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The Generalized War of Attrition

  • Jeremy Bulow
  • Paul Klemperer

We generalize the War of Attrition model to allow for N + K firms competing for N prizes. Two special cases are of particular interest. First, if firms continue to pay their full costs after dropping out (as in a standard-setting context), each firm's exit time is independent both of K and of the actions of other players. Second, in the limit in which firms pay no costs after dropping out (as in a natural-oligopoly problem), the field is immediately reduced to N + 1 firms. Furthermore, we have perfect sorting, so it is always the K 1 lowest-value players who drop out in zero time, even though each player's value is private information to the player. We apply our model to politics, explaining the length of time it takes to collect a winning coalition to pass a bill.

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Paper provided by National Bureau of Economic Research, Inc in its series NBER Working Papers with number 5872.

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Date of creation: Jan 1997
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Publication status: published as American Economic Review, Vol. 89, no. 1 (March 1999): 175-189.
Handle: RePEc:nbr:nberwo:5872
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