scholarly journals Differential Evolution Based Bi-Level Programming Algorithm for Computing Normalized Nash Equilibrium

2011 ◽  
pp. 97-106 ◽  
Author(s):  
Andrew Koh
Keyword(s):  
Nash Equilibrium ◽  
Differential Evolution ◽  
Programming Algorithm ◽  
Normalized Nash Equilibrium

scholarly journals Gamification Based Blockchain Tournaments Between Miners

2021 ◽  
Vol 3 (1) ◽  
pp. 91-114
Author(s):  
Hiroshi Kenta ◽  
Yamato Shino ◽  
Dewi Immaniar ◽  
Eka Purnama Harahap ◽  
Alfian Dimas Ahsanul Rizki Ahmad
Keyword(s):  
Nash Equilibrium ◽  
Cooperative Game ◽  
Traffic Congestion ◽  
Nash Equilibria ◽  
Allocation Of Resources ◽  
Complexity Level ◽  
System Models ◽  
Short Algorithm ◽  
Normalized Nash Equilibrium

We have modelled mining resource and cryptocurrency-related relationships into a non-cooperative game. Then we took advantage of the traffic congestion results, set a native convention for the Nash equilibria, and created a short algorithm to find the equilibria. Next, we will make calculations for several system models whose variations follow the existing mining resources and have appropriately allocated according to the details of the mining complexity level that has defeated. In the included resources, the game's result is the allocation of resources as a feature of a normalized Nash equilibrium. In the model that has proposed, we provide a property structure of the type of equilibrium that exists, such as a condition where there are two or more mining infrastructures that will be active and another state that explains that no Miners get results in wanting a specific cryptocurrency, like bitcoin.

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