Preface Many colleges and universities are offering courses in quantitative reasoning for all students. One model for a quantitative reasoning course is to provide •An instance of a game is a path through a game tree starting at the initial node and ending in a terminal node. •X's moves in a game instance P are the set of edges along that path P taken from decision nodes labeled "X moves". •A strategy for X is a function mapping decision each node labeled "X moves" to a Book Description: Game Theory Through Examples is a thorough introduction to elementary game theory, covering finite games with complete information. The core philosophy underlying this volume is that abstract concepts are best learned when encountered first (and repeatedly) in concrete settings. Thus, the essential ideas of game theory are Game Theory Through Examples - October 2014. Skip to main content Accessibility help We use cookies to distinguish you from other users and to provide you with a better experience on our websites. Close this message to accept cookies or find out how to manage your cookie settings. 2.12 A unique path through the game tree of the Battle of the Bismark Sea. Since each player determines a priori the unique edge he/she will select when confronted with a speci c information set, a path through the tree can be determined from these selections.28 2.13 The probability space constructed from xed player strategies in a game of chance. What is game theory? Game theory is a formal way to analyze interactions among a group of rational agents who behave strategically. Interaction: What one agent does directly affects at least one other agent Strategic: Agents take into account that their actions influence the game Rational: An agent chooses its best action (maximizes its expected utility) Kate Larson (University of Waterloo) 5 Game Theory Through Examples [pdf] (maa.org) 45 points by sonograph 26 days ago | hide | past | favorite | 2 comments: dubya 25 days ago. This is just an excerpt. The actual book seems to be out of print, but a pdf is easy to find, and it's on ProQuest if your library has access to that. Game Theory through Examples is a lively introduction to this appealing theory. Assuming only high school prerequisites makes the volume especially suitable for a liberal arts or general education spirit-of-mathematics course. It could also serve as the active-learning supplement to a more abstract text in an upper-division game theory course.