NDLI: Timed strategic games A new game theory for managing strategic plans in the time dimension

Content Provider	IEEE Xplore Digital Library
Author	Sarcia', S.A.
Copyright Year	2013
Description	Author affiliation: Indep. Res. Div., OnESE.org Forum, Italy (Sarcia', S.A.)
Abstract	Background: Over the last 60+ years a number of wars of different kinds has been taken place worldwide. Scholars refer to the latest ones as $4^{th}$ Generation wars (or warfare) where the confrontation is no longer between state actors, but between non-state actors (mainly guerrilla/insurgents) and state actors. Aims: Since the old strategic game theory (e.g. Prisoner's Dilemma) is not able to explain $4^{th}$ Generation wars because of asymmetry and the lack of a timed framework, we define a variation of this theory that we call Timed Strategic Game with the aim of bringing up the discussion on what it is really needed to plan and manage military campaigns such as Afghanistan, Iraq, Libya, Somalia, Lebanon, Israel-Palestine, and etc. Method: The theory being defined deals with asymmetry and includes a temporal dimension. Our definition is completely new. We did not use an automaton approach as usually done in game theory. We considered a continuous parametric function varying based upon the variable time. The use of the variable time in strategic games is the main novelty of this work. Results: Based upon the definition of “Timed Strategic Game”, we put forward the definition of “Timed Prisoner's Dilemma” and another one that we called IN-OUT game, which was set up specifically to model the main features of $4^{th}$ Generation wars. Furthermore, the contribution of this work is also with the definition of Stable and Unstable Timed Nash Equilibria, which are the extension of “Nash Equilibria” to Timed Strategic Games. Conclusions: In this research we show a way of modeling asymmetric strategic games over time. Even though the suitability of the application of this new theory has to be tried out in practical terms, it is the first step to have a theoretical framework where strategic games can finally be categorized in terms of time. Additional contributions are that the proposed model is general purpose regardless of $4^{th}$ Generation wars; we observed that Timed Strategic Games could also help model value-based management, earned value analysis, and share-market dynamics.
Starting Page	187
Ending Page	194
File Size	916471
Page Count	8
File Format	PDF
ISBN	9781467324373
e-ISBN	9781467324373
DOI	10.1109/CogSIMA.2013.6523846
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2013-02-25
Publisher Place	USA
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Nash equilibrium Timed Nash equilibrium Game theory Equations $4^{th}$ Generation wars Analytical models Automata Stable Nash equilibrium Games Unstable Nash equilibrium Asymmetric games Asymmetric war Mathematical model
Content Type	Text
Resource Type	Article

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1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
2	Indian Institute of Technology Kharagpur	Host Institute of the Project: The host institute of the project is responsible for providing infrastructure support and hosting the project	https://www.iitkgp.ac.in
3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
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