A Framework for Studying Decentralized Bayesian Learning with Strategic Agents

References

• Acemoglu D, Dahleh MA, Lobel I, Ozdaglar A (2011) Bayesian learning in social networks. Rev. Econom. Stud. 78(4):1201–1236.Google Scholar
• Bala V, Goyal S (1998) Learning from neighbours. Rev. Econom. Stud. 65(3):595–621.Google Scholar
• Banerjee AV (1992) A simple model of herd behavior. Quart. J. Econom. 107(3):797–817.Google Scholar
• Banks JS, Sobel J (1987) Equilibrium selection in signaling games. Econometrica 55(3):647–661.Google Scholar
• Bikhchandani S, Hirshleifer D, Welch I (1992) A theory of fads, fashion, custom, and cultural change as informational cascades. J. Political Econom. 100(5):992–1026.Google Scholar
• Çelen B, Kariv S (2004) Distinguishing informational cascades from herd behavior in the laboratory. Amer. Econom. Rev. 94(3):484–498.Google Scholar
• Cho I-K (1987) A refinement of sequential equilibria. Econometrica 55(6):1367–1389.Google Scholar
• Cho I-K, Kreps DM (1987) Signaling games and stable equilibria. Quart. J. Econom. 102(2):179–221.Google Scholar
• Cover TM, Thomas JA (2012) Elements of Information Theory, 2nd ed. (John Wiley & Sons, Hoboken, NJ).Google Scholar
• DeGroot MH (1974) Reaching a consensus. J. Amer. Statist. Assoc. 69(345):118–121.Google Scholar
• Ellison G, Fudenberg D (1993) Rules of thumb for social learning. J. Political Econom. 101(4):612–643.Google Scholar
• Ellison G, Fudenberg D (1995) Word-of-mouth communication and social learning. Quart. J. Econom. 110(1):93–125.Google Scholar
• Fudenberg D, Tirole J (1991) Game Theory (MIT Press, Cambridge, MA).Google Scholar
• Gale D, Kariv S (2003) Bayesian learning in social networks. Games Econom. Behav. 45(2):329–346.Google Scholar
• Guarino A, Jehiel P (2013) Social learning with coarse inference. Amer. Econom. J. Microeconom. 5(1):147–174.Google Scholar
• Guarino A, Harmgart H, Huck S (2011) Aggregate information cascades. Games Econom. Behav. 73(1):167–185.Google Scholar
• Harel M, Mossel E, Strack P, Tamuz O (2014) The speed of social learning. Preprint, submitted December 22, https://arxiv.org/abs/1412.7172v1.Google Scholar
• Herrera H, Hörner J (2013) Biased social learning. Games Econom. Behav. 80:131–146.Google Scholar
• Jadbabaie A, Molavi P, Sandroni A, Tahbaz-Salehi A (2012) Non-Bayesian social learning. Games Econom. Behav. 76(1):210–225.Google Scholar
• Le TN, Subramanian VG, Berry RA (2014) The impact of observation and action errors on informational cascades. 53rd IEEE Conf. Decision Control (IEEE, Piscataway, NJ), 1917–1922.Google Scholar
• Le TN, Subramanian VG, Berry RA (2017) Information cascades with noise. IEEE Trans. Signal Inform. Processing Networks 3(2):239–251.Google Scholar
• Maskin E, Tirole J (2001) Markov perfect equilibrium: I. Observable actions. J. Econom. Theory 100(2):191–219.Google Scholar
• Molavi P, Tahbaz-Salehi A, Jadbabaie A (2017) Foundations of non-Bayesian social learning. Columbia Business School Research Paper 15-95, Columbia University, New York.Google Scholar
• Mossel E, Tamuz O (2013) Making consensus tractable. ACM Trans. Econom. Comput. 1(4):1–19.Google Scholar
• Mossel E, Sly A, Tamuz O (2014) Asymptotic learning on Bayesian social networks. Probab. Theory Related Fields 158(1–2):127–157.Google Scholar
• Mossel E, Sly A, Tamuz O (2015) Strategic learning and the topology of social networks. Econometrica 83(5):1755–1794.Google Scholar
• Mossel E, Mueller-Frank M, Sly A, Tamuz O (2020) Social learning equilibria. Econometrica 88(3):1235–1267.Google Scholar
• Nayyar A, Mahajan A, Teneketzis D (2013) Decentralized stochastic control with partial history sharing: A common information approach. IEEE Trans. Automatic Control 58(7):1644–1658.Google Scholar
• Nayyar A, Gupta A, Langbort C, Başar T (2014) Common information based Markov perfect equilibria for stochastic games with asymmetric information: Finite games. IEEE Trans. Automatic Control 59(3):555–570.Google Scholar
• Nedić A, Olshevsky A, Uribe CA (2016) A tutorial on distributed (non-Bayesian) learning: Problem, algorithms and results. 2016 IEEE 55th Conf. Decision Control (IEEE, Piscataway, NJ), 6795–6801.Google Scholar
• Osborne MJ, Rubinstein A (1994) A Course in Game Theory, vol. 1 (MIT Press, Cambridge, MA).Google Scholar
• Ouyang Y, Tavafoghi H, Teneketzis D (2017) Dynamic games with asymmetric information: Common information based perfect Bayesian equilibria and sequential decomposition. IEEE Trans. Automatic Control 62(1):222–237.Google Scholar
• Smith L, Sörensen P (2000) Pathological outcomes of observational learning. Econometrica 68(2):371–398.Google Scholar
• Vasal (2019) Sequential decomposition of repeated games with asymmetric information and dependent states. 2019 Amer. Control Conf. (ACC), 2309–2314. 10.23919/ACC.2019.8814782.Google Scholar
• Vasal D, Anastasopoulos A (2016a) Decentralized Bayesian learning in dynamic games. 54th Allerton Conf. Comm. Control Comput. (IEEE, Piscataway, NJ), 264–273.Google Scholar
• Vasal D, Anastasopoulos A (2016b) Decentralized Bayesian learning in dynamic games: A framework to study informational cascades. Preprint, submitted July 22, https://arxiv.org/abs/1607.06847.Google Scholar
• Vasal D, Sinha A, Anastasopoulos A (2019) A systematic process for evaluating structured perfect Bayesian equilibria in dynamic games with asymmetric information. IEEE Trans. Automatic Control 64(1):81–96.Google Scholar