A Course in Networks and Markets: Game-Theoretic Models and Reasoning

Pass, Rafael

商品描述

A graduate-level, mathematically rigorous introduction to strategic behavior in a networked world.

This introductory graduate-level text uses tools from game theory and graph theory to examine the role of network structures and network effects in economic and information markets. The goal is for students to develop an intuitive and mathematically rigorous understanding of how strategic agents interact in a connected world. The text synthesizes some of the central results in the field while also simplifying their treatment to make them more accessible to nonexperts. Thus, students at the introductory level will gain an understanding of key ideas in the field that are usually only taught at the advanced graduate level.

The book introduces basic concepts from game theory and graph theory as well as some fundamental algorithms for exploring graphs. These tools are then applied to analyze strategic interactions over social networks, to explore different types of markets and mechanisms for networks, and to study the role of beliefs and higher-level beliefs (beliefs about beliefs). Specific topics discussed include coordination and contagion on social networks, traffic networks, matchings and matching markets, exchange networks, auctions, voting, web search, models of belief and knowledge, and how beliefs affect auctions and markets. An appendix offers a "Primer on Probability." Mathematically rigorous, the text assumes a level of mathematical maturity (comfort with definitions and proofs) in the reader.

商品描述(中文翻譯)

一本研究網絡世界中策略行為的研究生級別教材,具有數學嚴謹性。

這本研究生級別的入門教材使用博弈論和圖論的工具,探討網絡結構和網絡效應在經濟和信息市場中的作用。目標是讓學生在連接的世界中發展出直觀且數學嚴謹的理解,了解策略性代理人如何互動。該教材綜合了該領域的一些核心結果,同時簡化了對待,使其對非專家更易理解。因此,入門級別的學生將能夠理解通常只在高級研究生課程中教授的該領域的關鍵思想。

該書介紹了博弈論和圖論的基本概念,以及一些用於探索圖的基本算法。然後,這些工具被應用於分析社交網絡上的策略性互動,探索不同類型的市場和網絡機制,以及研究信念和更高層次的信念(對信念的信念)。具體討論的主題包括社交網絡上的協調和傳染、交通網絡、配對和配對市場、交換網絡、拍賣、投票、網絡搜索、信念和知識模型,以及信念如何影響拍賣和市場。附錄提供了一個“概率入門”。數學嚴謹,該教材假設讀者具有一定的數學成熟度(對定義和證明的舒適程度)。