Issue |
RAIRO-Oper. Res.
Volume 56, Number 1, January-February 2022
|
|
---|---|---|
Page(s) | 165 - 181 | |
DOI | https://doi.org/10.1051/ro/2021191 | |
Published online | 07 February 2022 |
On the impact of corruption on managers’ and controllers’ behavior
1
IRC on Smart Mobility and Logistics and Department of Mathematics, King Fahd University of Petroleum & Minerals, Dhahran, Saudi Arabia
2
Department of Financial Sciences Applied College, Imam Abdulrahman Bin Faisal University, Dammam, Saudi Arabia
3
Engineering Department, Faculty of Natural and Mathematical Sciences, King’s College London, London, UK
* Corresponding author: slimb@kfupm.edu.sa
Received:
7
July
2021
Accepted:
23
December
2021
In this paper, we study the impact of corruption in the context of a game involving a manager and a controller. We propose a model where the controller initiates the bribe demand from the manager. We identify the structure of three potential subgame perfect Nash equilibria, and show their uniqueness. Next, we analyze the influence of the corruption parameters (bribery amount, reciprocity bonus and reputation gain) and the manager’s and the controller’s bonuses/penalties on the equilibria. Finally, we explain how the manager and the controller may increase, decrease or maintain their performance, when the bribery amount, the reciprocity bonus or the reputation gain index increase.
Mathematics Subject Classification: 91-10 / 91-11 / 91A68 / 91A80
Key words: Game theory / corruption game / Nash equilibrium / Manager–Controller conflict
© The authors. Published by EDP Sciences, ROADEF, SMAI 2022
This is an Open Access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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