In this section, we model the optimal strategy for the SO based on business features. The notations and assumptions of the model are described in
Table 2 and
Table 3. We assume satellite data users are heterogeneous in different channels. We denote customers’ valuation by
v, which is uniformly distributed in [0, 1]. If the user chooses to own a satellite to acquire data, they need to pay the SO
to purchase the satellite. Plus, they need to take the risk of a failed launch. We assume that the probability of a successful launch is
e. Thus, the utility of customers under the sell channel can be measured as
If the user chooses the SataaS channel to acquire data, they need to pay
as the subscription price to the SO. It is worth noting that users have to face a security risk in acquiring data through the SataaS channel; in order to portray the utility loss of customers, we introduce
s. To ensure that the demand is non-negative, we assume that
.
We next explore the SO’s payoff, consumer surplus, and social welfare in the NR model, NS model, and ND model when BCT is absent. By analyzing the performance of different channels, we obtain the optimal strategy for the SO.
3.1. NR Model: Sell Channel without Blockchain
By setting Equation (
1) to zero, we can derive the marginal customers who are indifferent as to purchasing a satellite and not purchasing a satellite. Since the production cost per satellite unit cannot be neglected, we denote it by
. Then, the sell channel demand and the SO’s payoff function can be measured as follows:
After the derivation, we obtain the optimal selling price and profit for the SO in the sell channel, that is, and , respectively.
The closed form of the price and profit indicate that they both increase with the launch success rate and decrease with the per satellite cost, which is intuitive.
3.2. NS Model: SataaS Channel without Blockchain
In this section, we explore the optimal decisions of the SO in the SataaS channel. The market demand derivation for the SataaS channel is similar to that in the sell channel. By taking Equation (
2) to be zero, we derive the marginal customers who are indifferent in relation to subscribing to SataaS and not subscribing to SataaS. However, in contrast to the NR model, the marginal cost of SataaS can be ignored. Nevertheless, the upfront investment in the satellite constellation is significant, and we set it as a fixed cost
C. Thus, the SataaS channel demand and the SO’s payoff function can be measured as follows:
After solving the equation, the optimal price in the SataaS channel is , and the profit is .
It can be observed that the optimal price is decreasing in s (). The profit of the SO first increases and then decreases as s increases. In other words, the price of SataaS decreases as the degree of loss of consumer utility due to the data risk increases. The variation in profit depends on the trade-off between the price and market demand, which both change with s. This is also intuitive.
3.3. ND Model: Dual Channel without Blockchain
When the SO employs a dual-channel strategy, consumers are free to choose to own satellites or subscribe to SataaS. In this scenario, their consumption decision depends on the comparison of the consumer surplus obtained from purchasing and subscribing: versus . Consumers whose valuation meets will consider purchasing the satellite directly. We denote by the valuation of this type of marginal consumer, i.e., . Consumers whose valuation meets will consider subscribing to SataaS. We denote by the valuation of this type of marginal consumer, i.e., . Eventually, if , marginal consumers with a valuation equal to are indifferent to these two channels. If the valuation is higher than this value, they will tend to subscribe to SataaS.
Thus, there exist two cases,
and
. In the first case, if
, then we can obtain
. This means that consumers’ valuations in
tend towards purchasing satellites from the sell channel, while consumers in
prefer to subscribe to SataaS. Those consumers with a valuation in
refuse to spend in either channel. In the second case, no customers prefer to purchase satellites directly. Therefore, consumers whose valuation is in
subscribe to satellite data from SataaS channels. Based on the above analysis, we obtain the market segmentation of the dual channels:
Thus, the SO’s payoff function can be written as follows:
By solving the constraint equation, we obtain Lemma 1
Lemma 1. According to the relationship of e, s, and , there are three strategies for the SO:
- 1.
When , the dual channel exists, where , , .
- 2.
When , there is only the SataaS channel, where , .
- 3.
When , there is only the sell channel, where , .
The equilibrium outcomes are summed in Table 4.
The conditions for dividing the channel in Lemma 1 give us the following insight. Here, e is the probability of satellite launch success, is the cost of manufacturing a satellite, and s represents the utility loss to the user from the data risk of SataaS. Therefore, when the launch success rate is low and the satellite cost is high, no users will choose to purchase the satellite, and the dual channel is reduced to the SataaS strategy; when the utility loss to the user from data security is high, no users will choose SataaS, and the dual channel is reduced to the sell strategy.
Thus, only when the satellite launch success rate remains at can both the SataaS and sell channels exist at the same time. As the launch success rate declines, satellite buyers in the dual channel will no longer choose to own satellites and will shift to the SataaS market. As the launch success rate rises, users will move to the sell market when the utility of launch success outweighs the utility of lost data security.
Furthermore, in order to derive the optimal strategy, this paper compares the profits of the dual-channel strategy with those of the sell and SataaS channels, respectively. From the analysis, we obtain Proposition 1, and the comparison results are summarized in
Table 5.
Proposition 1. When , the dual channel exists:
(a) , ; (b) if , , .
Proposition 1 sheds light on the conditions for choosing the dual-channel strategy. Proposition 1(a) shows that compared with the pure SataaS strategy, the SO will always obtain a higher profit with the dual-channel strategy. Plus, consumers also benefit more with this strategy. Proposition 1(b) indicates that compared with the pure sell strategy, the important factor for choosing a channel is the fixed cost of SataaS. That is, if C is small, then the dual-channel strategy is better for the SO. Otherwise, the pure sell channel will generate a higher profit. For customers, the consumer surplus of the dual-channel strategy is always higher than that of the pure sell channel. In conclusion, if the dual-channel strategy is possible, it is always the best strategy for consumers. This is because dual channels provide two service options, allowing more consumer needs to be met. For the SO, the condition for the choice of the dual-channel strategy is that C is relatively small.