a. the game had only one information set b. the strategy profile (kidnap, kill;

Question

a. the game had only one information set

b. the strategy profile (kidnap, kill; pay) yields a payoff of 4 to Guy and 1 to Vivica

c. the strategy profile (do not kidnap, kill; pay) yields a payoff of 4 to Guy and 1 to Vivica
d. vivicas strategy set contains only two strategies

e. do not kidnap is one possible strategy for guy

f. (kidnap, kill, kill) and (kidnap, kill, release) are two possible strategies for Guy in this game

Consider the extensive form of the kidnapping game shown above and check all items that apply. FIGURE 2.6 Kidnapping Game When the Exchange is Simultaneous. The Box Around Nodes ll and IV Represents the Information Set at the Point That Guy Has to Decide What to Da with Oriando Guy Do not kidnap Kidnap 11Vivica Guy 3 Vivica 5 Pay Do not pay ransom ransom Guy IY Kill Release Kil Release 4 2 3 2 4

Explanation / Answer

a. The game had only one information set

There is only one information set at the Point That Guy has to Decide What to Do with Orlando. The information set is represented by the box around nodes III and IV

b. the strategy profile (kidnap, kill; pay) yields a payoff of 4 to Guy and 1 to Vivica

This applies as can be seen in the extensive form. This strategy is represented by nodes I, II and III. It yields a payoff of 4 to Guy and 1 to Vivica.

c. the strategy profile (do not kidnap, kill; pay) yields a payoff of 4 to Guy and 1 to Vivica
this does NOT apply, because the strategy do not kidnap does not involve kill; pay. Payoff of do not kidnap is 3 to Guy and 5 to Vivica.

d. Vivicas strategy set contains only two strategies

This applies, Vivicas strategy set constains two strategies - Pay ransom and Do not pay ransom

e. do not kidnap is one possible strategy for guy

this applies. This is one possible strategy for guy out of the three - (Kidnap, Kill), (Kidnap, Release), Do not kidnap

f. (kidnap, kill, kill) and (kidnap, kill, release) are two possible strategies for Guy in this game

this does NOT apply. The possible strategies are as listed in the explanation given above in part e - (Kidnap, Kill), (Kidnap, Release), Do not kidnap

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.