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1 | (14) |
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1 | (2) |
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3 | (1) |
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4 | (1) |
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The Prisoner's Dilemma under Imperfect Monitoring |
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5 | (2) |
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7 | (1) |
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8 | (2) |
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10 | (1) |
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10 | (5) |
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Part I Games with Perfect Monitoring |
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The Basic Structure of Repeated Games with Perfect Monitoring |
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15 | (54) |
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The Canonical Repeated Game |
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15 | (9) |
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15 | (2) |
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17 | (2) |
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19 | (3) |
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Subgame-Perfect Equilibrium of the Repeated Game |
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22 | (2) |
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The One-Shot Deviation Principle |
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24 | (5) |
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Automaton Representations of Strategy Profiles |
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29 | (3) |
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Credible Continuation Promises |
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32 | (5) |
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37 | (14) |
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Constructing Equilibria: Self-Generation |
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37 | (3) |
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40 | (1) |
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Example: The Folk Theorem |
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41 | (3) |
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Example: Constructing Equilibria for Low δ |
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44 | (2) |
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Example: Failure of Monotonicity |
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46 | (3) |
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Example: Public Correlation |
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49 | (2) |
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Constructing Equilibria: Simple Strategies and Penal Codes |
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51 | (10) |
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Simple Strategies and Penal Codes |
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51 | (3) |
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54 | (7) |
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Long-Lived and Short-Lived Players |
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61 | (8) |
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63 | (3) |
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66 | (3) |
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The Folk Theorem with Perfect Monitoring |
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69 | (36) |
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70 | (2) |
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Interpreting the Folk Theorem |
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72 | (4) |
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72 | (1) |
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73 | (2) |
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75 | (1) |
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76 | (1) |
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The Pure-Action Folk Theorem for Two Players |
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76 | (4) |
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The Folk Theorem with More than Two Players |
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80 | (7) |
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80 | (2) |
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Player-Specific Punishments |
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82 | (5) |
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87 | (4) |
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Long-Lived and Short-Lived Players |
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91 | (5) |
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Convexifying the Equilibrium Payoff Set Without Public Correlation |
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96 | (5) |
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Mixed-Action Individual Rationality |
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101 | (4) |
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105 | (40) |
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Is the Horizon Ever Infinite? |
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105 | (1) |
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106 | (1) |
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Declining Discount Factors |
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107 | (5) |
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112 | (6) |
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118 | (2) |
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120 | (25) |
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122 | (12) |
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Infinitely Repeated Games |
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134 | (11) |
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145 | (56) |
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145 | (7) |
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146 | (1) |
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147 | (5) |
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152 | (9) |
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153 | (1) |
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154 | (1) |
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155 | (3) |
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158 | (3) |
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161 | (1) |
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162 | (12) |
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Repeated Extensive-Form Games Have More Subgames |
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163 | (2) |
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Player-Specific Punishments in Repeated Extensive-Form Games |
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165 | (2) |
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Extensive-Form Games and Imperfect Monitoring |
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167 | (1) |
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Extensive-Form Games and Weak Individual Rationality |
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168 | (1) |
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169 | (3) |
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172 | (2) |
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Dynamic Games: Introduction |
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174 | (12) |
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175 | (2) |
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177 | (1) |
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178 | (8) |
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Dynamic Games: Foundations |
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186 | (6) |
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187 | (1) |
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188 | (2) |
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190 | (2) |
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Dynamic Games: Equilibrium |
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192 | (9) |
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The Structure of Equilibria |
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192 | (3) |
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195 | (6) |
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201 | (24) |
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201 | (3) |
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201 | (2) |
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203 | (1) |
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204 | (4) |
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204 | (2) |
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Equilibrium, Commitment, and Time Consistency |
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206 | (1) |
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The Infinitely Repeated Game |
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207 | (1) |
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208 | (17) |
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209 | (1) |
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Full Insurance Allocations |
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210 | (2) |
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212 | (1) |
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213 | (6) |
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Intertemporal Consumption Sensitivity |
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219 | (6) |
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Part II Games with (Imperfect) Public Monitoring |
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The Basic Structure of Repeated Games with Imperfect Public Monitoring |
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225 | (48) |
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The Canonical Repeated Game |
