EDERLINA G. NOCON, PhD

My research involves the formulation of game models and the analyses of these using various approaches.

Dr. Ederlina Ganatuin-Nocon is a faculty of the Department of Mathematics and Statistics under the College of Science. She took her bachelor degree (BS Mathematics for Teachers) at the Philippine Normal University as a DOST-SEI scholar. She then pursued a masteral degree (Master of Science in Teaching Mathematics) at De La Salle University (DLSU). She continued her graduate studies and earned Doctor of Philosophy (PhD) major in Mathematics also from DLSU with her dissertation writing supported by DOST Overseas Sandwich Program in partnership with Kyushu University in Japan. She was granted a Japan Society for the Promotion of Science (JSPS) Ronpaku Fellowship that allowed her to do post-doctoral studies abroad and even earn her a second PhD degree from Kyushu University. Dr. Nocon’s research works involved topics under the fields of coding theory and game theory. Her current works focus on mathematical models that involve the use evolutionary games and the application of chemical reaction theory in analyzing these games. Such models have promising potential in analyzing not only problems in evolutionary biology but also in tackling scenarios that encompass social, political, and economic situations.

Full Professor

PhD in Mathematics

Game Theory, Coding Theory, Cryptography, Chemical Reaction Network Theory

Replicator Analysis of Unblocked Pyramid Game, Manila Journal of Science, Volume 13, 2020,
pp120-142 (Co-authored with K. Nocum).
Riemann Hypothesis Analogue for the Invariant Ring C [x,y]Dn Notes on C[x,y] D8p, Manila
Journal of Science, Volume 13, 2020, pp53-73.
A Computational Approach to Multistationarity in Poly-PL Kinetic
Systems, MATCH Communications in Mathematical and in Computer Chemistry, Volume 85 (2021)
No. 3, pages 605-634. (Co-authored with D. Magpantay, B. Hernandez, A. delos Reyes, and E.
Mendoza).
Craciun’s E-MAK Method: A Dynamics-focused Approach to Poly-PL Kinetics, Manila
Journal of Science, Volume 13, 2020, pp1-21 (Co-authored with D. Magpantay, and E. Mendoza).
Stability of Pyramiding Game, DLSU Research Congress 2020 Proceedings, June 2020 (Co-
authored K. Nocum).
Revisiting Inspection Game and Inspector Leadership Through Reaction Networks, Naval
Research Logistics, DOI: 10.1002/nav.21912, (Co-authored with T. Ang).
https://onlinelibrary.wiley.com/doi/
abs/10.1002/nav.21912
Complex Balanced Equilibria of Weakly Reversible Poly-PL Kinetic Systems and
Evolutionary Games, MATCH Communications in Mathematical and in Computer Chemistry,
Volume 83 (2020) No. 2, pages 375-402. (Co-authored with D. Talabis, D. Magpantay, E. Mendoza,
and E. Jose). http://match.pmf.kg.ac.rs/electronic_versions/Match83/
n2/match83n2_375-402.pdf
Attrition on Success Probability Models, Manila Journal of Science, Volume 12, 2019 (Co-
authored with A. Wee).
Sponsored Games and Allocations, Manila Journal of Science, Volume 12, 2019 (Co-authored
with K. Nocum).
Reaction Networks on Inspection Games, DLSU Research Congress 2018 Proceedings, June
2018 (Co-authored T. Ang).
A CRNT Approach to the Hawk and Dove Game, DLSU Research Congress 2018 Proceedings,
June 2018 (Co-authored M. Garcia, I. Jos, and Y. Lim).
Sponsored Games with Fuzzy Coalitions, Manila Journal of Science, Volume 10, 2017 (Co-
authored with R. Victoria, Jr.).
On the Construction of Some LCD Codes over Finite Fields, Manila Journal of Science,
Volume 9, 2016 (Co-authored with E. Lina).
Cryptanalysis of Shamir’s Secret Sharing Scheme Under Two Cases of Implementation,
DLSU Research Congress Proceedings, March 2016 (Co-authored with D. G. Tieng).
Success Probability of an n-Step Process with n Independent Step Probabilities, Manila
Journal of Science, Volume 9, 2016 (Co-authored with A. P. Wee).
Allocations in Sponsored Games, DLSU Research Congress Proceedings, March 2015.
On Bisupermodular Games , DLSU Research Congress Proceedings, March 2015.
On Some Solution Concepts and Star Coalitions of Bicooperative Games, DLSU Research
Congress Proceedings, March 2015.
Two Option Strategies of Team Players in Sponsored Games, , DLSU Research Congress
Proceedings, March 2014.
Cooperation Induced by Sponsors, DLSU Research Congress Proceedings, March 2013.
From Solutions of Games to Codes, DLSU Science and Technology Congress Proceedings (2012).
Binary Codes – A game theoretic view, DLS – Osaka Research Workshop Proceedings, Vol 15
(ISBN 971-555-512-8), September 2010.
Fuzzy Coalitions with Constrained Participation, DLS – Osaka Research Workshop
Proceedings, Vol 13 (ISBN 971-555-512-8), September 2009.
Zeta Polynomials of type IV codes over rings of order 4, Kyushu Journal of Mathematics,
Volume 63, No. 2, 2009.
On Zeta Polynomials Obtained from the Invariant Ring C[x, y]
Dn, DLS – Osaka Research Workshop Proceedings, Vol. 9 (ISBN 971-555-512-8), September 2008.
Zeta Polynomials and the Riemann Hypothesis Analogue for Type IV codes over Z4, DLS –
Osaka Research Workshop Proceedings, Vol. 8 (ISBN 971-555-512-8), September 2007.
On Distances of Self-dual Codes and Type II Codes over Z2 × Z2, Journal of Research in
Science, Computing and Engineering, Vol. 3, No. 2, August 2006.
Investigating a Riemann Hypothesis Analogue for the Invariant Ring C[x, y]Dn, DLS –
Osaka Research Workshop Proceedings, Vol. 7 (ISBN 971-555-512-8), September 2006.
On Defining Distance and Weight Functions of Codes over Z2 × Z2, DLS – Osaka Research
Workshop Proceedings, Vol. 5 (ISBN 971-555-512-8), September 2005.
On Some Cyclic Codes over a Ring of Characteristic 4, Journal of Research in Science,
Computing and Engineering, Vol. 2, No. 2, May 2005, 22-31.
On The Construction of Some Type II Codes over Z4 × Z4, , Designs, Codes, and
Cryptography, 30 (3), November 2003, 301-323.
The Duality Maps of Codes over Z2 × Z2, and Self-duality of Codes over Z2 × Z2,, Journal of
Research in Science and Engineering, Vol. 1, No. 1, October 2003, 37-41.
Constructing Self-Dual Codes over Z2 × Z2,, Matimyas Matematika, Vol. 24, No. 1, January
2001, 28-36.