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Applied mathematical theory for monetary-fiscal interaction in a supranational monetary union
(2014)
I utilize a differentiable dynamical system รก la Lotka-Voletrra and explain monetary and fiscal interaction in a supranational monetary union. The paper demonstrates an applied mathematical approach that provides useful insights about the interaction mechanisms in theoretical economics in general and a monetary union in particular. I find that a common central bank is necessary but not sufficient to tackle the new interaction problems in a supranational monetary union, such as the free-riding behaviour of fiscal policies. Moreover, I show that upranational institutions, rules or laws are essential to mitigate violations of decentralized fiscal policies.
The paper designs a quantum model of decision-making (QMDM) that utilizes neuroscientific evidence. The new model provides both normative and positive implications to economics. First, it enhances the study of decision-making which is an extension of the expected utility theory (EUT) in mathematical economics. Second, we demonstrate how the quantum model mitigates drawbacks of the expected utility theory of today.
The paper studies liquidity management in the banking sector at the zero lower bound implemented by central banks. The new era of monetary policy with interest rates at zero and quantitative easing programs raise questions about the effectiveness of central banking policy and their impact on the banking sector. I find that the zero lower bound reduces liquidity reserves of banks and thus creates less credit supply. The T-LTRO program, developed by the European Central Bank, has helped to tackle this problem. However, the recently expanded asset purchase program reveals the opposite effect. Hence, the recent liquidity provisions by central banks have put incentives rather on de-leveraging than bank lending.