Discontinuous analysis is a mathematical method used to study discontinuous or non-smooth functions, which are functions that exhibit sudden changes or “jumps” in their outputs. In economics, discontinuous analysis is used to study economic models that include sudden changes in behavior or preferences, such as those that result from changes in government policy, natural disasters, or other events that have a significant impact on the economy.
For example, a researcher might use discontinuous analysis to study the effects of a sudden change in tax policy on consumer behavior. By studying the sudden changes in consumer behavior at the points where tax policy changes, the researcher can better understand the impact of the policy change on the overall economy.
Those who pursue economics PHD also study option pricing where discontinuous analysis is used to accurately price financial derivates. Another area of focus is macroeconomic modeling which employs discontinuous analysis for solving partial differential equations that arise in macroeconomic models
To use discontinuous analysis in economics, a PhD economist would need a strong background in mathematical and quantitative methods, including optimization, dynamic programming, and partial differential equations. Additionally, they would need to be familiar with the economic theory and models relevant to the problem they are studying, as well as have a good understanding of the data and empirical methods used in economics research.
Economists may also use discontinuous analysis to study macroeconomic models, which involve complex interactions between variables such as consumption, investment, and government spending. It allows economists to make more accurate predictions about economic outcomes.
There are many areas of study when it comes to discontinuous analysis in economics PhD. It all draws down to your area of interest where you can use the various models for analyzing complex economic systems.
In general, discontinuous analysis is a useful tool for economists who are interested in studying sudden changes or discontinuities in economic behavior, and can provide valuable insights into the behavior of the economy in response to policy changes or other events.