Find the area and the circumference of a circle with diameter 3cm. Use the value 3.14 for π, and do not round your answers. Be sure to include the correct units in your answers.

Prove that the core is a convex set. That is, show that for any two imputations x, y in the core of a coalitional game (N; v), and for all α ∈ [0, 1], the imputation αx + (1  α)y is also in the core of the game (N; v).

A set solution concept for a family of bargaining games F is a function ? associating every bargaining game (S, d) in F with a subset of S (which may contain more than a single point). Let f : R4 → R be a function. Defin ...

The Labor Movement in a Global Economy The topics covered throughout the course will provide a starting point for further research. The final assignment must be supported by a solid foundation in labor relations concepts ...

Sasha and Tim are playing a dice game that involves rolling two 6sided dice. According to the rules, if a player rolls a sum that is greater than 8 or a multiple of 5, the player gets a bonus of 100 points. The probabil ...

Assignment (1) (a) Use the Midpoint Rule with n = 4 subintervals to estimate The width of each interval is: (b) Use the Error Bound to find the bound for the error When using the Midpoint Rule, the Error Bound is: (c) Co ...

Consider an Aumann model of incomplete information in which N = {I, II}, Y = {1, 2, 3, 4, 5, 6, 7, 8, 9}, FI = {{1, 2, 3},{4, 5, 6},{7, 8, 9}}, and FII = {{1, 5},{2, 6},{3, 4},{7},{8, 9}}. Answer the following questions: ...

1. Show that when you apply node splitting to a nonreducible ow graph, and then perform T1T2 reduction on the resulting split graph, you wind up with strictly fewer nodes than you started with. 2. What happens if you ap ...

Consider the threeplayer coalitional game with the following coalitional function: v(1) = 0, v(2) = 1, v(3) = 4, v(1,2) = 2, v(1,3) = 6, v(2,3) = 1, v(1,2,3) = 5. (a) Compute θ((1, 1, 3)), θ((1, 3, 1)) and θ((3, 1, 1)) ...

Assuming an inflation rate of 2.7%, in approximately what year should we expect the average price of goods to be quadruple what they are now? Use the Rule of 72 and round your answer to the nearest year (and remember th ...

