Formalize regular Myerson optimality under explicit assumptions - #15
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ma-yuxuan wants to merge 8 commits into
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Formalize regular Myerson optimality under explicit assumptions#15ma-yuxuan wants to merge 8 commits into
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zhanquen
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Jun 13, 2026
| * `Auction.argmaxBid` - the bidder with the highest bid | ||
| * `Auction.maxBidExcluding` - the highest bid excluding a given bidder | ||
| * update lemmas for `argmaxBid` and `maxBidExcluding` | ||
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Restructure maxBid and argmaxBid
maxBid and argmaxBid are tools based on the hypothesis "b : I -> R", which is a specialisation of single-parameter mechanism.
Define SingleParameterAuction first, then define the above tools as its methods.
BidExcluding
Bid excluding, i.e. bidProfileWithout_i should be an abstract structure in MechanismDesign, as it is helpful for the properties including DsIC.
Check what a bidProfile is, then define on it bidProfileWithout_i. The maxBidExcluding is then defined.
zhanquen
reviewed
Jun 13, 2026
| separate from any density-based formulas one may later derive under | ||
| independence. | ||
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| ## Structure hierarchy |
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This hierarchy should be helpful
zhanquen
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Jun 13, 2026
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Restructure firstly AuctionBasic.lean
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Closes #13
Summary
Validation
Notes
This PR intentionally keeps primitive analytic discharge, uniform distribution examples, nonzero seller value, boundary tie-sharing variants, and non-regular ironing as follow-up work.