On the Robustness of Strategic Experimentation to Persuasive Cheap Talk

Jonathan Rosborough

Department of Economics, St. Francis Xavier University, Antigonish, Canada.

DOI: 10.4236/tel.[phone]                

Abstract

This paper develops a model in which a privately informed seller attempts to indirectly influence the experimentation strategy of a buyer by sending costless signals. The question under consideration is whether there is any credible way in which this single rational seller could influence the buyer’s decisions. We provide bounds on information transmission in equilibrium, and show that there exists no reporting strategy for the seller which changes the experimentation strategy of the buyer. These results demonstrate the robustness of a class of learning models to coercion.

Keywords

Learning; Experimentation; Persuasion; Cheap Talk; Multi-Armed Bandits

Conflicts of Interest

The authors declare no conflicts of interest.

References

[1]	M. Rothschild, “A Two-Armed Bandit Theory of Market Pricing,” Journal of Economic Theory, Vol. 9, No. 2, 1974, pp. 185-202. Hdoi:10.1016/0022-0531(74)90066-0
[2]	D. Bergemann and J. V?lim?ki, “Learning and Strategic Pricing,” Econometrica, Vol. 64, No. 5, 1996, pp. 1125-1149. Hdoi:10.2307/2171959
[3]	H. Bar-Isaac, “Reputation and Survival: Learning in a Dynamic Signalling Model,” Review of Economic Studies, Vol. 70, No. 2, 2003, pp. 231-251. Hdoi:10.1111/1467-937X.00243
[4]	V. P. Crawford and J. Sobel, “Strategic Information Transmission,” Econometrica, Vol. 50, No. 6, 1982, pp. 1431-1451. Hdoi:10.2307/1913390
[5]	R. J. Aumann and S. Hart, “Long Cheap Talk,” Econometrica, Vol. 71, No. 6, 2003, pp. 1619-1660. Hdoi:10.1111/1468-0262.00465
[6]	M. Ottaviani and P. N. Sorensen, “Reputational Cheap Talk,” RAND Journal of Economics, Vol. 37, No. 1, 2006, pp. 155-175. Hdoi:10.1111/j.1756-2171.2006.tb00010.x
[7]	R. Benabou and G. Laroque, “Using Privileged Information to Manipulate Markets: Insiders, Gurus and Credibility,” Quarterly Journal of Economics, Vol. 107, No. 3, 1992, pp. 921-958. Hdoi:10.2307/2118369
[8]	D. A. Berry and B. Fristedt, “Bernouilli One-Armed Bandits—Arbitrary Discount Sequences,” Annals of Statistics, Vol. 7, No. 5, 1979, pp. 1086-1105. Hdoi:10.1214/aos/1176344792
[9]	R. Kakigi, “A Note on Discounted Future Two-Armed Bandits,” Annals of Statistics, Vol. 11, No. 2, 1983, pp. 707-711. Hdoi:10.1214/aos/1176346176