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225 | (7) |
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225 | (1) |
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226 | (2) |
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Recovering a Recursive Structure: Public Strategies and Perfect Public Equilibria |
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228 | (4) |
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A Repeated Prisoners' Dilemma Example |
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232 | (9) |
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233 | (2) |
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235 | (4) |
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Strongly Symmetric Behavior Implies Inefficiency |
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239 | (2) |
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Decomposability and Self-Generation |
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241 | (8) |
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The Impact of Increased Precision |
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249 | (2) |
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251 | (4) |
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An Example with Short-Lived Players |
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255 | (9) |
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256 | (4) |
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Imperfect Public Monitoring of the Long-Lived Player |
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260 | (4) |
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The Repeated Prisoners' Dilemma Redux |
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264 | (5) |
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Symmetric Inefficiency Revisited |
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264 | (3) |
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Enforcing a Mixed-Action Profile |
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267 | (2) |
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269 | (4) |
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Bounding Perfect Public Equilibrium Payoffs |
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273 | (20) |
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Decomposing on Half-Spaces |
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273 | (5) |
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The Inefficiency of Strongly Symmetric Equilibria |
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278 | (2) |
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280 | (2) |
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The Upper Bound on Payoffs |
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280 | (1) |
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281 | (1) |
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282 | (11) |
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Bounds on Efficiency: Pure Actions |
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282 | (2) |
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Bounds on Efficiency: Mixed Actions |
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284 | (3) |
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A Characterization with Two Signals |
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287 | (2) |
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Efficiency with Three Signals |
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289 | (2) |
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291 | (2) |
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The Folk Theorem with Imperfect Public Monitoring |
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293 | (36) |
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Characterizing the Limit Set of PPE Payoffs |
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293 | (5) |
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The Rank Conditions and a Public Monitoring Folk Theorem |
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298 | (5) |
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Perfect Monitoring Characterizations |
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303 | (2) |
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The Folk Theorem with Long-Lived Players |
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303 | (1) |
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Long-Lived and Short-Lived Players |
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303 | (2) |
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Enforceability and Identifiability |
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305 | (4) |
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Games with a Product Structure |
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309 | (2) |
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Repeated Extensive-Form Games |
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311 | (5) |
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Games of Symmetric Incomplete Information |
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316 | (10) |
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318 | (2) |
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320 | (6) |
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326 | (3) |
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Private Strategies in Games with Imperfect Public Monitoring |
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329 | (18) |
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329 | (2) |
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331 | (3) |
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331 | (1) |
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332 | (1) |
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332 | (1) |
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333 | (1) |
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334 | (6) |
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Equilibrium Punishments Need Not Be Equilibria |
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334 | (3) |
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337 | (1) |
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338 | (2) |
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An Infinitely Repeated Prisoner's Dilemma |
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340 | (7) |
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340 | (3) |
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An Infinitely Repeated Prisoners' Dilemma: Indifference |
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343 | (4) |
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347 | (38) |
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Oligopoly with Imperfect Monitoring |
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347 | (7) |
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347 | (1) |
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348 | (2) |
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350 | (2) |
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352 | (2) |
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Repeated Adverse Selection |
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354 | (11) |
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354 | (1) |
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An Oligopoly with Private Costs: The Game |
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355 | (1) |
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A Uniform-Price Equilibrium |
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356 | (1) |
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A Stationary-Outcome Separating Equilibrium |
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357 | (2) |
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359 | (1) |
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Nonstationary-Outcome Equilibria |
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360 | (5) |
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365 | (5) |
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370 | (15) |
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370 | (1) |
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Incomplete Contracts: The Stage Game |
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371 | (1) |
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Incomplete Contracts: The Repeated Game |
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372 | (2) |
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Risk Aversion: The Stage Game |
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374 | (1) |
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Risk Aversion: Review Strategies in the Repeated Game |
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375 | (10) |
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Part III Games with Private Monitoring |
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385 | (30) |
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385 | (9) |
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387 | (2) |
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Conditionally Independent Monitoring |
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389 | (3) |
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Intertemporal Incentives from Second-Period Randomization |
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392 | (2) |
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Private Monitoring Games: Basic Structure |
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394 | (3) |
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Almost Public Monitoring: Robustness in the Infinitely Repeated Prisoner's Dilemma |
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397 | (7) |
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398 | (2) |
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400 | (4) |
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Independent Monitoring: A Belief-Based Equilibrium for the Infinitely Repeated Prisoner's Dilemma |
