7. Based only on the knowledge that the premerger market share of two firms proposing to merge was 20 percent each, an economist working for the Justice Department was able to determine that, if approved, the postmerger HHI would increase by 800. How was the economist able to draw this conclusion without knowledge of the other firms' market shares? From this information, can you devise a general rule explaining how the Herfindahl-Hirschman index is affected when exactly two firms in the market merge? (Hint: Compare & + with (a + b)².)

ENGR.ECONOMIC ANALYSIS
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Chapter1: Making Economics Decisions
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7. Based only on the knowledge that the premerger market share of two firms
proposing to merge was 20 percent each, an economist working for the Justice
Department was able to determine that, if approved, the postmerger HHI
would increase by 800. How was the economist able to draw this conclusion
without knowledge of the other firms' market shares? From this information,
can you devise a general rule explaining how the Herfindahl-Hirschman index
is affected when exactly two firms in the market merge? (Hint: Compare a +
with (a + b)².)
Transcribed Image Text:7. Based only on the knowledge that the premerger market share of two firms proposing to merge was 20 percent each, an economist working for the Justice Department was able to determine that, if approved, the postmerger HHI would increase by 800. How was the economist able to draw this conclusion without knowledge of the other firms' market shares? From this information, can you devise a general rule explaining how the Herfindahl-Hirschman index is affected when exactly two firms in the market merge? (Hint: Compare a + with (a + b)².)
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