Modified leaky competing accumulator model of decision making with multiple alternatives: the Lie-algebraic approach.

ABSTRACT: In this communication, based upon the stochastic Gompertz law of population growth, we have reformulated the Leaky Competing Accumulator (LCA) model with multiple alternatives such that the positive-definiteness of evidence accumulation is automatically satisfied. By exploiting the Lie symmetry of the backward Kolmogorov equation (or Fokker-Planck equation) assoicated with the modified model and applying the Wei-Norman theorem, we have succeeded in deriving the N-dimensional joint probability density function (p.d.f.) and marginal p.d.f. for each alternative in closed form. With this joint p.d.f., a likelihood function can be constructed and thus model-fitting procedures become feasible. We have also demonstrated that the calibration of model parameters based upon the Monte Carlo simulated

SUBMITTER: Lo CF 

PROVIDER: S-EPMC8149408 | biostudies-literature | 2021 May

REPOSITORIES: biostudies-literature