... 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 ...
... M P 1 : max q≥0 p(q)q − c(q). where p(q)q is a revenue and c(q) is a cost when the output is fixed to q. Let π(q) = p(q)q − c(q) denote the revenue function. Assume that the firm’s objective function π(q) is ...
... 1. continuous at a point x 0 if, for all ε > 0, there exists δ > 0 such that d(x, x 0 ) < δ implies that d(f (x), f (x 0 )) < ε. 2. continuous if it is continuous at every point in its domain. 3. ...
... Klemperer (2002), “How (not) to Run Auctions: The European 3G Telecom Auctions,” European Economic Review. Milgrom (2004) Putting Auction Theory to Work Cambridge U Press[r] ...
... Randomized Strategies No strategy looks to be dominated… If a player 2 randomizes L and R with 50% each, then Such mixed (randomized) strategy yields 1.5 (as an expected payoff) while M gives 1 irrespective of ...
... 3. Auction (14 points) Suppose that a seller auctions one object to two buyers, = 1, 2. The buyers submit bids simultaneously, and the buyer with higher bid receives the object. The loser pays nothing while the ...
... Three Firms (1, 2 and 3) put three items on the market and can advertise these products either on morning (= M ) or evening TV (= E). A firm advertises exactly once per day. If more than one firm advertises at the ...
... (b) If consumer’s choice satis…es the weak axiom of revealed preferences, we can always construct a utility function which is consistent with such choice behav- iour. (c) If a consumer problem has a solution, then ...
... (a) Characterize the first-best solution. (b) Suppose that the seller cannot observe θ: θ ∈ {θ L , θ H } and Pr[θ = θ L ] = β with 0 < θ L < θ H . Set up the seller’s optimization problem under this ...
... Q = K 1 =4 L 1 =8 Then, answer the following questions. (a) In the short run, the …rm is committed to hire a …xed amount of capital K(+1), and can vary its output Q only by employing an appropriate amount of labor L . ...
... 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] ...
... A strategy in dynamic games is a complete action plan which prescribes how the player will act in each possible.. contingencies in future..[r] ...