Sequential Matching of Entrepreneurs to Accelerators and Venture Capitalists
|Title||Sequential Matching of Entrepreneurs to Accelerators and Venture Capitalists|
|Author||Ed Egan, Jeremy Fox|
|© edegan.com, 2016|
Files and Dbases
The primary dbase is vcdb2 The main SQL script is
The objective of this project is to create a multi-stage matching model and estimate this model using data on entrepreneurs that match to accelerators and (lead) venture capitalists.
See Fox (2008) - An Empirical Repeated Matching Game Applied to Market for a brief write up on a relevant theory paper by Jeremy
Simple Outline of Model
As of now, the goal is to simulate a repeated matching model with dynamically optimizing agents. More specifically, there are two sides for a matching market with transferable utility (generically, call these men and women for now) with a continuum of agents, but a finite number of types. They participate in matches for T periods and receive utility that is a sum of a structural component (determined solely by their type and the type they are matched with) and a individual taste component (with some known distribution).
What distinguishes this model from a static matching model is that the agents have some probability of transitioning between types that is conditional on the match they make in the previous period (e.g., a man of low type might be more likely to change into a man of high type after being matched to a woman of high type). When making these matches, the agents take these transition probabilities into account when evaluating expected future utility. This adds a dynamic element to the model.
Work to do
- Code up three algorithms to simulate match(primal,IPFP,dual)
- Compare with R code from NYU
Work done so far
- Coded up primal and IPFP (may have errors)
Work to do in near term
- Compare with R code from NYU (using current solvers/optimizers, and with Gurobi)