 2006-07, but lost. Rather than wait to see whom the team might eventually pair with him, Mr James took matters into his own hands. When his contract expired in 2010, he reached an agreement with two other free-agent stars, Dwyane Wade (left) and Chris Bosh (right), that the three would all sign with the Miami Heat. He announced his choice by declaring he was “going to take my talents to South Beach” on a special programme broadcast on ESPN called “The Decision”.

Mr James’s handling of his free agency was widely panned, both as a betrayal of his Ohio roots and as an admission that he could not be the leader of a championship team. In an open letter to fans, the Cavaliers’ owner, Dan Gilbert, called Mr James “narcissistic”, “selfish”, “cowardly”, “disloyal” and “heartless”. Mr Gilbert’s sports memorabilia company even reduced the price of some memorabilia featuring Mr James to $17.41, the birth year of Benedict Arnold, a notorious American traitor. But many of the sport’s eminences also criticised Mr James, even though they had no reason to feel personally jilted by him. Mr Jordan himself said there was “no way, with hindsight, I would’ve ever called up Larry [Bird], called up Magic [Johnson] and said, ‘Hey, look, let’s get together and play on one team’…I was trying to beat those guys.”

The Heat instantly became the favourites for the 2010-11 championship, and the bête noire of virtually all basketball fans outside of southern Florida. They cruised through the regular season and the first three rounds of the playoffs. But in the finals they ran into a veteran Dallas Mavericks team, and Mr James all but disappeared. In the series’ final four games he averaged just 15.8 points (compared with 27 during the regular season). He was particularly absent during the final quarters of close contests. In the tight fourth quarters of the third, fourth and fifth games, he made just two of eight shots—neither with the game on the line—while missing one that would have put Miami ahead with five seconds left on the clock. He also committed six turnovers, repeatedly handing the ball over to Dallas in the games’ critical moments. The Mavericks won, four games to two.

Mr James’s vanishing act seemed to satisfy NBA fans’ desire for schadenfreude. This season the Heat were seen as just one of many strong contenders for the title. They finished with the league’s fourth-best record, and needed the full seven games to dispatch a creaky Boston Celtics squad in order to reach the finals. Their rivals in that series, the Oklahoma City Thunder, were a young, dynamic, athletic team with nearly as much star power as the Heat. After the Thunder had, well, thundered past the San Antonio Spurs, winning four straight games against the club with the league’s best record, most analysts thought Oklahoma City had the edge.

This time, however, Mr James had other plans. He dominated in all five contests, averaging 28.6 points per game, and showcased his versatility with impressive averages of 10.2 rebounds and 7.4 assists, earning him the finals’ Most Valuable Player award. After losing the first game, the Heat romped to four straight wins, giving Mr James his first title—at the same an even younger age, 27, that than Mr Jordan was when he secured his first championship. “It’s about damn time”, Mr James proclaimed following the victory.

Mr James still has a long way to go to catch up to Mr Jordan’s six titles, not to mention the 11 attained by Bill Russell, who embraced Mr James after the game. But the oldest of the Heat’s trio of stars, Mr Wade, is only 30, meaning that the three should have plenty of time to fill up their trophy case. Once the euphoria of Miami’s title wears off, the grumbling about its perceived inauthenticity due to the 2010 pact between Mr Bosh, Mr Wade and Mr James is sure to resume.

On the surface, the widespread resentment of the three stars seems inconsistent. Few such complaints were heard in 2007 when the Celtics traded for Kevin Garnett and Ray Allen to play alongside Paul Pierce, and promptly won a championship. The implicit double standard is that team owners can freely determine who plays where at their whim, whereas players who choose their own place of employment are criticised. In a league fraught with tension between mostly white owners and mostly black players, it was inevitable that race would be invoked in the reaction to Mr James’s decision. Responding to Mr Gilbert’s letter attacking Mr James, Jesse Jackson, a former presidential candidate and influential black leader, accused Mr Gilbert of seeing “LeBron as a runaway slave”.

A more charitable interpretation of the outrage over the Heat’s signings is concern over competitive balance. A league in which there is little doubt over who will win—as many fans presumed, incorrectly, about the 2010-11 season once Miami acquired Mr Bosh and Mr James—is a league destined for irrelevance. Moreover, teams have little incentive to invest in savvy management or analytics if the outcome of the league is likely to be determined by where free agents happen to want to play.

Due to word limit of the thread, the whole article was not posted here, but the forwarded article was taken from The Economist at
http://www.economist.com/blogs/gametheory/2012/06/player-movement-basketball

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2012-6-26 05:44:43
As far as I know, the James-Bosh-Wade deal was one of the successful packages in the history.  Thanks for Jeremy Lin's stellar performance in the middle of the season, which stimulates the incentive of watching from new and old sport fans.  The Miami Heat is NOT unbeatable, but it will remain a powerhouse for several years unless some accidents or injury woes happen to this team.  David Stern is such a brilliant entrepreneur and I don't think NBA should worry too much about the Miami Heat's dominance of the games.

