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Sustaining cooperation in a differential game of advertising goodwill accumulation

Steffen Jørgensen and Ekaterina Gromova

European Journal of Operational Research, 2016, vol. 254, issue 1, 294-303

Abstract: The paper suggests a differential game of advertising competition among three symmetric firms, played over an infinite horizon. The objective of the research is to see if a cooperative agreement among the firms can be sustained over time. For this purpose the paper determines the characteristic functions (value functions) of individual players and all possible coalitions. We identify an imputation that belongs to the core. Using this imputation guarantees that, in any subgame starting out on the cooperative state trajectory, no coalition has an incentive to deviate from what was prescribed by the solution of the grand coalition’s optimization problem.

Keywords: Differential games; Advertising competition; Core imputation (search for similar items in EconPapers)
Date: 2016
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Citations: View citations in EconPapers (9)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:ejores:v:254:y:2016:i:1:p:294-303

DOI: 10.1016/j.ejor.2016.03.029

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European Journal of Operational Research is currently edited by Roman Slowinski, Jesus Artalejo, Jean-Charles. Billaut, Robert Dyson and Lorenzo Peccati

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