## 2007年12月17日 星期一

### MD Academic Seminar Dec 2007

在日常生活中，我們經常會碰到各式各樣的「遊戲」：有朋友之間的消遣娛樂，有不同層次的體育競技，有各行各業的技藝比拼，有政治場上的選舉逐鹿。每個「遊戲」都有自己的一套遊戲規則，遊戲的結果是根據規則而得出的，因此遊戲規則可謂主宰著整個遊戲的結果。正因為遊戲規則如斯重要，我們都希望遊戲有一套公平和合理的規則。
在講座中，我們會探討一下不同的「遊戲規則」例子，包括音樂頒獎禮、足球比賽和議會選舉等。我們嘗試以數學方法把規則的「公平合理性」量化。最後我們會發現， 在某些情況下，「公平合理」的遊戲規則是不存在的。

Date: 23 December 2007 (Sunday)

Time: 2:30 pm - 3:45 pm

Venue: Room 101, Chong Yuet Ming Amenities Centre, The University of Hong Kong

Speaker: Law Ka Ho (PhD student, Department of Mathematics, The University of Hong Kong)

Title: "The Rule of the Game Rules"

Abstract:

In daily life, we come across different types of "games" -- entertainment among friends, sports tournaments at various levels, contests of various professions as well as elections in politics. Each "game" has its own set of rules, based on which the result is obtained. Hence the result of the game is "ruled by the rules". Given such importance, we always want to have a set of fair and reasonable rules for a game.
In this talk, we will look at various examples of "rules of the game", from musical prize presentations, soccer games to parliamentary elections. We try to quantify mathematically "how fair and reasonable" a set of rules is. Eventually, we shall see that under some situations, a set of rules which is "fair and reasonable" simply does not exist.