Beyond Equilibrium: Revisiting Two-Sided Markets from an Agent-Based Modeling Perspective

Heinrich, Torsten and Gräbner, Claudius (2015): Beyond Equilibrium: Revisiting Two-Sided Markets from an Agent-Based Modeling Perspective.

Abstract

Two-sided markets are an important aspect of today's economies. Yet, the attention they have received in economic theory is limited, mainly due to methodological constraints of conventional approaches: two-sided markets quickly lead to non-trivial dynamics that would require a computational approach, as analytical models quickly become intractable.

One approach to this problem is to opt for models that operate on an aggregated level, abstracting from most of the (micro-level) causes of these non-trivial dynamics. Here we revisit a well known equilibrium model by Rochet and Tirole of two-sided markets that has taken this approach. Analyzing the model from an agent-based perspective, however, reveals several inconsistencies and implicit assumptions of the original model. This, together with the highly implausible assumptions that are required to make the model analytically tractable, limits its explanatory power significantly and motivates an alternative approach.

The agent-based model we propose allows us to study the phenomenon of two-sided markets in a more realistic and adequate manner: Not only are we able to compare different decision making rules for the providers, we are also able to study situations with more than two providers.%We find that Thus, our model represents a first step towards a more realistic and policy-relevant study of two-sided markets.

• Item Type: MPRA Paper
• Language: English
• Keywords: Two-sided markets; Network externalities; Agent-based modeling; Simulation; Heuristic decision making; Reinforcement learning; Satisficing; Differential evolution; Evolutionary economics; Market structure; IT economics; Equilibrium dynamics
• Subjects: C - Mathematical and Quantitative Methods > C6 - Mathematical Methods ; Programming Models ; Mathematical and Simulation Modeling > C61 - Optimization Techniques ; Programming Models ; Dynamic Analysis; C - Mathematical and Quantitative Methods > C6 - Mathematical Methods ; Programming Models ; Mathematical and Simulation Modeling > C62 - Existence and Stability Conditions of Equilibrium; C - Mathematical and Quantitative Methods > C6 - Mathematical Methods ; Programming Models ; Mathematical and Simulation Modeling > C63 - Computational Techniques ; Simulation Modeling; D - Microeconomics > D4 - Market Structure, Pricing, and Design; L - Industrial Organization > L1 - Market Structure, Firm Strategy, and Market Performance > L14 - Transactional Relationships ; Contracts and Reputation ; Networks; L - Industrial Organization > L1 - Market Structure, Firm Strategy, and Market Performance > L15 - Information and Product Quality ; Standardization and Compatibility

References

Armstrong, M. (2006). Competition in two-sided markets. The RAND Journal of Economics, 37 (3), 668–691. doi:10.1111/j.1756-2171.2006.tb00037.x

Arthur, W. B., Ermoliev, Y. M., & Kaniovski, Y. M. (1987). Path dependent processes and the emergence of macro-structure. European Journal of Operational Research, 30, 294–303.

Bendor, J., Mookherjee, D., & Ray, D. (2001). Reinforcement learning in repeated interaction games. The B.E. Journal of Theoretical Economics, 1 (1), Article 3. doi:10.2202/1534-5963.1008

Choi, J. P. (2010). Tying in two-sided markets with multi-homing. The Journal of Industrial Economics, 58 (3), 607–626. doi:10.1111/j.1467-6451.2010.00426.x David, P. A. (1985). Clio and the economics of QWERTY. American Economic Review, 75 (2), 332–337.

Katz, M. L. & Shapiro, C. (1985). Network externalities, competition and compatibility. American Economic Review, 75 (3), 424–440.

Koloseni, D., Lampinen, J., & Luukka, P. (2013). Differential evolution based nearest prototype classifier with optimized distance measures for the features in the data sets. Expert Systems with Applications, 40 (10), 4075–4082. doi:http://dx.doi.org/10.1016/j.eswa.2013.01.040

Liu, J. & Lampinen, J. (2005). A fuzzy adaptive differential evolution algorithm. Soft Computing, 9 (6), 448–462. doi:10.1007/s00500-004-0363-x

Meyer, T. G. (2012). Path dependence in two-sided markets: a simulation study on technological path dependence with an application to platform competition in the smartphone industry (Doctoral dissertation, Free University of Berlin, Berlin, Germany). Available online http://www.diss.fu-berlin.de/diss/servlets/MCRFileNodeServlet/FUDISS_derivate_000000012507/Meyer_2012_Path_depende

Peitz, M., Rady, S., & Trepper, P. (2011). Experimentation in two-sided markets. CEPR Discussion Paper No. DP8670. Available at SSRN: http://ssrn.com/abstract=1965918.

Rochet, J.-C. & Tirole, J. (2003). Platform competition in two-sided markets. Journal of the European Economic Association, 1 (4), 990–1029.

Rochet, J.-C. & Tirole, J. (2006). Two-sided markets: a progress report. The RAND Journal of Economics, 37 (3), 645–667.

Shy, O. (2011). A short survey of network economics. Review of Industrial Organization, 38 (2), 119–149. doi:10.1007/s11151-011-9288-6

Simon, H. A. (1955). A behavioral model of rational choice. The Quarterly Journal of Economics, 69 (1), 99–118. doi:10.2307/1884852. eprint: http://qje.oxfordjournals.org/content/69/1/99.full.pdf+html

Storn, R. & Price, K. (1997). Differential evolution – a simple and efficient heuristic for global optimization over continuous spaces. Journal of Global Optimization, 11 (4), 341–359. doi:10. 1023/A:1008202821328