Coordinated choice (in general)
Posted: 29 Oct 2020, 23:35
I am looking to estimate a coordinated daily activity pattern choice model. The specific likelihood function might be a mixed logit or latent class, but I am curious if there are methods in Apollo to set up the coordination explicitly.
Specifically, consider two users n and m, choosing alternative j among choice set J. The utility function for an alternative j n is a function of their own utility, the other user's utility for that option, and any variables that might describe the interaction.
U_jn = U_jn + U_jm + X_jnm\lambda
An example application of this model is Gupta, et al. (2006) https://journals.sagepub.com/doi/abs/10.3141/2493-06. One known way to estimate this model is to expand the choice set from J to J^N, where N is the number of individuals that get coordinated. But this explodes real quick when there are multiple members of a household, or the number of alternatives is high.
Is it possible to configure the utility functions or likelihoods in Apollo to estimate this model without extensive data preparation? That is, could we specify a variable to identify coordination and then specify joint variables?
Specifically, consider two users n and m, choosing alternative j among choice set J. The utility function for an alternative j n is a function of their own utility, the other user's utility for that option, and any variables that might describe the interaction.
U_jn = U_jn + U_jm + X_jnm\lambda
An example application of this model is Gupta, et al. (2006) https://journals.sagepub.com/doi/abs/10.3141/2493-06. One known way to estimate this model is to expand the choice set from J to J^N, where N is the number of individuals that get coordinated. But this explodes real quick when there are multiple members of a household, or the number of alternatives is high.
Is it possible to configure the utility functions or likelihoods in Apollo to estimate this model without extensive data preparation? That is, could we specify a variable to identify coordination and then specify joint variables?