1"proposition","content","closest_prior_work","overlap_assessment","duplication_risk","differentiation_strategy"2"P1","Reservation price, hazard and expected price monotone in carrying cost c; participation threshold","albrecht2007opportunistic; lippman1976economics; arnold1999search; glower1998motivation","Established as a comparative static (two-state urgency / reservation theory); WP19 adds continuous types, the |pbar'|<=|V'| bound and the explicit threshold","high","Present as benchmark; credit antecedents; emphasise the price-vs-reservation attenuation and the free-entry threshold"3"P2","Arrival/qualification rate: prices increase, hazard increases under IFR, reservation gap narrows; Pareto counterexample with exact condition c > delta w0 + (r+delta)U","krainer2001theory; krainer2002equilibrium; williams1995pricing; eerola2018borrowing; bagnoli2005logconcave","Direction known; the log-concavity condition, the dispersion result and the exact DFR counterexample are not in the housing literature","medium","State the IFR condition explicitly; report the Pareto case as a theorem-level caveat; connect to eerola2018borrowing dispersion finding"4"P3","Free entry: unique tightness with homogeneous sellers, amplification of phi/A shocks, observational equivalence of A and phi in the baseline","diaz2013house; novymarx2009hot; head2014search; pissarides2000equilibrium; gabrovski2019beveridge","Standard DMP result; the observational-equivalence remark motivates the contingency extension","low","Keep short; cite DMP; stress the A-phi equivalence as a motivation for Experiment 4"5"P4","Liquidity shock with fundamentals fixed moves prices, volume, inventory and TOM jointly","ngai2014hot; novymarx2009hot; krainer2001theory (dividend shock, contrast); andersen2017firesales; campbell2011forced","Qualitatively present; the stationary cross-sectional statement with delta>0 vs delta=0 volume distinction is new in form","medium","Contrast explicitly with Krainer's dividend shock; use the delta=0 volume invariance as a diagnostic"6"P5","Price dispersion among identical houses from urgency; bounds; widening when liquidity falls","albrecht2007opportunistic; eerola2018borrowing; maury2014search; burdett1983equilibrium; harding2003bargainingpower","Dispersion from two-state urgency exists; the continuous-type variance decomposition and bounds are new; widening under IFR follows from P2","medium","Report the between/within decomposition in the posted-price and Nash cases; note that beta=0 isolates urgency dispersion"7"P6","Sale selection in transaction indices: impact decomposition, sign governed by d/dv [h_G M]; exponential/Pareto amplify, light tails dampen; delta=0 long-run neutrality","goetzmann2006reservation; fisher2003controlling; gatzlaff1997selection; hwang2004selectivity; lin2007illiquidity","Bias recognised empirically and econometrically; sign from primitives in a search equilibrium is open; the non-generality of the sign is new","low (duplication) / main contribution","Headline theoretical contribution; present with the distribution-dependence caveat and the numerical magnitudes of Experiment 10"8"P7","Cash vs mortgage: price gap = delay-bargaining term + outside-option term + selection term; bargaining term increasing in c","reher2024mortgage; han2024cash; bian2018bargaining; aroul2023cashdiscount; jauregui2019fundingprice","Bargaining compensation established and quantified; the three-term decomposition with urgency-dependent sign and the selection term are open","low (duplication)","Map to the Han-Hong (2-4%) vs Reher-Valkanov (11%) gap; stress that measured gaps are conditional on sale"9"P8","Posted prices: unique threshold, decreasing in c, pickier than Nash; all dispersion urgency-driven","yavas1995strategic; horowitz1992role; merlo2015home; han2016askingprice; albrecht2016directed","Standard monopoly-pricing-in-search result; used only as robustness","low","Robustness section only; no novelty claim"10"W","Welfare: Hosios benchmark with heterogeneous sellers and one-sided entry (numerical)","hosios1990efficiency; mortensen1994job; gabrovski2025note; albrecht2016directed","Hosios efficiency known for homogeneous case; the heterogeneity wedge is a numerical illustration, not a theorem","low","Label as numerical result; cite gabrovski2025note for the two-sided-entry caveat"11