scholarly journals Quality and Price Personalization under Customer Recognition: a Dynamic Monopoly Model

Author(s):  
Didier Laussel ◽  
Ngo Van Long ◽  
Joana Resende
Keyword(s):  

1992 ◽  
Vol 65 (4) ◽  
pp. 593 ◽  
Author(s):  
Yu-Min Chen ◽  
Dipak C. Jain


2021 ◽  
Vol 76 (3) ◽  
Author(s):  
Yilun Shang

AbstractIn this note, we study discrete time majority dynamics over an inhomogeneous random graph G obtained by including each edge e in the complete graph $$K_n$$ K n independently with probability $$p_n(e)$$ p n ( e ) . Each vertex is independently assigned an initial state $$+1$$ + 1 (with probability $$p_+$$ p + ) or $$-1$$ - 1 (with probability $$1-p_+$$ 1 - p + ), updated at each time step following the majority of its neighbors’ states. Under some regularity and density conditions of the edge probability sequence, if $$p_+$$ p + is smaller than a threshold, then G will display a unanimous state $$-1$$ - 1 asymptotically almost surely, meaning that the probability of reaching consensus tends to one as $$n\rightarrow \infty $$ n → ∞ . The consensus reaching process has a clear difference in terms of the initial state assignment probability: In a dense random graph $$p_+$$ p + can be near a half, while in a sparse random graph $$p_+$$ p + has to be vanishing. The size of a dynamic monopoly in G is also discussed.



2014 ◽  
Vol 124 (1) ◽  
pp. 1-8 ◽  
Author(s):  
Kaito Hashimoto ◽  
Nobuo Matsubayashi


2006 ◽  
Vol 37 (4) ◽  
pp. 910-928 ◽  
Author(s):  
Subir Bose ◽  
Gerhard Orosel ◽  
Marco Ottaviani ◽  
Lise Vesterlund


1975 ◽  
Vol 35 (1-2) ◽  
pp. 77-88
Author(s):  
Russell G. Thompson ◽  
E. Odgers Olsen


2015 ◽  
Vol 108 ◽  
pp. 99-118 ◽  
Author(s):  
Akio Matsumoto ◽  
Ferenc Szidarovszky


2021 ◽  
Author(s):  
Didier Laussel ◽  
Joana Resende ◽  
Ngo Van Long
Keyword(s):  


2017 ◽  
Author(s):  
Changhyun Kwak ◽  
Jihong Lee
Keyword(s):  


1986 ◽  
Vol 39 (1) ◽  
pp. 155-190 ◽  
Author(s):  
Faruk Gul ◽  
Hugo Sonnenschein ◽  
Robert Wilson


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