2023/08/28 by Krishna Dasaratha, Benjamin Golub, Dasaratha, Krishna +3 · 1 citation
Business, Management and Accounting · Decision Sciences · Economics, Econometrics and Finance · #Business Strategy and Innovation #Economic theories and models #FOS: Economics and business #Game Theory and Applications #Theoretical Economics (econ.TH)
paper · pdf · doi:10.48550/arxiv.2308.14717
openalex publication_date 2023/08/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
A group of agents each exert effort to produce a joint output, with the complementarities between their efforts represented by a (weighted) network. Under equity compensation, a principal motivates the agents to work by giving them shares of the output. We describe the optimal equity allocation. It is characterized by a neighborhood balance condition: any two agents receiving equity have the same (weighted) total equity assigned to their neighbors. We also study the problem of selecting the team of agents who receive positive equity, and show this team must form a tight-knit subset of the complementarity network, with any pair being complementary to one another or jointly to another team member. Finally, we give conditions under which the amount of equity used for compensation is increasing in the strength of a team's complementarities and discuss several other applications.