Solving Share Equations in Logit Models Using the LambertW Function

  title={Solving Share Equations in Logit Models Using the LambertW Function},
  author={Ashwin Aravindakshan and Brian T. Ratchford},
Though individual demand and supply equations can readily be expressed in logit models, closed-form solutions for equilibrium shares and prices are intractable due to the presence of products of polynomial and exponential terms. This hinders the employment of logit models in theoretical studies, and also makes it difficult to develop reduced-form expressions for share and price as a function of exogenous variables for use in empirical studies. In this paper we propose that a mathematical… CONTINUE READING
2 Citations
20 References
Similar Papers


Publications citing this paper.
Showing 1-2 of 2 extracted citations


Publications referenced by this paper.
Showing 1-10 of 20 references

Analysis of asymptotic projectile motion with air resistance using Lambert W function

  • R.D.H. Warburton, J. Wang.
  • American Journal of Physics. November, 72(11…
  • 2004
1 Excerpt

Logit Demand Estimation Under Competitive Pricing Behavior: An Equilibrium Framework

  • D Besanko, S. Gupta, D. Jain
  • Marketing Science
  • 1998

Multinomial Logit Market Share Models: Equilibrium Characteristics and Strategic Implications

  • S. Basuroy, D. Nguyen.
  • Management Science. 44(10), 1396-1408.
  • 1998
1 Excerpt

Similar Papers

Loading similar papers…