世界杯的開始仍然是一個(gè)星期后，但對(duì)于全世界的兒童，帕尼尼2014年巴西貼紙?jiān)缇烷_始了。帕尼尼，一家意大利公司，成立于20世紀(jì)中葉，于1970年生產(chǎn)世界杯貼紙，今年的版本有640貼紙收集。貼紙的市場(chǎng)不僅僅是孩子們感興趣,微經(jīng)濟(jì)學(xué)家也感興趣。  

當(dāng)你擁有一個(gè)貼紙簿,你就會(huì)想要第一個(gè)貼紙。 隨著貼紙簿的空間逐漸填滿,打開包,發(fā)現(xiàn)你仍想增加貼紙的數(shù)量。 根據(jù)Sylvain Sardy和Yvan Velenik,兩個(gè)日內(nèi)瓦大學(xué)的數(shù)學(xué)家分析，你將不得不買的貼紙包的數(shù)量平均填補(bǔ)這張貼紙簿是899。 假定沒有供給沖擊市場(chǎng)，這在巴西4月發(fā)行的30萬(wàn)張貼紙仍然不能滿足需求。
　　 帕尼尼說,每個(gè)貼紙打印在相同的面積和隨機(jī)分布的位置。 在2010年的一篇論文中，Sardy和Velenik扮演了“調(diào)節(jié)器”的角色，通過檢查貼紙?jiān)诋?dāng)年瑞士銷售的分布。 6000貼紙的樣品,他們得出了平均每個(gè)貼紙9.09倍。 他們測(cè)試了是否這個(gè)數(shù)字周圍的實(shí)際波動(dòng)符合預(yù)期的貼紙分布。 這樣的統(tǒng)計(jì)測(cè)試越來越多地應(yīng)用于在現(xiàn)實(shí)市場(chǎng)的現(xiàn)貨價(jià)格和反競(jìng)爭(zhēng)行為。

        The beginning of the World Cup is after one week. But for the children all around the world, the Brazil sticker of 2014 has begun earlier. Panini, a Italy corporation, founded in the midst of 20 century, produced the stickers of the world cup in 1970， the edition of this year has collected 640 stickers. The market of the stickers means not only children interested in these stickers，but also microeconomists interested in these stickers.
        When you have a sticker book， you will want the first sticker. With the space of the sticker book is full gradually， you will find you still want to increase the number of stickers. According to the analysis of two mathematicians Sylvain Sardy and Yvan Velenik， you will supplement the number of stickers you have to buy. Suppose you will not provide these stickers to the market， the 300000 stickers still cannot meet the need issued in Brazil in April.
         Panini said, every sticker will print the same area and the area which will be distributed randomly. They get every sticker in the sample of 6000 stickers. They tested the distribution of stickers which is in accordance with the actual fluctuation of this number. The statistical test will be more and more applied to the spot price and anti-competition performance in the actual market.