A Course in Game Theory

Ferguson, Thomas S.

  • 出版商: World Scientific Pub
  • 出版日期: 2020-07-09
  • 售價: $2,980
  • 貴賓價: 9.5$2,831
  • 語言: 英文
  • 頁數: 408
  • 裝訂: Hardcover - also called cloth, retail trade, or trade
  • ISBN: 9813227346
  • ISBN-13: 9789813227347
  • 相關分類: 經濟學 Economy遊戲設計 Game-design
  • 立即出貨 (庫存 < 3)

商品描述

Game theory is a fascinating subject. We all know many entertaining games, such as chess, poker, tic-tac-toe, bridge, baseball, computer games -- the list is quite varied and almost endless. In addition, there is a vast area of economic games, discussed in Myerson (1991) and Kreps (1990), and the related political games Ordeshook (1986), Shubik (1982), and Taylor (1995)]. The competition between firms, the conflict between management and labor, the fight to get bills through congress, the power of the judiciary, war and peace negotiations between countries, and so on, all provide examples of games in action. There are also psychological games played on a personal level, where the weapons are words, and the payoffs are good or bad feelings Berne (1964)]. There are biological games, the competition between species, where natural selection can be modeled as a game played between genes Smith (1982)]. There is a connection between game theory and the mathematical areas of logic and computer science. One may view theoretical statistics as a two-person game in which nature takes the role of one of the players, as in Blackwell and Girshick (1954) and Ferguson (1968).

Games are characterized by a number of players or decision makers who interact, possibly threaten each other and form coalitions, take actions under uncertain conditions, and finally receive some benefit or reward or possibly some punishment or monetary loss. In this text, we present various mathematical models of games and study the phenomena that arise. In some cases, we will be able to suggest what courses of action should be taken by the players. In others, we hope simply to be able to understand what is happening in order to make better predictions about the future.

商品描述(中文翻譯)

博弈理論是一個迷人的主題。我們都知道許多有趣的遊戲,例如象棋、撲克、井字遊戲、橋牌、棒球、電腦遊戲等等,種類繁多幾乎無窮無盡。此外,還有廣泛的經濟遊戲領域,如Myerson (1991)和Kreps (1990)所討論的,以及相關的政治遊戲,如Ordeshook (1986)、Shubik (1982)和Taylor (1995)。企業之間的競爭、管理與勞工之間的衝突、通過國會的法案爭奪、司法的權力、國家之間的戰爭與和平談判等等,都提供了遊戲實踐的例子。還有在個人層面上進行的心理遊戲,其中武器是言語,回報是好或壞的感覺(Berne, 1964)。還有生物學上的遊戲,物種之間的競爭,自然選擇可以被建模為基因之間進行的遊戲(Smith, 1982)。博弈理論與邏輯和計算機科學的數學領域有關聯。我們可以將理論統計學視為一種兩人遊戲,其中自然扮演其中一個玩家的角色,就像Blackwell和Girshick (1954)和Ferguson (1968)中所描述的那樣。

遊戲的特點是有多個玩家或決策者進行互動,可能互相威脅並結成聯盟,在不確定的條件下採取行動,最終獲得一些利益或獎勵,或可能受到懲罰或經濟損失。在本文中,我們介紹了各種數學模型的遊戲並研究相應的現象。在某些情況下,我們將能夠建議玩家應該採取的行動。在其他情況下,我們希望僅僅能夠理解正在發生的事情,以便更好地對未來進行預測。