... called 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 )) < ...domain. 3 uniformly continuous if, for all ε > 0, there ...
... vNM Utility Function (1) Note the function U is a utility function representing the preferences on L(S) while v is a utility function defined over S, which is the building block for the construction of U (p). We ...
... where x is a vector of choice variables, and a := (a 1 , ..., a m ) is a vector of parameters ( パラメータ ) that may enter the objective function and constraint. Suppose that for each vector a, the solution is unique ...
... “Soon after Nash ’s work, game-theoretic models began to be used in economic theory and political science,. and psychologists began studying how human subjects behave in experimental [r] ...
... with x = (y, z) where y is a scalar, z is an n-dimensional consumption vector, and V (·) is a real valued function. The consumption set X = R n +1 + . (a) Show that if V is concave, U is quasi-concave. (b) Show ...
... with x = (y, z) where y is a scalar, z is an n-dimensional consumption vector, and V (·) is a real valued function. The consumption set X = R n+1 + . (a) Show that if V is concave, U is quasi-concave. (b) Show ...
... with x = (y, z) where y is a scalar, z is an n-dimensional consumption vector, and V (·) is a real valued function. The consumption set X = R n+1 + . (a) Show that if V is concave, U is quasi-concave. (b) Show ...
... 5. Production Economy (25 points) Consider an economy with two firms and two consumers. Firm 1 is entirely owned by consumer 1; it produces good A from input X via the production function a = 2x. Firm 2 is ...
... and 3) put three items on the market and can advertise these products either on morning (= M ) or evening TV (= ...is 1; if exactly one firm advertises in the evening, its profit is ...
... 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] ...
... . Consumers buy at most one unit and have utility function u (s|θ) = θs if they consume one unit of quality s and 0 if they do not consume. The monopolist decides on the quality and price that it is ...
... Price Discrimination (1) A monopoly firm may further raise profit by charging different prices across consumers. This exercise is called price discrimination. The traditional classification of the forms of price ...