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Effects of Reputation in Bubbles and Crashes ( Revised in April 2008 )

Hitoshi Matsushima

No CARF-F-121, CARF F-Series from Center for Advanced Research in Finance, Faculty of Economics, The University of Tokyo

Abstract: We analyze the stock market by modeling it as a timing game among arbitrageurs for beating the gun. We assume that (1) arbitrageurs are behavioral with a small probability, (2) the bubble soft-lands, and (3) the postcrash price increases as the X-day is postponed. Due to these assumptions, the effect of reputation assumes importance because any rational arbitrageur is willing to build a reputation in order to ride the bubble. It is demonstrated that the bubble persists for a long period as an outcome of a unique symmetric Nash equilibrium, even if all arbitrageurs are almost certainly rational.

Pages: 43 pages
Date: 2008-04
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