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14.12 Game Theory Lecture Notes Lectures 3-6

Game Theory Lecture Notes Lectures 3-6 Muhamet Yildiz In these Lectures , we will formally define the games and solution concepts, and discussthe assumptions behind these solution previous Lectures we described a Theory of decision-making under uncertainty. Thesecond ingredient of the games is what each player knows. The knowledge is defined asan operator on the propositions satisfying the following properties:1. if I know X, X must be true;2. ifIknowX,IknowthatIknowX;3. if I don t know X, I know that I don t know X;4. if I know something, I know all its logical ,andeveryoneknowsthateveryone knows X, and everyone knows that everyone knows that everyone knows X, games can be represented in two forms: These Notes are somewhat incomplete they do not include some of the topics covered in theclass. I will add the Notes for these topics soon. Some parts of these Notes are based on the Notes by Professor Daron Acemoglu, who taught thiscourse The normal (strategic) form,2.

14.12 Game Theory Lecture Notes ∗ Lectures 3-6 Muhamet Yildiz† In these lectures, we will formally define the games and solution concepts, and discuss the assumptions behind these solution concepts. In previous lectures we described a theory of decision-making under uncertainty. The second ingredient of the games is what each player knows.

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