Investment in the Common Good: Free Rider Effect and the Stability of Mixed Strategy Equilibria

Published Online:https://doi.org/10.1287/opre.2022.2371

References

  • Aïd R, Basei M, Callegaro G, Campi L, Vargiolu T (2020) Nonzero-sum stochastic differential games with impulse controls: A verification theorem with applications. Math. Oper. Res. 45(1):205–232.LinkGoogle Scholar
  • Alvarez LHR (2001) Reward functionals, salvage values and optimal stopping. Math. Methods Oper. Res. 54(2):315–337.CrossrefGoogle Scholar
  • Alvarez LHR, Lempa J (2008) On the optimal stochastic impulse control of linear diffusions. SIAM J. Control Optim. 47(2):703–732.CrossrefGoogle Scholar
  • Ayres I, Cramton P (1996) Deficit reduction through diversity: How affirmative action at the fcc increased auction competition. Stanford Law Rev. 48:761–815.CrossrefGoogle Scholar
  • Bagnoli M, Watts SG (2003) Selling to socially responsible consumers: Competition and the private provision of public goods. J. Econom. Management Strategy 12(3):419–445.CrossrefGoogle Scholar
  • Basei M, Cao H, Guo X (2020) Nonzero-sum stochastic games and mean-field games with impulse controls. Preprint, submitted October 4, https://arxiv.org/abs/1901.08085v4.Google Scholar
  • Bensoussan A, Chevalier-Roignant B (2019) Sequential capacity expansion options. Oper. Res. 67(1):33–57.LinkGoogle Scholar
  • Blumenthal RM, Getoor RK (2007) Markov Processes and Potential Theory (Dover Publications, Mineola, NY).Google Scholar
  • Borodin A, Salminen P (1996) Handbook of Brownian Motion—Facts and Formulae (Birkhauser, Basel, Switzerland).CrossrefGoogle Scholar
  • Cadenillas A, Lakner P, Pinedo M (2010) Optimal control of a mean-reverting inventory. Oper. Res. 58(6):1697–1710.LinkGoogle Scholar
  • Campi L, De Santis D (2020) Nonzero-sum stochastic differential games between an impulse controller and a stopper. J. Optim. Theory Appl. 186:688–724.CrossrefGoogle Scholar
  • Constantinides GM, Richard SF (1978) Existence of optimal simple policies for discounted-cost inventory and cash management in continuous time. Oper. Res. 26(4):620–636.LinkGoogle Scholar
  • Cosso A (2013) Stochastic differential games involving impulse controls and double-obstacle quasi-variational inequalities. SIAM J. Control Optim. 51(3):2102–2131.CrossrefGoogle Scholar
  • Dutta PK, Rustichini A (1995) (s, S) equilibria in stochastic games. J. Econom. Theory 67(1):1–39.CrossrefGoogle Scholar
  • Dutta PK, Lach S, Rustichini A (1995) Better late than early: Vertical differentiation in the adoption of a new technology. J. Econom. Management Strategy 4(4):563–589.CrossrefGoogle Scholar
  • El Asri B, Mazid S (2018) Zero-sum stochastic differential game in finite horizon involving impulse controls. Appl. Math. Optim. 81(3):1055–1087.CrossrefGoogle Scholar
  • Ferrari G, Koch T (2019) On a strategic model of pollution control. Ann. Oper. Res. 275:297–319.CrossrefGoogle Scholar
  • Georgiadis G, Kim Y, Kwon HD (2022) The absence of attrition in a war of attrition under complete information. Games Econom. Behav. 131:171–185.CrossrefGoogle Scholar
  • Grenadier SR (1996) The strategic exercise of options: Development cascades and overbuilding in real estate markets. J. Finance 51(5):1653–1679.CrossrefGoogle Scholar
  • Gunther M (2015) Amazon, Best Buy and the free rider problem. The Guardian (August 5), https://www.theguardian.com/sustainable-business/2015/aug/05/amazon-best-buy-electronic-waste-walmart-recyling.Google Scholar
  • Guo X, Xu R (2019) Stochastic games for fuel follower problem: n vs. mean field game. SIAM J. Control Optim. 57(1):659–692.CrossrefGoogle Scholar
  • Hendricks K, Weiss A, Wilson C (1988) The war of attrition in continuous time with complete information. Internat. Econom. Rev. 29(4):663–680.CrossrefGoogle Scholar
  • Hoppe HC, Lehmann-Grube U (2001) Second-mover advantages in dynamic quality competition. J. Econom. Management Strategy 10(3):419–433.CrossrefGoogle Scholar
