4.6 Subgame-Perfect Equilibria 183 4.7 Games with Perfect Information 185 4.8 Adding Chance Events with Small Probability 187 4.9 Forward Induction 190 4.10 Voting and Binary Agendas 196 4.11 Technical Proofs 202 Exercises 208 5 Refinements of Equilibrium in Strategic Form ? 213 5.1 ? Introduction 213 5.2 ? Perfect Equilibria 216 5.3 ? Existence of Perfect and Sequential Equilibria 221 5.4 ? Proper Equilibria 222 5.5 ? Persistent Equilibria 230 5.6 ? Stable Sets of Equilibria 232 5.7 Generic Properties 239 5.8 Conclusions 240 Exercises 242 6 Games munication ? 244 6.1 ? Contracts and Correlated Strategies 244 6.2 Correlated Equilibria 249 6.3 Bayesian Games munication 258 6.4 Bayesian Collective-Choice Problems and Bayesian Bargaining Problems 263