What is 2w + 9( w + 10 )
1 answer:
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Answer:
Step-by-step explanation:
a) The game tree for k = 5 has been drawn in the uploaded picture below where C stands for continuing and S stands for stopping:
b) Say we were to use backward induction we can clearly observe that stopping is optimal decision for each player in every round. Starting from last round, if player 1 stops he gets $3 otherwise zero if continues. Hence strategy S is optimal there.
Given this, player 2’s payoff to C is $3, while stopping yields $4, so second player will also chooses to stop. To which, player 1’s payoff in k = 3 from C is $1 and her payoff from S is $2, so she stops.
Given that, player 2 would stop in k = 2, which means that player 1 would stop also in k = 1.
The sub game perfect equilibrium is therefore the profile of strategies where both players always stop: (S, S, S) for player 1, and (S, S) for player 2.
c) Irrespective of whether both players would be better off if they could play the game for several rounds, neither can credibly commit to not stopping when given a chance, and so they both end up with small payoffs.
i hope this helps, cheers
Answer:
Step-by-step explanation:
<u>Inequalities </u>
The home security company will choose between two options for cubicles: the small cubicle for only one operator and the large cubicle to hold 2 operators. Let x be the number of small cubicles and y the number of large cubicles. Since each small cubicle has 49 square feet, the total area occupied by them will be 49x. Each large cubicle occupies 80 square feet, so the y cubicles use 80y square feet. The total area used by them is
Area=49x+80y
Assuming there is no operator without cubicle and all cubicles are fully occupied, the number of operators will be
Operators=1x+2y=x+2y
The number of cubicles is
# cubicles=x+y
The conditions of the problem state that