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1

On the one-shot two-person zero-sum game in football from a penalty kicker’s perspective

100%

EKHOSUEHI V. U.

Operations Research and Decisions

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2018

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vol. 28

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issue 3

17-27

EN

A penalty kicker’s problem in football has been modelled. The study took into consideration different directions in which the ball can be struck and goalkeepers’ success at defending shots. The strategic form of the game that can be used to predict how the kicker should optimally randomise his strategies has been modelled as a non-linear game-theoretic problem from a professional kicker’s viewpoint. The equilibrium of the game (i.e., the pair of mutually optimal mixed strategies) was obtained from the game-theoretic problem by reducing it to a linear programming problem and the two-phase simplex method was adopted to solve this problem. The optimal solution to the game indicates that the kicker never chooses to kick the ball off target, to the goalpost or to the crossbar, but rather chooses to kick the ball in the opposite direction to the one where the goalkeeper is most likely to successfully defend from past history.

2

Inspecting debt servicing mechanism in Nigeria using ARMAX model of the Koyck-kind

63%

EKHOSUEHI V. U., OMOREGIE D. E.

Operations Research and Decisions

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2021

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vol. 31

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issue 1

5-20

EN

The burden of external debt affects the wellbeing of an economy (or a country) by making the economy vulnerable to external shocks and crowding out investment. When dealing with debt management in indebted poor countries like Nigeria, the rational approach is to allocate a portion of export earnings for debt service payments. Along this line, there is a need to identify the link between debt servicing and export earnings. Hence, the current and long-run effects of export earnings on debt service payments are modelled as a single-input-single-output discrete-time dynamical system within the framework of the Autoregressive moving average explanatory input model of the Koyck kind (KARMAX). The KARMAX model is identified for Nigeria using data from the World Bank database from 1970 to 2018 based on the maximum likelihood (ML) method, and the obtained results are compared to the prediction error and the instrumental variable methods. From a theoretical perspective, the KARMAX specification identified by the ML method is more ideal and inspiring. By doing so, this article contributes to the literature on the econometrics of public debt management.

3

Financing university education in Nigeria. A proposal for infrastructure replenishment in universities

51%

EKHOSUEHI V. U., IGUODALA W. A., OSAGIEDE A. A.

Operations Research and Decisions

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2016

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vol. 26

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issue 4

33-47

EN

The subject of replenishment of infrastructure in Nigerian public universities has been of great concern to stakeholders in the educational system. How to obtain an appropriate replenishment plan that would give the desired infrastructure for a university after a certain period of time is a long-standing problem. We attempt to find a solution to this problem from an engineering perspective based on optimal control theory. The revenue generated through the payment of school fees and the costs of investment in infrastructure are used to construct the objective function. The state variables are the amount budgeted for such an investment and the stock of infrastructure, while the rate of replenishment is used as the control variable. The problem is solved by utilising Pontryagin’s principle. The dynamics of the replenishment plan is illustrated with an example. The results show that there should be a steady increase in the amount budgeted, in order to attain the desired infrastructure.

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3 Operations Research and Decisions

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3 EKHOSUEHI V. U.

1 IGUODALA W. A.

1 OMOREGIE D. E.

1 OSAGIEDE A. A.

On the one-shot two-person zero-sum game in football from a penalty kicker’s perspective

Inspecting debt servicing mechanism in Nigeria using ARMAX model of the Koyck-kind

Financing university education in Nigeria. A proposal for infrastructure replenishment in universities