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Optimal Control of Broadcasting Spectrum with a Variety-Reception Tradeoff and Consumers’ Income Sensitivity

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Abstract

A socially desirable number of royalties-paying users of a state-owned broadcasting spectrum is derived within an optimal control framework where the adjustment of the number of users to above-normal profits is adversely affected by sunk costs. The optimal control takes into account the tradeoff between the benefits from higher variety and royalties’ revenues and the costs of the intensified interferences associated with entry. It also considers the positive information-dissemination effect and the negative effort-diversion effect of broadcasts on aggregate income. The broadcasting industry’s optimal steady state is identified and its stability is analyzed.

Suggested Citation

  • Amnon Levy & Benoit Freyens, 2011. "Optimal Control of Broadcasting Spectrum with a Variety-Reception Tradeoff and Consumers’ Income Sensitivity," Economics Working Papers wp11-03, School of Economics, University of Wollongong, NSW, Australia.
    • Handle: RePEc:uow:depec1:wp11-03
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    File URL: http://www.uow.edu.au/content/groups/public/@web/@commerce/@econ/documents/doc/uow101889.pdf
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    References listed on IDEAS

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    1. Jérôme Adda & Marco Ottaviani & Paul Seabright, 2005. "The transition to digital television [‘Balladurette and Juppette: A discrete analysis of scrapping subsidies’]," Economic Policy, CEPR, CESifo, Sciences Po;CES;MSH, vol. 20(41), pages 160-209.
    2. Massimo Motta & Michele Polo, 1997. "Concentration and public policies in the broadcasting industry: the future of television," Economic Policy, CEPR, CESifo, Sciences Po;CES;MSH, vol. 12(25), pages 294-334.
    3. Thomas W. Hazlett, 2008. "Optimal Abolition of FCC Spectrum Allocation," Journal of Economic Perspectives, American Economic Association, vol. 22(1), pages 103-128, Winter.
    4. Webbink, Douglas W, 1973. "Regulation, Profits and Entry in the Television Broadcasting Industry," Journal of Industrial Economics, Wiley Blackwell, vol. 21(2), pages 167-176, April.
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    More about this item

    Keywords

    Economics; Optimal Control; Spectrum; OTA Broadcasts; Variety; Interferences; Royalties;
    All these keywords.

    JEL classification:

    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium
    • D61 - Microeconomics - - Welfare Economics - - - Allocative Efficiency; Cost-Benefit Analysis
    • K23 - Law and Economics - - Regulation and Business Law - - - Regulated Industries and Administrative Law
    • L52 - Industrial Organization - - Regulation and Industrial Policy - - - Industrial Policy; Sectoral Planning Methods

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