Serious strategy for the makers of fun: Analyzing the option to switch from pay-to-play to free-to-play in a two-stage optimal control model with quadratic costs
Author
Abstract
Suggested Citation
DOI: 10.1016/j.ejor.2017.11.071
Download full text from publisher
As the access to this document is restricted, you may want to search for a different version of it.
References listed on IDEAS
- W. Davis Dechert & Kazuo Nishimura, 2012.
"A Complete Characterization of Optimal Growth Paths in an Aggregated Model with a Non-Concave Production Function,"
Springer Books, in: John Stachurski & Alain Venditti & Makoto Yano (ed.), Nonlinear Dynamics in Equilibrium Models, edition 127, chapter 0, pages 237-257,
Springer.
- Dechert, W. Davis & Nishimura, Kazuo, 1983. "A complete characterization of optimal growth paths in an aggregated model with a non-concave production function," Journal of Economic Theory, Elsevier, vol. 31(2), pages 332-354, December.
- Skiba, A K, 1978. "Optimal Growth with a Convex-Concave Production Function," Econometrica, Econometric Society, vol. 46(3), pages 527-539, May.
- Wagener, F. O. O., 2003. "Skiba points and heteroclinic bifurcations, with applications to the shallow lake system," Journal of Economic Dynamics and Control, Elsevier, vol. 27(9), pages 1533-1561, July.
- Reddy, Puduru V. & Wrzaczek, Stefan & Zaccour, Georges, 2016. "Quality effects in different advertising models - An impulse control approach," European Journal of Operational Research, Elsevier, vol. 255(3), pages 984-995.
- Tomiyama, Ken & Rossana, Robert J., 1989. "Two-stage optimal control problems with an explicit switch point dependence : Optimality criteria and an example of delivery lags and investment," Journal of Economic Dynamics and Control, Elsevier, vol. 13(3), pages 319-337, July.
- Hartl, Richard F., 1987. "A simple proof of the monotonicity of the state trajectories in autonomous control problems," Journal of Economic Theory, Elsevier, vol. 41(1), pages 211-215, February.
- Caulkins, Jonathan P. & Feichtinger, Gustav & Grass, Dieter & Hartl, Richard F. & Kort, Peter M. & Seidl, Andrea, 2015. "Skiba points in free end-time problems," Journal of Economic Dynamics and Control, Elsevier, vol. 51(C), pages 404-419.
- Caulkins, Jonathan P. & Feichtinger, Gustav & Grass, Dieter & Hartl, Richard F. & Kort, Peter M. & Seidl, Andrea, 2017. "Interaction of pricing, advertising and experience quality: A dynamic analysis," European Journal of Operational Research, Elsevier, vol. 256(3), pages 877-885.
- Gustav Feichtinger & Richard F. Hartl & Suresh P. Sethi, 1994. "Dynamic Optimal Control Models in Advertising: Recent Developments," Management Science, INFORMS, vol. 40(2), pages 195-226, February.
- Jørgensen, Steffen & Zaccour, Georges, 2014. "A survey of game-theoretic models of cooperative advertising," European Journal of Operational Research, Elsevier, vol. 237(1), pages 1-14.
- Caulkins, Jonathan P. & Feichtinger, Gustav & Grass, Dieter & Hartl, Richard F. & Kort, Peter M. & Seidl, Andrea, 2013. "When to make proprietary software open source," Journal of Economic Dynamics and Control, Elsevier, vol. 37(6), pages 1182-1194.
- Tomiyama, Ken, 1985. "Two-stage optimal control problems and optimality conditions," Journal of Economic Dynamics and Control, Elsevier, vol. 9(3), pages 317-337, November.
- Elke Moser & Andrea Seidl & Gustav Feichtinger, 2014. "History-dependence in production-pollution-trade-off models: a multi-stage approach," Annals of Operations Research, Springer, vol. 222(1), pages 457-481, November.
- Makris, Miltiadis, 2001. "Necessary conditions for infinite-horizon discounted two-stage optimal control problems," Journal of Economic Dynamics and Control, Elsevier, vol. 25(12), pages 1935-1950, December.
- Marchand, André & Hennig-Thurau, Thorsten, 2013. "Value Creation in the Video Game Industry: Industry Economics, Consumer Benefits, and Research Opportunities," Journal of Interactive Marketing, Elsevier, vol. 27(3), pages 141-157.
Citations
Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
Cited by:
- Thomas Newham & Nicolas Scelles & Maurizio Valenti, 2022. "The Consequences of a Switch to Free-to-Play for Overwatch and Its Esports League," JRFM, MDPI, vol. 15(11), pages 1-16, October.
- Erin Cottle Hunt & Frank N. Caliendo, 2024. "Dynamic Optimization with Timing Risk," Mathematics, MDPI, vol. 12(17), pages 1-18, August.