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404 | (6) |
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410 | (5) |
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Almost Public Monitoring Games |
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415 | (30) |
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When Is Monitoring Almost Public? |
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415 | (3) |
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Nearby Games with Almost Public Monitoring |
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418 | (5) |
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418 | (1) |
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419 | (2) |
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421 | (1) |
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421 | (2) |
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Public Profiles with Bounded Recall |
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423 | (2) |
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Failure of Coordination under Unbounded Recall |
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425 | (9) |
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425 | (2) |
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427 | (1) |
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428 | (4) |
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432 | (2) |
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434 | (1) |
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434 | (7) |
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435 | (2) |
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Equilibria in Nearby Games |
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437 | (4) |
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441 | (4) |
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Belief-Free Equilibria in Private Monitoring Games |
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445 | (14) |
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445 | (8) |
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Repeated Prisoners' Dilemma with Perfect Monitoring |
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447 | (4) |
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Repeated Prisoners' Dilemma with Private Monitoring |
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451 | (2) |
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453 | (6) |
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Reputations with Short-Lived Players |
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459 | (52) |
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The Adverse Selection Approach to Reputations |
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459 | (4) |
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463 | (3) |
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466 | (12) |
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470 | (4) |
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474 | (3) |
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An Example: Time Consistency |
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477 | (1) |
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Imperfect Monitoring Games |
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478 | (15) |
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480 | (4) |
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484 | (8) |
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Small Players with Idiosyncratic Signals |
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492 | (1) |
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493 | (7) |
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494 | (2) |
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Uniformly Disappearing Reputations |
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496 | (1) |
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Asymptotic Equilibrium Play |
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497 | (3) |
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Temporary Reputations: The Proof of Proposition 15.5.1 |
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500 | (11) |
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Player 2's Posterior Beliefs |
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500 | (2) |
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Player 2's Beliefs about Her Future Behavior |
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502 | (1) |
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Player 1's Beliefs about Player 2's Future Behavior |
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503 | (6) |
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Proof of Proposition 15.5.1 |
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509 | (2) |
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Reputations with Long-Lived Players |
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511 | (38) |
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511 | (4) |
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Perfect Monitoring and Minmax-Action Reputations |
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515 | (6) |
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Minmax-Action Types and Conflicting Interests |
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515 | (3) |
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518 | (2) |
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Two-Sided Incomplete Information |
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520 | (1) |
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Weaker Reputations for Any Action |
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521 | (3) |
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Imperfect Public Monitoring |
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524 | (7) |
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Commitment Types Who Punish |
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531 | (2) |
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533 | (14) |
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Example 1: Common Interests |
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534 | (3) |
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Example 2: Conflicting Interests |
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537 | (3) |
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Example 3: Strictly Dominant Action Games |
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540 | (1) |
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Example 4: Strictly Conflicting Interests |
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541 | (3) |
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544 | (2) |
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Reputations and Bargaining |
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546 | (1) |
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547 | (2) |
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549 | (18) |
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550 | (4) |
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554 | (6) |
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560 | (7) |
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562 | (1) |
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The First Period, Player 1 |
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562 | (3) |
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The First Period, Player 2 |
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565 | (2) |
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567 | (52) |
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An Alternative Model of Reputations |
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568 | (8) |
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568 | (2) |
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570 | (3) |
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Reputation with Replacements |
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573 | (3) |
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576 | (1) |
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576 | (4) |
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580 | (4) |
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580 | (1) |
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581 | (3) |
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Reputations with Common Consumers |
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584 | (12) |
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Belief-Free Equilibria with Idiosyncratic Consumers |
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585 | (1) |
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586 | (1) |
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587 | (1) |
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588 | (2) |
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Continuity at the Boundary and Markov Equilibria |
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590 | (4) |
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594 | (2) |
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596 | (3) |
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599 | (11) |
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599 | (1) |
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Bad Reputations: The Stage Game |
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600 | (1) |
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601 | (2) |
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603 | (4) |
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607 | (1) |
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608 | (2) |
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610 | (9) |
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610 | (3) |
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613 | (6) |
| Bibliography |
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619 | (10) |
| Symbols |
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629 | (2) |
| Index |
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631 | |