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Private markets are driven by the forces of supply and demand. In these markets, individuals and businesses interact to exchange goods and services for a mutually agreed price. Through this exchange, resources are allocated according to the preferences and needs of consumers and producers. Private markets aim to maximize their profits, and the decisions to develop new technology are driven by the perceived returns on investment.

Positive externalities occur when the benefits of a good or service extend beyond the consumers or producers directly involved in the market transaction. In the context of technological innovation, the development of new technology can have far-reaching benefits to society as a whole, including improvements in living standards, reduction in poverty, and advancements in healthcare, education, and communication. These benefits often go beyond the private value realized by the firms that created the technology and the consumers who directly use it.

Market failure occurs when the market does not allocate resources efficiently, meaning that some resources can be allocated in a way that would yield higher overall benefits for society. In the case of positive externalities like new technology development, the market may fail to allocate sufficient resources to research and development due to the inability of private firms to capture all the social benefits of their investment. This disconnect between private value and social value creates a situation where private markets may not provide enough incentives for new technology development.

Since private firms are motivated by profits, they will not invest in the development of new technology unless they expect to receive a return on their investment. If they can't capture the full social benefits of their technological advancements, they will see the potential returns as inadequate, and therefore devote fewer resources to research and development. As a result, the pace of technological progress in the market may be slower than what would be socially optimal.

To overcome the problem of market failure due to positive externalities, the government can intervene to provide additional incentives for the development of new technology. This may include measures such as subsidies for research and development, tax incentives, and the establishment of national research institutes, to help bridge the gap between private markets and socially optimal levels of technological advancement. In conclusion, private markets might provide too few incentives for the development of new technology because of the presence of positive externalities and market failure. The difference between the private and social benefits of new technology development can lead to underinvestment in research and development, which may slow down technological advancement. Government intervention can help address this issue and promote a more optimal level of investment in new technologies.