Mixed strategy game theory, application in forest industry

2010 ◽  
Vol 12 (7) ◽  
pp. 527-531 ◽  
Author(s):  
Soleiman Mohammadi Limaei
2021 ◽  
Vol 11 (1) ◽  
Author(s):  
Shion Maeda ◽  
Nicolas Chauvet ◽  
Hayato Saigo ◽  
Hirokazu Hori ◽  
Guillaume Bachelier ◽  
...  

AbstractCollective decision making is important for maximizing total benefits while preserving equality among individuals in the competitive multi-armed bandit (CMAB) problem, wherein multiple players try to gain higher rewards from multiple slot machines. The CMAB problem represents an essential aspect of applications such as resource management in social infrastructure. In a previous study, we theoretically and experimentally demonstrated that entangled photons can physically resolve the difficulty of the CMAB problem. This decision-making strategy completely avoids decision conflicts while ensuring equality. However, decision conflicts can sometimes be beneficial if they yield greater rewards than non-conflicting decisions, indicating that greedy actions may provide positive effects depending on the given environment. In this study, we demonstrate a mixed strategy of entangled- and correlated-photon-based decision-making so that total rewards can be enhanced when compared to the entangled-photon-only decision strategy. We show that an optimal mixture of entangled- and correlated-photon-based strategies exists depending on the dynamics of the reward environment as well as the difficulty of the given problem. This study paves the way for utilizing both quantum and classical aspects of photons in a mixed manner for decision making and provides yet another example of the supremacy of mixed strategies known in game theory, especially in evolutionary game theory.


2015 ◽  
Vol 4 ◽  
pp. 271-281 ◽  
Author(s):  
Marianthi V. Podimata ◽  
Panayotis C. Yannopoulos

2016 ◽  
Vol 52 (1) ◽  
pp. 59-76
Author(s):  
Paweł Pisany

Abstract This article presents and assesses the methodology and results of a comparative analysis conducted by Bruno Amable in financial systems and corporate governance in the context of current policy and regulatory challenges. The article, which is based on a literature review and game theory examples, first describes and evaluates the methodology and final classification given by Amable. The role of Amable’s core concept; namely, institutional complementarity, is underlined. A game theory application in comparative institutional studies is then presented, including the author’s own “institutional game.” Finally, we assess Amable’s achievements in financial systems and corporate governance, concluding that they are valuable, innovative and useful despite some (perhaps justified) criticisms of the framework Amable used. In particular, the value of introducing institutional complementarity into comparative studies should not be underestimated. The analysis presented here suggests that Amable’s methodology may also be applicable when designing current financial reforms in the EU, especially European Capital Markets Union (CMU), because it can broaden policy maker’s horizons and promote consistent solutions.


2004 ◽  
Vol 7 (4) ◽  
pp. 404-410 ◽  
Author(s):  
Dominic J Barraclough ◽  
Michelle L Conroy ◽  
Daeyeol Lee

2007 ◽  
Vol 03 (02) ◽  
pp. 259-269 ◽  
Author(s):  
AREEG ABDALLA ◽  
JAMES BUCKLEY

In this paper, we consider a two-person zero-sum game with fuzzy payoffs and fuzzy mixed strategies for both players. We define the fuzzy value of the game for both players [Formula: see text] and also define an optimal fuzzy mixed strategy for both players. We then employ our fuzzy Monte Carlo method to produce approximate solutions, to an example fuzzy game, for the fuzzy values [Formula: see text] for Player I and [Formula: see text] for Player II; and also approximate solutions for the optimal fuzzy mixed strategies for both players. We then look at [Formula: see text] and [Formula: see text] to see if there is a Minimax theorem [Formula: see text] for this fuzzy game.


2019 ◽  
Vol 17 (1) ◽  
pp. 370-379
Author(s):  
Oksana Korolovych ◽  
Olha Chabaniuk ◽  
Natalia Ostapiuk ◽  
Yurii Kotviakovskyi ◽  
Nelia Gut

The conditions for doing business at this stage are often similar in a game in which you need to calculate your actions a few steps ahead. At the same time, it is important to highlight several possible current options and make the necessary decision at the control moment. Moreover, each of the options formed should be justified, understandable and take into account the risk factors and available resources.Today, the main problem of assessing and minimizing the risk of “unfriendly takeover” is due to the fact that in most cases the raider is a player who acts quite legitimately and relies on the loopholes of the current legislative framework. Therefore, it is easier to identify possible actions of the raider and to avoid them within the limits of the reverse game than to deal with the consequences.The purpose of the research is to study the specificity of the individualized assessment and minimization of the risk of “unfriendly takeover” by using elements of game theory.It has been taken into account that the effect of individualization in assessing the risk of unfriendly takeover of enterprises can possibly be achieved on the basis of the application of game theory, the elements of which provide simulation of the unfriendly takeover process within the mathematical description of the inherent combinations of attack/defence as if they actually occurred in time both within one state of the external environment and for their given set.The results allowed forming mathematical decision-making models based on the elements of the antagonistic game “raider-target enterprise” and “raider games with the external environment”, which proved the possibility to: 1) identify possible functions of wins/losses; 2) combinations of attacks that can be neglected (that is, from the point of view of the rationality of decisions, will be rejected by the raider); 3) the ranking of the raider’s “attack combinations” for the reliability of their use during “unfriendly takeover”. Under such conditions, the target company can provide not only a detailed assessment, but also an effective minimization of the risk of “unfriendly takeover” and allocate the best combination of protection.


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