~/talk

Quality Selection in Two-Sided Markets: A Price Discrimination Approach

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Reduction shows platform quality selection maps to a price-discrimination reduction: two stylized two-sided models (sellers choose quantity under platform-set prices, or sellers set prices under Bertrand competition) produce menus of (price, expected quality) offerings. Main claim: when buyer-type mass times type is convex (M·F(M) convex) and the feasible menus satisfy a technical one-rich condition, a single-menu (keep top, remove bottom) is optimal; proofs use equilibrium implementability, Jensen’s inequality, and constructed counterexamples when convexity fails.

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  1. 0:00Intro
  2. 1:18Motivation: Quality selection
  3. 3:24Outline
  4. 7:15Formal model of seller quality
  5. 11:46Information structures: Example
  6. 16:11The game
  7. 26:37Sellers and buyers
  8. 28:13Equilibrium
  9. 32:19From information structures to price discrimination
  10. 33:20A price discrimination problem
  11. 40:21Remarks on theorem
  12. 42:36Graphical intuition
  13. 43:32Application to market models
  14. 47:47Conclusion
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