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The Generalized War of Attrition

  • Jeremy I. Bulow

    (Yale University & Stanford Business School)

  • Paul Klemperer

    (Nuffield College, Oxford University)

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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File URL: http://cowles.yale.edu/sites/default/files/files/pub/d11/d1142.pdf
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Paper provided by Cowles Foundation for Research in Economics, Yale University in its series Cowles Foundation Discussion Papers with number 1142.

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Length: 24 pages
Date of creation: Dec 1996
Date of revision:
Handle: RePEc:cwl:cwldpp:1142
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