Axiomatic Formulation of the Optimal Transaction Cost Theory in the Legal Process Through Cobb-Douglas Optimization

Bonsu Kwadwo Osei ()
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Bonsu Kwadwo Osei: Zhejiang Gongshang University, China

Economic and Regional Studies / Studia Ekonomiczne i Regionalne, 2021, vol. 14, issue 3, 385-389

Abstract: Subject and purpose of work: This paper uses Cobb-Douglas optimization to formulate an optimal transaction cost algorithm within the constraint of a generalized legal framework. Materials and methods: The author has adopted a Lagrangian approach to formulate the social utility function, then, from a set of legally allowed strategies established the Karush-Kuhn-Tucker conditions for the legal game so as to find the optimal parameters within the social utility function. Finally, the optimal transaction cost algorithm was developed. Results: The Bordered Hessian Matrix from the partial differentials of the social utility function showed that there is a particular parameter within the social utility function which describes the optimal transaction cost. An adjustment of this parameter is essential in mechanism design for legal games. Conclusions: The author has shown how transaction costs influence the set of strategies played by players in a legal game, and has described the essence of a social utility function and how it can be optimized.

Keywords: transaction costs; legal process; Cobb-Douglas optimization; game theory; Lagrangian approach (search for similar items in EconPapers)
Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:vrs:ecoreg:v:14:y:2021:i:3:p:385-389:n:9

DOI: 10.2478/ers-2021-0027

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