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Game theory : through examples /
"'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. Th...
| Clasificación: | Libro Electrónico |
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| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
[Washington, District of Columbia] :
Mathematical Association of America, Inc.,
2014.
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| Colección: | Classroom resource materials.
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| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- ""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""