Assume That the Characteristic Functions of Different Coalitions in a Three-Person

question 5

Multiple Choice

Assume that the characteristic functions of different coalitions in a three-person group are given by: V(1,2,3) = $60
V(1,2) = $40, V(2,3) = $30, and V(1,3) = $35.
The values created by the individuals separately are given by:
V(1) = $20, V(2) = $16, V(3) = $10.
Which of the following allocations will lie within the core?

• A) Payoffs to individuals 1,2, and 3 are $21, $17,and $22 respectively.
• B) Payoffs to individuals 1,2, and 3 are $31, $17, and $12 respectively.
• C) Payoffs to individuals 1,2, and 3 are $21, $26, and $13 respectively.
• D) Payoffs to individuals 1,2, and 3 are $25, $18, and $17 respectively.

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Definitions:

Task Interdependency

The extent to which tasks in an organization require collaboration and cooperation among team members to be completed successfully.

Family-Run Businesses

Businesses operated and often owned by members of the same family, typically involving multiple generations.

Intragroup Conflict

Conflict occurring within a group, team, or organization, often arising from differences in opinions, interests, or values among its members.

Role Ambiguity

The uncertainty and lack of clarity about what exactly one's role is within an organization or group.