... 2. Walras’s Law: If the preferences are monotonic, then any solution x to the consumer problem B(p, ω) is located on its budget line, i.e., px(p, ω) = ω. 3. Continuity: If % is a continuous preference, then the ...
... 3(a - e)/4, is greater than aggregate quantity in the Nash equilib- rium of the Cournot game, 2(a - e)/3, so the market-clearing price is lower in the Stackelberg game.. Thus, i[r] ...
... Consider a consumer problem. Suppose that a choice function x(p; !) satis…es Walras’s law and WA. Then, show that x(p; !) is homogeneous of degree zero. 6. Lagrange’s Method You have two …nal exams ...
... If the stage game has a unique NE, then for any T , the finitely repeated game has a unique SPNE: the NE of the stage game is played in every stage irrespective of the histor[r] ...
... 3(a - e)/4, is greater than aggregate quantity in the Nash equilib- rium of the Cournot game, 2(a - e)/3, so the market-clearing price is lower in the Stackelberg game.. Thus, i[r] ...
... Review of Lecture 5 Indifference property in mixed strategy NE. If a player chooses more than one strategy with positive probability, she must be indifferent among such pure strategies: choosing any of them ...
... Both the Bertrand and Cournot models are particular cases of a more general model of oligopoly competition where firms choose prices and quantities (or capacities.). Ber[r] ...
... payoff) while M gives 1 irrespective of player 1’s strategy. Therefore, M is eliminated by mixing L and R . After eliminating M , we can further eliminate D (step 2) and L (step 3), eventually picks up ( U , R ...
... If the stage game has a unique NE, then for any T , the finitely repeated game has a unique SPNE: the NE of the stage game is played in every stage irrespective of the histor[r] ...
... (a) If an agent is risk averse, her risk premium is ALWAYS positive. (b) When every player has a (strictly) dominant strategy, the strategy profile that consists of each player’s dominant strategy MUST be a Nash ...
... 5. Bayesian Nash Equilibrium (12 points) There are three different bills, $5, $10, and $20. Two individuals randomly receive one bill each. The (ex ante) probability of an individual receiving each bill is ...