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First price auctions: Monotonicity and uniqueness

Listed author(s):
  • Gustavo E. Rodriguez


    (Wagner College, Staten Island, New York 10301, USA)

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    I study monotonicity and uniqueness of the equilibrium strategies in a two-person first price auction with affiliated signals. Existing results establish uniqueness within the class of non-decreasing bidding strategies. I show that there is an effectively unique Nash equilibrium within the class of piecewise monotone strategies. The main result is that in equilibrium, the strategies must be strictly increasing within the support of winning bids. This result provides the missing link for the analysis of uniqueness in two-person first price auctions. The analysis applies to asymmetric environments as well and does not require risk neutrality.

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    Article provided by Springer & Game Theory Society in its journal International Journal of Game Theory.

    Volume (Year): 29 (2000)
    Issue (Month): 3 ()
    Pages: 413-432

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    Handle: RePEc:spr:jogath:v:29:y:2000:i:3:p:413-432
    Note: Received: August 1997/Last revision: March 2000
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