- Seidl, Andrea, 2019. "Zeno points in optimal control models with endogenous regime switching," Journal of Economic Dynamics and Control, Elsevier, vol. 100(C), pages 353-368.
- Li, Han & Gupta, Ashish & Zhang, Jie & Flor, Nick, 2020. "Who will use augmented reality? An integrated approach based on text analytics and field survey," European Journal of Operational Research, Elsevier, vol. 281(3), pages 502-516.
- Mohit Tyagi & Nomesh B. Bolia, 2024. "Optimal pricing of subscription services in the restaurant industry," Journal of Revenue and Pricing Management, Palgrave Macmillan, vol. 23(3), pages 262-273, June.
Most related items
These are the items that most often cite the same works as this one and are cited by the same works as this one.- Seidl, Andrea, 2019. "Zeno points in optimal control models with endogenous regime switching," Journal of Economic Dynamics and Control, Elsevier, vol. 100(C), pages 353-368.
- Caulkins, Jonathan P. & Feichtinger, Gustav & Grass, Dieter & Hartl, Richard F. & Kort, Peter M. & Seidl, Andrea, 2013. "When to make proprietary software open source," Journal of Economic Dynamics and Control, Elsevier, vol. 37(6), pages 1182-1194.
- Elke Moser & Andrea Seidl & Gustav Feichtinger, 2014. "History-dependence in production-pollution-trade-off models: a multi-stage approach," Annals of Operations Research, Springer, vol. 222(1), pages 457-481, November.
- Francesco Bartaloni, 2021. "Existence of the Optimum in Shallow Lake Type Models with Hysteresis Effect," Journal of Optimization Theory and Applications, Springer, vol. 190(2), pages 358-392, August.
- Herbert Dawid & Michel Y. Keoula & Peter M. Kort, 2017.
"Numerical Analysis of Markov-Perfect Equilibria with Multiple Stable Steady States: A Duopoly Application with Innovative Firms,"
Dynamic Games and Applications, Springer, vol. 7(4), pages 555-577, December.
- Dawid, H. & Keoula, M.Y. & Kort, Peter M., 2017. "Numerical analysis of Markov-perfect equilibria with multiple stable steady states : A duopoly application with innovative firms," Other publications TiSEM ba11d072-0d31-4447-b313-d, Tilburg University, School of Economics and Management.
- Erin Cottle Hunt & Frank N. Caliendo, 2024. "Dynamic Optimization with Timing Risk," Mathematics, MDPI, vol. 12(17), pages 1-18, August.
- Ken-Ichi Akao & Takashi Kamihigashi & Kazuo Nishimura, 2015.
"Critical Capital Stock in a Continuous-Time Growth Model with a Convex-Concave Production Function,"
Discussion Paper Series
DP2015-39, Research Institute for Economics & Business Administration, Kobe University.
- Ken-Ichi Akao & Takashi Kamihigashi & Kazuo Nishimura, 2019. "Critical capital stock in a continuous time growth model with a convex-concave production function," RIEEM Discussion Paper Series 1906, Research Institute for Environmental Economics and Management, Waseda University.
- Wirl, Franz, 2016. "Indeterminacy and history dependence of strategically interacting players," Economics Letters, Elsevier, vol. 145(C), pages 19-24.
- Feichtinger, Gustav & Grass, Dieter & Kort, Peter M. & Seidl, Andrea, 2021. "On the Matthew effect in research careers," Journal of Economic Dynamics and Control, Elsevier, vol. 123(C).
- Stefan Wrzaczek & Michael Kuhn & Ivan Frankovic, 2020.
"Using Age Structure for a Multi-stage Optimal Control Model with Random Switching Time,"
Journal of Optimization Theory and Applications, Springer, vol. 184(3), pages 1065-1082, March.
- Wrzaczek, Stefan & Kuhn, Michael & Frankovic, Ivan, 2019. "Using age-structure for a multi-stage optimal control model with random switching time," ECON WPS - Working Papers in Economic Theory and Policy 06/2019, TU Wien, Institute of Statistics and Mathematical Methods in Economics, Economics Research Unit.
- Wirl, Franz, 2009. "OPEC as a political and economical entity," European Journal of Political Economy, Elsevier, vol. 25(4), pages 399-408, December.
- Dogan, Erol & Le Van, Cuong & Saglam, Cagri, 2011.
"Optimal timing of regime switching in optimal growth models: A Sobolev space approach,"
Mathematical Social Sciences, Elsevier, vol. 61(2), pages 97-103, March.
- Erol Dogan & Cuong Le Van & Cagri Saglam, 2010. "Optimal timing of regime switching in optimal growth models: A Sobolev space approach," Working Papers 16, Development and Policies Research Center (DEPOCEN), Vietnam.
