Explore BrainMass

Explore BrainMass

    Allocation of workforce

    This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

    Firm A and B are battling for market share in two separate markets. Market I is worth $30
    million in revenue; market II is worth $18 million. Firm A must decide how to allocate its three
    salespersons between the markets; firm B has only two salespersons to allocate. Each firm's
    revenue share in each market is proportional to the number of salespeople the firm assigns there.
    For example, if firm A puts two salespersons and firm B puts one salesperson in market I, A's
    revenue from this market is [2/(2+1)]$30 = $20 million and B's revenue is the remaining $10
    million. (The firms split a market equally if neither assigns a salesperson to it.) Each firm is
    solely interested in maximizing the total revenue it obtains from the two markets.
    a. Compute the complete payoff table. (Firm A has four possible allocations: 3-0, 2-1, 1-2, and
    0-3. Firm B has three allocations: 2-0, 1-1, 0-2.) Is this a constant-sum game?
    b. Does either firm have a dominant strategy (or dominated strategies)? What is the predicted

    © BrainMass Inc. brainmass.com October 10, 2019, 12:58 am ad1c9bdddf

    Solution Preview

    See the attached file. The matrix shows each firm's payoff in each market. For example, the first box on the left shows that firm A will make $15 million in market I and $12 million in market II if it allocates one sales person to market I and 2 to market II while B allocates 1 to market I ...

    Solution Summary

    Use of game theory to determine the allocation of salespersons between two markets.