Auctions with Third-Party Welfare: A General Framework

Standard auctions ignore non-bidding stakeholders, producing a hollow win

The 2009 Chrysler Section 363 sale left unsecured creditors with 29 cents on the dollar while secured creditors and Fiat gained. This is the Hollow Win: both auction parties gain while the system degrades.

• 53% of large Chapter 11 cases now use Section 363 sales (Gilson, Hotchkiss, Osborn 2015)
• Secured creditors control the sale process through credit-bidding rights (Ayotte and Morrison 2009)

Optimal auction adjusts virtual values by expected S-welfare cost

The Auctions-with-Third-Party-Welfare Theorem shows that a designer weighting non-bidding class S by λ > 0 should use adjusted virtual value ψ̂ = ψ + λ·w_i(σ_i), where w_i is expected S-welfare if bidder i wins.

• Four instruments emerge: reserve adjustment, payment contingencies, disclosure restrictions, participation restrictions
• Myerson (1981) is the λ=0 special case

1 unifies seven Hansen papers (1985–2001) as special cases

Each of Hansen's sector-specific results is obtained by specifying the S-class, dominant instrument, and observability structure. The seven papers are projections of one λ-adjusted allocation rule.

• Hansen (1985): contingent payments for creditor welfare
• Hansen (1986): sealed-bid opacity for related-market participants
• Hansen (1988): endogenous quantity for downstream consumers
• Hansen & Thomas (1992): participation restriction for shareholders
• Hansen & Thomas (1998): reserve + contingencies for creditors
• Hansen (2001): bidder pool, secrecy, preemption for shareholders/employees

Reserve price rises for high-damage bidders, falls for protective ones

Optimal reserve r̂ (σ_i) solves ψ (r̂ ) = λ·m_i(σ_i) − λ, where m_i is the S-damage index. Excluding a marginal high-damage bidder improves welfare even at revenue cost.

• Recovers Hansen & Thomas (1998): bankruptcy reserve above Myerson level to exclude piecemeal liquidation bidders

Contingent payments realign winner incentives with S-welfare

When post-auction S-outcomes are observable, optimal transfer includes λ·[w_i(ω) − w_i(σ_i)], making the winner bear the gap between realized and expected S-welfare.

• Recovers Hansen (1985): earnouts and clawbacks in corporate sales
• Implementation: deferred consideration conditioned on employee retention or creditor recovery

Process opacity preserves S-relevant signals; consequence transparency disciplines

Prat's (2005) transparency paradox applies: process transparency (open bids) induces conformism that suppresses σ-revealing signals. Sealed bids preserve σ information for the designer.

• Recovers Hansen (1986): sealed-bid advantage over open auctions in adjacent-market contexts
• Consequence transparency (observable post-auction outcomes) is always welfare-improving

Participation screen excludes bidders whose S-damage exceeds revenue contribution

Bidder i participates only if ψ (v_i) ≥ λ·E[∂w_i/∂x_i v_i, σ_i]. High-damage bidders are optimally excluded even if they would pay more.

• Recovers Hansen & Thomas (1992): Revlon duty to exclude bidders whose strategy harms shareholders relative to bid premium

Revealed λ is estimable from standard auction data

Cross-jurisdictional comparison of Swedish mandatory bankruptcy auctions and U.S. Section 363 sales identifies the implicit welfare weight. For U.S. bankruptcy auctions, estimated β_W = 4.2: each dollar of Section 363 revenue is associated with $4.20 in welfare losses to junior creditors.

• Swedish regime: mandatory auction, no reorganization alternative (Eckbo & Thorburn 2008)
• U.S. regime: secured-creditor-controlled Section 363 sales (Gilson, Hotchkiss, Osborn 2015)
• Implied λ is lower in U.S. than Sweden, consistent with secured-creditor bias

Courts should impose positive λ on junior creditor welfare via reserve and contingencies

The estimated β_W of 4.2 implies that ignoring S-welfare in Section 363 sales costs $4.20 in stakeholder losses per dollar of auction revenue. Policy remedy: raise reserves and mandate contingent payments tied to creditor recovery.

• Reserve adjustment: exclude bidders whose acquisition would impose piecemeal liquidation
• Contingent payments: clawbacks if junior recovery falls below threshold