Suppose that U.S.-based Qualcomm and European-based T-Mobile are contemplating infrastructure investments in a developing mobile telephone market. Qualcomm presently uses a code-division multiple access (CDMA) technology, which almost 67 million users in the United States utilize. In contrast, T-Mobile uses a global systems for mobile communication (GSM) technology that has become the standard in Europe and Asia. Each company must (simultaneously and independently) decide which of these two technologies to introduce in the new market. Qualcomm estimates that it will cost $1.2 billion to install its CDMA technology and $2.0 billion to install GSM technology. T-Mobile’s projected cost of installing GSM technology is $1.1 billion, while the cost of installing the CDMA technology is $2.7 billion. As shown in the accompanying table, each company’s projected revenues depend not only on the technology it adopts, but also on that adopted by its rival: Projected Revenues for Different Combinations of Mobile Technology Standards (in billions)   Standards (Qualcomm-T-Mobile) Qualcomm’s Revenues T-Mobile’s Revenues CDMA-GSM $13.5 $9.7 CDMA-CDMA $17.2 $15.6 GSM-CDMA $16.7 $10.1 GSM-GSM $15.5 $19.8 Determine the Nash equilibrium/equilibria of this game. Then, explain the economic forces that give rise to the structure of the payoffs and any difficulties the companies might have in achieving Nash equilibrium in the new market.

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
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Chapter15: Imperfect Competition
Section: Chapter Questions
Problem 15.7P
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Suppose that U.S.-based Qualcomm and European-based T-Mobile are contemplating infrastructure investments in a developing mobile telephone market. Qualcomm presently uses a code-division multiple access (CDMA) technology, which almost 67 million users in the United States utilize. In contrast, T-Mobile uses a global systems for mobile communication (GSM) technology that has become the standard in Europe and Asia. Each company must (simultaneously and independently) decide which of these two technologies to introduce in the new market. Qualcomm estimates that it will cost $1.2 billion to install its CDMA technology and $2.0 billion to install GSM technology. T-Mobile’s projected cost of installing GSM technology is $1.1 billion, while the cost of installing the CDMA technology is $2.7 billion. As shown in the accompanying table, each company’s projected revenues depend not only on the technology it adopts, but also on that adopted by its rival:

Projected Revenues for Different Combinations of Mobile Technology Standards (in billions)
 

Standards (Qualcomm-T-Mobile) Qualcomm’s Revenues T-Mobile’s Revenues
CDMA-GSM $13.5 $9.7
CDMA-CDMA $17.2 $15.6
GSM-CDMA $16.7 $10.1
GSM-GSM $15.5 $19.8


Determine the Nash equilibrium/equilibria of this game. Then, explain the economic forces that give rise to the structure of the payoffs and any difficulties the companies might have in achieving Nash equilibrium in the new market.

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Step 1

Nash equilibrium refers to the situation where there is no incentive for both the player deviates from their selection of the strategy.

Pay-off matrix reveals the possible benefit of the each person by selecting the different strategies.

Dominant strategy refers to the situation where the person can maximize his benefit regardless of the other person decision.

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