Game theory : through examples / / Erich Prisner

• Autore: Prisner E (Erich)
• Pubblicazione: [Washington, District of Columbia] : , : Mathematical Association of America, Inc., , 2014; ©2014
• Descrizione fisica: 1 online resource (308 p.)
• Disciplina: 519.3
• Soggetto topico: Game theory
• Soggetto genere / forma: Electronic books.
• Note generali: Description based upon print version of record.
• Nota di bibliografia: Includes bibliographical references and index.
• Nota di contenuto: ""front cover ""; ""Game Theory Through Examples""; ""copyright page ""; ""Contents""; ""Preface""; ""Theory 1: Introduction""; ""What's a Game?""; ""Game, Play, Move: Some Definitions""; ""Classification of Games""; ""Exercises""; ""Theory 2: Simultaneous Games""; ""Normal Form---Bimatrix Description""; ""Two Players""; ""Two Players, Zero-sum""; ""Three or More Players""; ""Symmetric Games""; ""Which Option to Choose""; ""Maximin Move and Security Level""; ""Dominated Moves""; ""Best Response""; ""Nash Equilibria""; ""Additional Topics""; ""Best Response Digraphs"" ; ""2-Player Zero-sum Symmetric Games""""Exercises""; ""Project 1: Reacting fast or slow""; ""Example: Selecting a Class""; ""Three Players, Two Classes""; ""``I like you both''""; ""Disliking the Rival""; ""Outsider""; ""Larger Cases""; ""Assumptions""; ""Exercises""; ""Project 2""; ""Project 3""; ""Project 4""; ""Example: Doctor Location Games""; ""Doctor Location""; ""An Example Graph""; ""No (Pure) Nash Equilibrium?""; ""How Good are the Nash Equilibria for the Public?""; ""Trees""; ""More than one Office (optional)""; ""Exercises""; ""Project 5: Doctor location on MOPs""; ""Project 6"" ; ""Project 7""""Example: Restaurant Location Games""; ""A First Graph""; ""A Second Graph""; ""Existence of Pure Nash Equilibria""; ""More than one Restaurant (optional)""; ""Exercises""; ""Using Excel""; ""Spreadsheet Programs like Excel""; ""Two-Person Simultaneous Games""; ""Three-Person Simultaneous Games""; ""Exercises""; ""Project 8: Simultaneous Quatro-Uno""; ""Project 9: Restaurant Location Games""; ""Project 10: 5 Knights""; ""Project 11: 5 Cardinals""; ""Example: Election I""; ""First Example""; ""Second Example""; ""The General Model""; ""Third Example""; ""The Eight Cases"" ; ""Voting Power Indices (optional)""""Exercises""; ""Theory 3: Sequential Games I: Perfect Information and no Randomness""; ""Extensive Form: Game Tree and Game Digraph""; ""Analyzing the Game: Backward Induction""; ""Finite Games""; ""The Procedure""; ""Zermelo's Theorem""; ""Additional Topics""; ""Reality Check""; ""Playing it Safe---Guaranteed Payoffs""; ""Two-person Zero-sum Games""; ""Breaking Ties""; ""Existing Games""; ""Greedy Strategies""; ""Exercises""; ""Project 12: TAKE SOME""; ""Project 13: WHO's NEXT(n)""; ""Project 14: LISA's GAME""; ""Project 15: 2-AUCTION"" ; ""Project 16: 3-AUCTION""""Example: Dividing A Few Items I""; ""Greedy Strategy""; ""Backward Induction""; ""Game Tree""; ""Game Digraph""; ""Example: Game Digraph for ABBAB""; ""An Abbreviated Analysis""; ""Why it Matters: Complexity (optional)""; ""Bottom-Up Analysis""; ""Interdependencies between the Items (optional)""; ""Exercises""; ""Example: Shubik Auction I""; ""Exercises""; ""Project 17: SHUBIK AUCTION""; ""Example: Sequential Doctor and Restaurant Location""; ""General Observations for Symmetric Games""; ""Doctor Location""; ""Constant-Sum Games""; ""Restaurant Location"" ; ""Nash Equilibria and First Mover Advantage for Symmetric Games""
• Sommario/riassunto: 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 here presented in the context of actual games, real games much more complex and rich than the typical toy examples. All the fundamental ideas are here: Nash equilibria, backward induction, elementary probability, imperfect information, extensive and normal form, mixed and behavioral strategies. The active-learning, example-driven approach makes the text suitable for a course taught through problem solving. Students will be thoroughly engaged by the extensive classroom exercises, compelling homework problems and nearly sixty projects in the text. Also available are approximately eighty Java applets and three dozen Excel spreadsheets in which students can play games and organize information in order to acquire a gut feeling to help in the analysis of the games. Mathematical exploration is a deep form of play, that maxim is embodied in this book. 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.
• Titolo autorizzato: Game theory
• ISBN: 1-61444-115-4
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 9910464814403321
• Lo trovi qui: Univ. Federico II
• Serie: Classroom resource materials.