scholarly journals Many-player games of optimal consumption and investment under relative performance criteria

2020 ◽  
Vol 14 (2) ◽  
pp. 263-281 ◽  
Author(s):  
Daniel Lacker ◽  
Agathe Soret
1982 ◽  
Vol 104 (2) ◽  
pp. 158-165 ◽  
Author(s):  
R. E. Reid

The problem of definition of propulsion loss related to ship steering is addressed. Performance criteria representative of propulsion losses due to steering over a range of operating conditions including operation in calm water and a seaway are considered. Criteria are derived from strict analytical considerations and from empirical assumptions based on experimentally derived hydrodynamic data. The applicability of these various criteria and the implications for both assessment of relative performance of existing ship autopilots and for the design of new steering controllers is discussed in relation to simulation results for a high-speed containership.


Stochastics ◽  
2013 ◽  
Vol 85 (4) ◽  
pp. 620-636 ◽  
Author(s):  
Marcus Christiansen ◽  
Mogens Steffensen

2009 ◽  
Vol 46 (1) ◽  
pp. 55-70 ◽  
Author(s):  
Jaime A. Londoño

We propose a new approach to utilities in (state) complete markets that is consistent with state-dependent utilities. Full solutions of the optimal consumption and portfolio problem are obtained in a very general setting which includes several functional forms for utilities used in the current literature, and consider general restrictions on allowable wealths. As a secondary result, we obtain a suitable representation for straightforward numerical computations of the optimal consumption and investment strategies. In our model, utilities reflect the level of consumption satisfaction of flows of cash in future times as they are (uniquely) valued by the market when the economic agents are making their consumption and investment decisions. The theoretical framework used for the model is the one proposed in Londoño (2008). We develop the martingale methodology for the solution of the problem of optimal consumption and investment in this setting.


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