  • Jack A, Johnson TC, Zervos M (2008) A singular control model with application to the goodwill problem. Stochastic Processes Their Appl. 118(11):2098–2124.CrossrefGoogle Scholar
  • Kinnucan HW, Myrland Ø (2003) Free-rider effects of generic advertising: The case of salmon. Agribusiness 19(3):315–324.CrossrefGoogle Scholar
  • Kotchen MJ (2006) Green markets and private provision of public goods. J. Political Econom. 114(4):816–834.CrossrefGoogle Scholar
  • Kotowski MH (2018) On asymmetric reserve prices. Theoret. Econom. 13(1):205–238.CrossrefGoogle Scholar
  • Kwon HD (2022) Game of variable contributions to the common good under uncertainty. Oper. Res. 70(3):1359–1370.LinkGoogle Scholar
  • Kwon HD, Zhang H (2015) Game of singular stochastic control and strategic exit. Math. Oper. Res. 40(4):869–887.LinkGoogle Scholar
  • Lee JY, Fairchild GF (1988) Commodity advertising, imports and the free rider problem. J. Food Distribution Res. 19(2):36–42.Google Scholar
  • Lon PC, Zervos M (2011) A model for optimally advertising and launching a product. Math. Oper. Res. 36(2):363–376.LinkGoogle Scholar
  • Maskin E, Tirole J (2001) Markov perfect equilibrium. I. Observable actions. J. Econom. Theory 100(2):191–219.CrossrefGoogle Scholar
  • Maynard Smith J (1974) Theory of games and the evolution of animal conflicts. J. Theoret. Biol. 47(1):209–221.CrossrefGoogle Scholar
  • Mitchell D, Feng H, Muthuraman K (2014) Impulse control of interest rates. Oper. Res. 62(3):602–615.LinkGoogle Scholar
  • Morgan J, Tumlinson J (2019) Corporate provision of public goods. Management Sci. 65(10):4489–4504.LinkGoogle Scholar
  • Murto P (2004) Exit in duopoly under uncertainty. RAND J. Econom. 35(1):111–127.CrossrefGoogle Scholar
  • Nerlove M, Arrow KJ (1962) Optimal advertising policy under dynamic conditions. Economica 29(114):129–142.CrossrefGoogle Scholar
  • Øksendal B (2003) Stochastic Differential Equations: An Introduction with Applications, 6th ed. (Springer, Berlin).CrossrefGoogle Scholar
  • Ormeci M, Dai JG, Vate JV (2008) Impulse control of Brownian motion: The constrained average cost case. Oper. Res. 56(3):618–629.LinkGoogle Scholar
  • Reddy PV, Wrzaczek S, Zaccour G (2016) Quality effects in different advertising models—An impulse control approach. Eur. J. Oper. Res. 255(3):984–995.CrossrefGoogle Scholar
  • Revuz D, Yor M (1999) Continuous Martingales and Brownian Motion, vol. 293, 3rd ed. (Springer-Verlag, Berlin).CrossrefGoogle Scholar
  • Rogers LCG, Williams D (2000) Diffusions, Markov Processes and Martingales, vol. 1, 2nd ed. (Cambridge University Press, Cambridge, United Kingdom).Google Scholar
  • Rothkopf MH, Harstad RM, Fu Y (2003) Is subsidizing inefficient bidders actually costly? Management Sci. 49(1):71–84.LinkGoogle Scholar
  • Serafeim G (2017) Can index funds be a force for sustainable capitalism? Harvard Bus. Rev. (December 7), https://hbr.org/2017/12/can-index-funds-be-a-force-for-sustainable-capitalism.Google Scholar
  • Sethi SP (1977) Dynamic optimal control models in advertising: A survey. SIAM Rev. 19(4):685–725.CrossrefGoogle Scholar
  • Steg JH (2015) Symmetric equilibria in stochastic timing games. Preprint, submitted July 16, https://arxiv.org/abs/1507.04797v1.Google Scholar
  • Stettner L (1982) Zero-sum Markov games with stopping and impulsive strategies. Appl. Math. Optim. 9(1):1–24.CrossrefGoogle Scholar
  • Takahashi Y (2015) Estimating a war of attrition: The case of the US movie theater industry. Amer. Econom. Rev. 105(7):2204–2241.CrossrefGoogle Scholar
  • Touzi N, Vieille N (2002) Continuous-time Dynkin games with mixed strategies. SIAM J. Control Optim. 41(4):1073–1088.CrossrefGoogle Scholar
  • Wang Z (2009) (Mixed) strategy in oligopoly pricing: Evidence from gasoline price cycles before and under a timing regulation. J. Political Econom. 117(6):987–1030.CrossrefGoogle Scholar
  • Zabaljauregui D (2020) A fixed-point policy-iteration-type algorithm for symmetric nonzero-sum stochastic impulse control games. Appl. Math. Optim. 84(2):1751–1790.CrossrefGoogle Scholar
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