Income Pools for Superstar Markets

• 成果类型: Article; Early Access
• 署名作者: Chan, Timothy C. Y.; Chen, Ningyuan; Fernandes, Craig
• 署名单位: University of Toronto; University of Toronto
• 刊物名称: MANAGEMENT SCIENCE
• ISSN/ISSBN: 0025-1909
• DOI: 10.1287/mnsc.2024.07480
• 发表日期: 2025
• 关键词: income pools; risk sharing; expected utility; stochastic dominance; CONTRACTS

摘要

Superstar markets, where a small portion of individuals earn disproportionately high incomes, are common in fields like entrepreneurship, sports, and entertainment. Participants in these markets face significant income uncertainty, which can deter entry or prompt early exit. To address this difficulty, we propose income pools: contracts where individuals agree to share a portion of future earnings with pool members if a specific salary milestone is achieved. To date, hundreds of income pool contracts have been signed in practice. This paper develops the first mathematical model to analyze such contracts, focusing on stability (i.e., pools where no agents leave or join). When constrained to creating a single pool, we show that a stable pool always exists with specific structural properties. Generally, stronger agents tend to be more collaborative and favor larger pools, whereas weaker agents are more selfish and prefer smaller pools. Next, we analyze pools that adhere to a maximum size (mirroring current practice) and show that stability persists. These pools typically require more weaker agents than strong ones and we find an interesting Pareto dominance result, whereby all agents in a stable pool prefer a particular unique stable pool. Finally, we study general partition structures, prove that a stable partition always exists under certain conditions, and provide an algorithm to construct sucha partition. We conclude with a case study on data from 2,000 professional baseball players to demonstrate a 20%-30% increase in social welfare if players join income pools, under varying contract parameters.