Resource competition and technological diversity.

Area of Science:

• Economics
• Mathematical Modeling
• Ecology

Background:

• Technological evolution is complex, influenced by resource availability and competition.
• Existing models often overlook explicit resource dynamics in technological change.

Purpose of the Study:

• To develop and investigate a mathematical model for technological structure evolution.
• To analyze how competing technologies interact with essential resources.
• To predict competitive outcomes and understand technological change patterns.

Main Methods:

• A system of consumer-resource rate equations models technology evolution.
• Firms are represented as populations with Leontief-Liebig production functions.
• Resource competition dynamics and break-even analysis are employed.

Main Results:

• A measure for competitiveness based on break-even resource availability is proposed.
• Conditions for technology coexistence require superior competition for one resource and inferior for others.
• The principle of competitive exclusion is observed: technology count is limited by resource count.

Conclusions:

• The model provides deeper insights into technological change than conventional diffusion models.
• Competitive outcomes are predictable from resource-dependent growth and consumption rates.
• Explicit resource dynamics are crucial for understanding exploitative competition in technological systems.