- Cuong Le Van & Erol Dogan & Cagri Saglam, 2011. "Optimal timing of regime switching in optimal growth models: A Sobolev space approach," Post-Print halshs-00639729, HAL.
- Cuong Le Van & Erol Dogan & Cagri Saglam, 2011. "Optimal timing of regime switching in optimal growth models: A Sobolev space approach," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00639729, HAL.
- Cuong Le Van & Erol Dogan & Cagri Saglam, 2011. "Optimal timing of regime switching in optimal growth models: A Sobolev space approach," PSE-Ecole d'économie de Paris (Postprint) halshs-00639729, HAL.
- J. P. Caulkins & G. Feichtinger & D. Grass & G. Tragler, 2007. "Bifurcating DNS Thresholds in a Model of Organizational Bridge Building," Journal of Optimization Theory and Applications, Springer, vol. 133(1), pages 19-35, April.
- Tatiana Kiseleva & Florian Wagener, 2015.
"Bifurcations of Optimal Vector Fields,"
Mathematics of Operations Research, INFORMS, vol. 40(1), pages 24-55, February.
- Kiseleva, T. & Wagener, F.O.O., 2011. "Bifurcations of Optimal Vector Fields," CeNDEF Working Papers 11-05, Universiteit van Amsterdam, Center for Nonlinear Dynamics in Economics and Finance.
- Farzin, Y. Hossein & Akao, Ken-Ichi, 2006.
"When is it Optimal to Exhaust a Resource in a Finite Time?,"
Natural Resources Management Working Papers
12153, Fondazione Eni Enrico Mattei (FEEM).
- Y. Hossein Farzin & Ken-Ichi Akao, 2006. "When is it Optimal to Exhaust a Resource in a Finite Time?," Working Papers 2006.23, Fondazione Eni Enrico Mattei.
- Boucekkine, Raouf & Saglam, Cagri & Valléee, Thomas, 2004.
"Technology Adoption Under Embodiment: A Two-Stage Optimal Control Approach,"
Macroeconomic Dynamics, Cambridge University Press, vol. 8(2), pages 250-271, April.
- Raouf Boucekkine & Cagri Saglam & Thomas Vallée, 1999. "Technology adoption under embodiment: A two-stage optimal control approach," Post-Print hal-03193663, HAL.
- BOUCEKKINE, Raouf & SAGLAM, Cagri & VALLEE, Thomas, 2004. "Technology adoption under embodiment: a two-stage optimal control approach," LIDAM Reprints CORE 1702, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- BOUCEKKINE, RAOUF & SAGLAM , Cagri & VALLÉE, Thomas, 2003. "Technology adoption under embodiment: a two-stage optimal control approach," LIDAM Discussion Papers CORE 2003055, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- Raouf, BOUCEKKINE & Cagri, SAGLAM & Thomas, VALLEE, 2002. "Technology adoption under embodiment : A two-stage optimal control approach," LIDAM Discussion Papers IRES 2003007, Université catholique de Louvain, Institut de Recherches Economiques et Sociales (IRES).
- Yuri Yegorov & Dieter Grass & Magda Mirescu & Gustav Feichtinger & Franz Wirl, 2020.
"Growth and Collapse of Empires: A Dynamic Optimization Model,"
Journal of Optimization Theory and Applications, Springer, vol. 186(2), pages 620-643, August.
- Yuri Yegorov & Dieter Grass & Magda Mirescu & Gustav Feichtinger & Franz Wirl, 2019. "Growth and Collapse of Empires: A Dynamic Optimization Model," VID Working Papers 1905, Vienna Institute of Demography (VID) of the Austrian Academy of Sciences in Vienna.
- Dechert, W.D. & O'Donnell, S.I., 2006. "The stochastic lake game: A numerical solution," Journal of Economic Dynamics and Control, Elsevier, vol. 30(9-10), pages 1569-1587.
- Andrea Seidl & Stefan Wrzaczek & Fouad El Ouardighi & Gustav Feichtinger, 2016. "Optimal Career Strategies and Brain Drain in Academia," Journal of Optimization Theory and Applications, Springer, vol. 168(1), pages 268-295, January.
- Dieter Grass & Richard F. Hartl & Peter M. Kort, 2012. "Capital Accumulation and Embodied Technological Progress," Journal of Optimization Theory and Applications, Springer, vol. 154(2), pages 588-614, August.
More about this item
Keywords
OR in entertainment; Optimal control; Multi-stage modeling; History-dependence; Video games business model;All these keywords.
Statistics
Access and download statisticsCorrections
All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:ejores:v:267:y:2018:i:2:p:700-715. See general information about how to correct material in RePEc.
If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.
If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .
If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/eor .
Please note that corrections may take a couple of weeks to filter through the various RePEc services.