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A regularization method for bilevel problems with lower level defined by Nash equilibria is considered and a concept of \viscosity solution" associated to such a regularization is introduced. Sufficient conditions for the existence of viscosity solutions are given and applications to optimistic...
Persistent link: https://www.econbiz.de/10011098709
The great interest into hierarchical optimization problems and the increasing use of game theory in many economic or engineering applications led to investigate optimization problems with constraints described by the solutions to a quasi-variational inequality (variational problems having...
Persistent link: https://www.econbiz.de/10011082499
We consider a two-stage model where a leader, according to its risk-averse proneness, solves a MinSup problem with constraints corresponding to the reaction sets of a follower and defined by the solutions of a quasi-variational inequality (i.e. a variational inequality having constraint sets...
Persistent link: https://www.econbiz.de/10010944758
We consider quasi-variational problems (variational problems having constraint sets depending on their own solutions) which appear in concrete economic models such as social and economic networks, financial derivative models, transportation network congestion and traffic equilibrium. First,...
Persistent link: https://www.econbiz.de/10008765691
Persistent link: https://www.econbiz.de/10013205588
In this paper, we look at the classical problem of aggregating individual utilities and study social orderings which are based on the concept of Ordered Weighted Averaging (OWA) Aggregating Operator. In these social orderings, called OWA social welfare functions (swf), weights are assigned a...
Persistent link: https://www.econbiz.de/10011082505
Multicriteria games describe strategic interactions in which players, having more than one criterion to take into account, don't have an a-priori opinion on the rel- ative importance of all these criteria. Roemer (2005) introduces an organizational interpretation of the concept of equilibrium:...
Persistent link: https://www.econbiz.de/10005078719
Given their importance in determining the outcome of many economic interactions, different models have been proposed to determine how social networks form and which structures are stable. In Bala and Goyal (2000), the one-sided link formation model has been considered, which is based on a...
Persistent link: https://www.econbiz.de/10005802072
The famous Harsanyi's (1973) Theorem states that generically a finite game has an odd number of Nash equilibria in mixed strategies. In this paper, we show that for finite multicriteria games (games with vector-valued payoffs) this kind of result does not hold. In particular, we show, by...
Persistent link: https://www.econbiz.de/10008550101
We present optimality conditions for bilevel optimal control problems where the upper level, to be solved by a leader, is a scalar optimal control problem and the lower level, to be solved by several followers, is a multiobjective convex optimal control problem. Multiobjective optimal control...
Persistent link: https://www.econbiz.de/10009645483