Technical Note—Revenue Volatility Under Uncertain Network Effects

References

• Acemoglu D, Ozdaglar A, Tahbaz-Salehi A (2016) Networks, shocks, and systemic risk. Bramoullé Y, Galeotti A, Rogers B, eds. The Oxford Handbook on the Economics of Networks (Oxford University Press, Oxford, UK), 569–610.Google Scholar
• Anderson GW, Guionnet A, Zeitouni O (2010) An Introduction to Random Matrices, Cambridge Studies in Advanced Mathematics, Vol. 118 (Cambridge University Press, New York).Google Scholar
• Bai Z-D, Yin Y-Q (1988) Necessary and sufficient conditions for almost sure convergence of the largest eigenvalue of a Wigner matrix. Ann. Probab. 16(4):1729–1741.Crossref, Google Scholar
• Ballester C, Calvó-Armengol A, Zenou Y (2006) Who’s who in networks. Wanted: The key player. Econometrica 74(5):1403–1417.Crossref, Google Scholar
• Bloch F, Quérou N (2013) Pricing in social networks. Games Econom. Behav. 80(July):243–261.Crossref, Google Scholar
• Bramoullé Y, Kranton R (2007) Public goods in networks. J. Econom. Theory 135(1):478–494.Crossref, Google Scholar
• Bramoullé Y, Kranton R, D’amours M (2014) Strategic interaction and networks. Amer. Econom. Rev. 104(3):898–930.Crossref, Google Scholar
• Candogan O, Bimpikis K, Ozdaglar A (2012) Optimal pricing in networks with externalities. Oper. Res. 60(4):883–905.Link, Google Scholar
• Chen Y-J, Zenou Y, Zhou J (2018) Competitive pricing strategies in social networks. RAND J. Econom. 49(3):672–705.Crossref, Google Scholar
• Cohen MC, Harsha P (2020) Designing price incentives in a network with social interactions. Manufacturing Service Oper. Management 22(2):292–309.Link, Google Scholar
• Corbo J, Calvó-Armengol A, Parkes DC (2007) The importance of network topology in local contribution games. Deng X, Graham FC, eds. Proc. Internet Network Econom. 3rd Internat. Workshop Web Internet Econom. (Springer, Berlin), 388–395.Google Scholar
• Cvetković DM (1971) Graphs and their spectra. Publikacije Elektrotehničkog fakulteta. Serija Matematika i fizika (354/356):1–50.Google Scholar
• Du C, Cooper WL, Wang Z (2016) Optimal pricing for a multinomial logit choice model with network effects. Oper. Res. 64(2):441–455.Link, Google Scholar
• Du C, Cooper WL, Wang Z (2018) Optimal worst-case pricing for a logit demand model with network effects. Oper. Res. Lett. 46(3):345–351.Crossref, Google Scholar
• Fainmesser IP, Galeotti A (2016) Pricing network effects. Rev. Econom. Stud. 83(1):165–198.Crossref, Google Scholar
• Galeotti A, Goyal S (2009) Influencing the influencers: A theory of strategic diffusion. RAND J. Econom. 40(3):509–532.Crossref, Google Scholar
• Galeotti A, Goyal S, Jackson MO, Vega-Redondo F, Yariv L (2010) Network games. Rev. Econom. Stud. 77(1):218–244.Crossref, Google Scholar
• Hartline J, Mirrokni V, Sundararajan M (2008) Optimal marketing strategies over social networks. Proc. 17th Internat. Conf. World Wide Web (Association for Computing Machinery, New York), 189–198.Google Scholar
• Hofmeister M (1988) Spectral radius and degree sequence. Math. Nachr. 139(1):37–44.Crossref, Google Scholar
• Hu M, Milner J, Wu J (2015) Liking and following and the newsvendor: Operations and marketing policies under social influence. Management Sci. 62(3):867–879.Link, Google Scholar
• Hu M, Wang Z, Feng Y (2020) Information disclosure and pricing policies for sales of network goods. Oper. Res. 68(4):1162–1177.Link, Google Scholar
• Huang J, Mani A, Wang Z (2021) The value of price discrimination in large random networks. Management Sci., ePub ahead of print, November 8, https://doi.org/10.1287/mnsc.2021.4108Google Scholar
• Lovász L, Pelikan J (1973) On the eigenvalues of trees. Periodica Math. Hungarica 3(1–2):175–182.Crossref, Google Scholar
• Nosal E (1970) Eigenvalues of graphs. Unpublished master’s thesis, University of Calgary, Calgary, AB, Canada.Google Scholar
• Wang R, Wang Z (2017) Consumer choice models with endogenous network effects. Management Sci. 63(11):3944–3960.Link, Google Scholar
• Wigner EP (1958) On the distribution of the roots of certain symmetric matrices. Ann. Math. 67(2):325–327.Crossref, Google Scholar
• Wilfe HS (1967) The eigenvalues of a graph and its chromatic number. J. London Math. Soc. 42(1):330–332.Crossref, Google Scholar
• Zhang Y, Chen Y-J (2020) Optimal nonlinear pricing in social networks under asymmetric network information. Oper. Res. 68(3):818–833.Link, Google Scholar
• Zhou J, Chen Y-J (2015) Key leaders in social networks. J. Econom. Theory 157(May):212–235.Crossref, Google Scholar
• Zhou J, Chen Y-J (2016) Targeted information release in social networks. Oper. Res. 64(3):721–735.Link, Google Scholar
• Zhou J, Chen Y-J (2018) Optimal pricing with sequential consumption in networks. Oper. Res. 66(5):1218–1226.Link, Google Scholar