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http://dspace.mediu.edu.my:8181/xmlui/handle/1721.1/1598| Title: | Monotone Equilibrium in Multi-Unit Auctions |
| Keywords: | Equilibrium Auctions |
| Issue Date: | 1-Jun-2013 |
| Description: | In a large class of multi-unit auctions of identical objects that includes the uniform-price, as-bid (or discriminatory), and Vickrey auctions, a Bayesian Nash equilibrium exists in monotone pure strategies whenever there is a finite price / quantity grid and each bidder's interim expected payoff function satisfies single-crossing in own bid and type. A stronger condition, non-decreasing differences in own bid and type, is satisfied in this class of auctions given (a) independent types and (b) risk-neutral bidders with marginal values that are (c) non-decreasing in own type and have (d) non-increasing differences in own type and others' quantities. A key observation behind this analysis is that each bidder's valuation for what he wins is always modular in own bid in any multi-unit auction in which the allocation is determined by market-clearing. This paper also provides the first proof of pure strategy equilibrium existence in the uniform-price auction when bidders have multi-unit demand and values that are not private. |
| URI: | http://koha.mediu.edu.my:8181/jspui/handle/1721 |
| Other Identifiers: | http://hdl.handle.net/1721.1/1598 |
| Appears in Collections: | MIT Items |
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