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... Open Set and Closed Set (2) Boundary and interior A point x is called a boundary point of a set S in R n if every ε-ball centered at x contains points in S as well as points not in S. The set of all boundary ... 完全なドキュメントを参照

... Explain. (b) Show that any risk averse decision maker whose preference satisfies indepen- dence axiom must prefer L 2 to L 3 . 3. Question 3 (4 points) Suppose a monopolist with constant marginal costs prac- tices ... 完全なドキュメントを参照

... あい 1 位 位 位 位 ともき ともき ともき ともき ともき ともき ともき ともき だいき だいき だいき だいき 2 位 位 位 位 こうき こうき こうき こうき こうき こうき こうき こうき ともき ともき ともき ともき 3 位 位 位 位 だいき だいき だいき だいき だいき だいき だいき だいき こうき こうき こうき ... 完全なドキュメントを参照

... Substituting into p+q = 3=4, we achieve q = 1=2. Since the game is symmetric, we can derive exactly the same result for Player 1’s mixed action as well. Therefore, we get the mixed-strategy ... 完全なドキュメントを参照

... 1 Introduction In the United States, affirmative action is an important method to create a diverse environment for students in schools or workers in firms. In the context of school choice, controlled school choice ... 完全なドキュメントを参照

... that a plea bargain is allowed):  If both confess, each receives 3 years imprisonment.  If neither confesses, both receive 1 year.  If one confesses and the other one does not, the former will be set free ... 完全なドキュメントを参照

... all s i ∈ S i , which is identical to Nash equilibrium ...equilibrium s ∗∗ 6= s ∗ . Pick player j with s ∗∗ j 6= s ∗ j ...Since s ∗∗ j is a Nash equilibrium ... 完全なドキュメントを参照

... A good is called normal (resp. inferior) if consumption of it increases (resp. declines) as income increases, holding prices constant.. Show the following claims.[r] ... 完全なドキュメントを参照

... e z . The prices of the three goods are given by (p, q, 1) and the consumer’s wealth is given by ω. (a) Formulate the utility maximization problem of this consumer. (b) Note that this consumer’s ... 完全なドキュメントを参照

... St Petersburg Paradox (1) The most primitive way to evaluate a lottery is to calculate its mathematical expectation, i.e., E[p] = P s∈S p(s)s. Daniel Bernoulli first doubt this approach in ... 完全なドキュメントを参照

... 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 ... 完全なドキュメントを参照

... Solve the following problems in Snyder and Nicholson (11th):. 1.[r] ... 完全なドキュメントを参照

... Solve the following problems in Snyder and Nicholson (11th):. 1.[r] ... 完全なドキュメントを参照

... 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 ... 完全なドキュメントを参照

... or u i ( i ; i ) u i (s i ; i ) for all s i 2 S i . (2) 7. Mixed strategies: Application A crime is observed by a group of n people. Each person would like the police to be informed but ... 完全なドキュメントを参照

... Solve the following problems in Snyder and Nicholson (11th):. 1.[r] ... 完全なドキュメントを参照

... 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 ... 完全なドキュメントを参照

... Combination of dominant strategies is Nash equilibrium. There are many games where no dominant strategy exists[r] ... 完全なドキュメントを参照

... Let w = (w 1 , w 2 , w 3 , w 4 ) ≫ 0 be factor prices and y be an (target) output. (a) Does the production function exhibit increasing, constant or decreasing returns to scale? Explain. (b) Calculate the ... 完全なドキュメントを参照

... Solve the following problems in Snyder and Nicholson (11th):. 1.[r] ... 完全なドキュメントを参照