generalized games
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2017 ◽  
Vol 03 (01) ◽  
pp. 1750006 ◽  
Author(s):  
Erhan Bayraktar ◽  
Alexander Munk

How do large-scale participants in parimutuel wagering events affect the house and ordinary bettors? A standard narrative suggests that they may temporarily benefit the former at the expense of the latter. To approach this problem, we begin by developing a model based on the theory of large generalized games. Constrained only by their budgets, a continuum of diffuse (ordinary) players and a single atomic (large-scale) player simultaneously wager to maximize their expected profits according to their individual beliefs. Our main theoretical result gives necessary and sufficient conditions for the existence and uniqueness of a pure-strategy Nash equilibrium. Using this framework, we analyze our question in concrete scenarios. First, we study a situation in which both predicted effects are observed. Neither is always observed in our remaining examples, suggesting the need for a more nuanced view of large-scale participants.



2017 ◽  
Author(s):  
Nicholas Butler


Filomat ◽  
2017 ◽  
Vol 31 (18) ◽  
pp. 5719-5726
Author(s):  
Nasrin Karamikabir ◽  
Farajollah Yaghoobi

In this paper, we prove a fixed point theorem for ?-acyclic factorizable multifunction. Some existence theorems of general best proximity pairs and equilibrium pairs are presented in modular function spaces. Moreover, some equilibrium theorems are established for free generalized n-person game.



Optimization ◽  
2016 ◽  
Vol 65 (12) ◽  
pp. 2135-2151 ◽  
Author(s):  
Monica Patriche


2016 ◽  
Vol 44 (4) ◽  
pp. 857-871
Author(s):  
Phan Quoc Khanh ◽  
Le Minh Luu ◽  
Tran Trinh Minh Son


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