Outcome Disclosure and Temporal Refinement in Multi-Battle Team Contests

๐Ÿ“… 2026-08-23
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็ ”็ฉถ้€š่ฟ‡ๆŠซ้œฒ็ป“ๆžœๅ’Œ็ป†ๅŒ–ๆ—ถ้—ดๅฎ‰ๆŽ’ๆฅไผ˜ๅŒ–ๅ›ข้˜Ÿ็ซž่ต›ไธญ็š„้ž้‡‘้’ฑๅทฅๅ…ทไฝฟ็”จ๏ผŒไปฅๆ้ซ˜ไบงๅ‡บ๏ผŒ้€‚็”จไบŽไธๅŒๆˆๆœฌ็ป“ๆž„ใ€‚
๐Ÿ“ Abstract
A team-contest designer values output rather than expenditure; nonlinear conversion makes the distinction consequential. We study two non-pecuniary instruments in majority-rule contests decided by pairwise all-pay battles with private abilities: disclosing resolved outcomes and splitting the battle schedule into finer blocks. Neither changes a battle's average pivotality; each only redistributes it across histories. Under nested information structures, this redistribution makes equilibrium ability-scaled expenditure weakly more dispersed player by player without changing its mean; expected aggregate expenditure is invariant across all designs considered. The resulting convex-order comparison ranks expected total output: convex output costs favor no disclosure and coarser temporal structures, concave costs favor full disclosure and finer ones, and linear costs make both comparisons neutral. The rankings hold for finite-support and smooth continuous-type ability distributions. The mechanism extends to degree-zero component contest technologies with a unique equilibrium outcome distribution. No and full disclosure bound every admissible public garbling.
Problem

Research questions and friction points this paper is trying to address.

Outcome Disclosure
Temporal Refinement
Team Contests
Innovation

Methods, ideas, or system contributions that make the work stand out.

Outcome Disclosure
Temporal Refinement
Non-pecuniary Instruments
Nested Information Structures
Convex-order Comparison
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