Consider the following game between a penalty kicker and a goalkeeper:
goalie kicker left center right left center right 30; 70 60; 40 80; 20 40; 60 20; 80 40; 60 70; 30 60; 40 40; 60

(a) show that the kicker has a mixed strategy that strictly dominates the ícenterístrategy.
(b) show that having eliminated the kickerís ícenterístrategy, the goalie will not want to play ëcenterí.
(c) now consider the 2x2 game goalie kicker left right left right 30; 70 80; 20 70; 30 40; 60 find all nash equilibria.
(d) derive the expected payo§s to the two players at the equilibrium/equilibria.
(e) explain why the players may want to play mixed strategies in this game.
(f) the assurance game also has a mixed strategy equilibrium.

does the reasoning from part (e) apply in this case? explain your answer.

Sye chase started and operated a small family architectural firm in 2016. the firm was affected by two events: (1) chase provided $25,000 of services on account, and (2) he purchased $2,800 of supplies on account. there were $250 of supplies on hand as of december 31, 2016. record the two transactions in the accounts. record the required year-end adjusting entry to reflect the use of supplies and the required closing entries. post the entries in the t-accounts and prepare a post-closing trial balance.

German brothels recently began offering a monthly subscription service for multiple purchasers. if you thought that the brothels' encouragement of prostitution was immoral to begin with, would you consider this pricing plan to be even more immoral? suppose a particular patron at a german brothel has the following willingness-to-pay schedule for services at the brothel, per session. session willingness to pay 1st $84 2nd $72 3rd $60 4th $48 5th $36 6th $24 suppose this consumer would not demand any more sessions, even for free. also assume that the marginal cost to the brothel, per session, is constant at $12. at a price of $78.00 per session, the number of sessions demanded by this consumer would be . at this price and quantity, consumer surplus is $ and producer surplus is $ . suppose the brothel has devised a new pricing scheme for consumers who demand more than 1 session. this pricing scheme is a subscription service, whereby consumers can pay a flat fee of $259.20 and can have up to 6 sessions total. using this subscription pricing model, this consumer would demand sessions. under this scenario, consumer surplus is $ and producer surplus is $ . (hint: for consumer surplus, consider how much total value the consumer places on all sessions, versus the total price paid.)

"ellie purchases an insurance policy on her life and names her brother, jason, as the beneficiary. ellie pays $32,000 in premiums for the policy during her life. when she dies, jason collects the insurance proceeds of $500,000."