An Approximate Model for Bidders in Sequential Automated Auctions

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An Approximate Model for Bidders in Sequential Automated Auctions
In this paper, we propose a probabilistic model to study the interaction of bidder and seller agents in sequential automated auctions. We consider a designated “special bidder” (SB) who arrives at an auction and observes the ongoing activities among a number of bidders and the seller jointly, as a stochastic system that is parameterised by the rate of the bidding and selling events. The auction is modelled as a random process with discretised state-space, where the state-space represents the recently attained price for the good. We distinguish the statistical properties of the SB from that of the others, and isolate the system states that denote the desirable outcomes for the SB. In this manner, we define the measures that are of interest to the SB: its winning probability, the average time it takes to purchase an item, and its expected savings with respect to the maximum payable. For tractability, we introduce an approximately equivalent model that yields convenient and closed fo...
Erol Gelenbe, Kumaara Velan
Added 27 May 2010
Updated 27 May 2010
Type Conference
Year 2009
Authors Erol Gelenbe, Kumaara Velan
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