The whole world has been seeking to see if Michael Jordan's successor will live.  Kobe Bryant was one ring shy from Mr. Jordan's six.  So, the race between Mr. James and Mr. Bryant just officially started as anticipated for a long time, which is supposed to keep the watchers' interests to stay in the game.  The Oklahoma Thunders was just like any "team rookie" in the NBA finals, who faltered like Shaq's Orlango Magic.  However, I do believe they will be a strong contender for the championship title in the next few years as well.

As to the Game theory, I am hoping someone can post an introductory resource (e.g., PPTs or Stuff on the internet) for us to continue discussing the "Heat" & "Thunder" effect to the business of NBA.

Sincerely,
Brian Chen   
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2012-6-26 05:48:06
gingbrian 发表于 2012-6-26 05:44
As far as I know, the James-Bosh-Wade deal was one of the successful packages in the history.  Thank ...
I've something on Wikipedia.  So, let's go from there then.

http://en.wikipedia.org/wiki/Game_theory
Game theory is the study of strategic decision making. More formally, it is "the study of mathematical models of conflict and cooperation between intelligent rational decision-makers."[1] An alternative term suggested "as a more descriptive name for the discipline" is interactive decision theory.[2] Game theory is mainly used in economics, political science, and psychology, as well as logic and biology. The subject first addressed zero-sum games, such that one person's gains exactly equal net losses of the other participant(s). Today, however, game theory applies to a wide range of class relations, and has developed into an umbrella term for the logical side of science, to include both human and non-humans, like computers. Classic uses include a sense of balance in numerous games, where each person has found or developed a tactic that cannot successfully better his results, given the other approach.

Modern game theory began with the idea regarding the existence of mixed-strategy equilibria in two-person zero-sum games and its proof by John von Neumann. Von Neumann's original proof used Brouwer's fixed-point theorem on continuous mappings into compact convex sets, which became a standard method in game theory and mathematical economics. His paper was followed by his 1944 book Theory of Games and Economic Behavior, with Oskar Morgenstern, which considered cooperative games of several players. The second edition of this book provided an axiomatic theory of expected utility, which allowed mathematical statisticians and economists to treat decision-making under uncertainty.

This theory was developed extensively in the 1950s by many scholars. Game theory was later explicitly applied to biology in the 1970s, although similar developments go back at least as far as the 1930s. Game theory has been widely recognized as an important tool in many fields. Eight game-theorists have won the Nobel Memorial Prize in Economic Sciences, and John Maynard Smith was awarded the Crafoord Prize for his application of game theory to biology.

(to be continue......)

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2012-6-26 05:50:30
gingbrian 发表于 2012-6-26 05:48
I've something on Wikipedia.  So, let's go from there then.

http://en.wikipedia.org/wiki/Game_t ...
博弈论 (Game Theory)
http://zh.wikipedia.org/wiki/博弈论

博弈论(Game theory),有时也称为对策论,或者赛局理论,应用数学的一个分支,目前在生物学、经济学、国际关系、计算机科学、政治学、军事战略和其他很多学科都有广泛的应用。主要研究公式化了的激励结构(游戏或者博弈)间的相互作用。是研究具有斗争或竞争性质现象的数学理论和方法。也是運籌學的一个重要学科。

博弈论考虑游戏中的个体的预测行为和实际行为,并研究它们的优化策略。表面上不同的相互作用可能表现出相似的激励结构(incentive structure),所以他们是同一个游戏的特例。其中一個有名有趣的應用例子是囚徒困境(Prisoner's dilemma)。

具有竞争或对抗性质的行为成为博弈行为。在这类行为中,参加斗争或竞争的各方各自具有不同的目标或利益。为了达到各自的目标和利益,各方必须考虑对手的各种可能的行动方案,并力图选取对自己最为有利或最为合理的方案。比如日常生活中的下棋,打牌等。博弈论就是研究博弈行为中斗争各方是否存在着最合理的行为方案,以及如何找到这个合理的行为方案的数学理论和方法。

生物学家使用博弈理论来理解和预测演化(论)的某些结果。例如,John Maynard Smith 和George R. Price 在1973年发表于《自然》杂志上的论文中提出的“evolutionarily stable strategy”的这个概念就是使用了博弈理论。还可以参见演化博弈理论(evolutionary game theory)和行为生态学(behavioral ecology)。

博弈论也应用于数学的其他分支,如概率,统计和线性规划等。

(待续......)
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2012-6-26 09:36:27
       什么情况!
       看不懂
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2012-6-29 12:10:10
gingbrian 发表于 2012-6-26 05:50
博弈论 (Game Theory)
http://zh.wikipedia.org/wiki/博弈论
good point.
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