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Neutrosophic game pricing methods with risk aversion for pricing of data products

With the progressive development of satellite image data products, their pricing strategies become more and more important for enterprises to earn profits. The objective of this study is to explore several game pricing methods with risk aversion for pricing of data products in neutrosophic environments. First, to reflect the uncertainty of problem parameters, the idea of neutrosophic variables is adopted. With the aid of neutrosophic variables, the truth, indeterminacy and falsity degrees of players can be intuitively and conveniently obtained. Subsequently, considering the risk aversion of decision makers, the optimistic value theory is introduced into neutrosophic variables for calculating the optimistic value of player's profits. Then, different pricing models are constructed under the Bertrand and Stackelberg game scenarios, respectively. After deriving the corresponding equilibrium equations, some numerical instances are provided to testify the feasibility of our methods. Furthermore, the influences of dissimilar market power structures are examined. Finally, the effects of seven problem parameters and players' confidence levels on pricing results are investigated through sensitivity analyses. The results show that the proposed methods are practicable and can offer guidance for the pricing decision of data products.