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(Pollute the lake) Each of n factories draws water from a lake and discharges waste into the same lake. Each factory requires pure water. It costs any factory kc to purify its water supply, where k is the number of factories that do not treat their waste before discharging it into the lake; it costs any factory b to treat its waste. Assume that c≤b≤nc.
a. Model this situation as a coalitional game under the assumption that the worth v(S) of any coalition S is the highest payoff that S can guarantee (that is, v(S) is the highest payoff of S under the assumption that none of the other factories treats its waste).
b. Find the conditions under which the game has a nonempty core and the conditions under which the core is a singleton.
c. Discuss the interpretation of the core of this game, taking into account that the definition of v(S) makes assumptions about the behavior of the players outside S.
A hypothesis test for a population proportion ρ is given below: Ho: ρ = 0.10 Ha: ρ ≠ 0.10
If each group had 15 officers, how would you characterize the performance of the typical officer in each squad?
A 5-card poker hand is said to be a full house if it consists of 3 cards of the same denomination and two other cards of the same denomination(of course,different from the first denomination). How many hands of full house are possible?
What is the set of Nash equilibria for k m? For k = m = 1, is the game the same (except for the names of the actions) as any considered so far in this chapter?
For the time-frame of this study, once a market has reached a higher category, it won't fall back to a lower category. What is the probability that Logistics will stop providing service to an Intermediate market before becoming a High market?
Calculate the right-hand-side of constraint 1 to 11 (instead of 10) and solve the problem. How much did the profit increase as a result of this?
Draw a game tree and find the Nash equilibrium for this game and explain can country A change the outcome of the game by burning the bridge they are crossing to invade and committing its troops to fight?
Job Changes: A sociologist is interested in the relation between x = number of job changes and y = annual salary (in thousands of dollars) for people living in the Nashville area. A random sample of 10 people employed in Nashville provided the fol..
Assume that JVC is trying to decide how to rate a new stereo system composed of a receiver, CD player, & speakers. The firm's economists have estimated that 2-different groups will buy these products
Show that the game has no Nash equilibrium in pure strategies, and that the pair of mixed strategies in which each player chooses 1, 2, and 5 each with probability 1 is a mixed strategy Nash equilibrium.
Find expressions for the Cournot equilibrium firm outputs. Find expressions for the Stackelberg equilibrium firm outputs.
Your firm has determined that if the average household salary in a geographic area is greater than $53000, then their product will be successful.
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