fi(x) < 0, i = 1, . . . ,m, hi(x) = 0, i = 1, . . . , p i.e., all inequality constraints are inactive. • A problem is feasible if there exists x ∈ C; infeasible if C = ∅; and strictly feasible if there is a strictly feasible point. • A problem is unconstrained if C = R. • The quantity p = inf{f0(x) | x ∈ C} is called the optimal value (of the associated problem). We use p = +∞ to represent the ...

With the advent of prosumers, traditional centralized operation may become impracticable due to computational burden, privacy concerns, and conflicting interests. In this article, an energy sharing mechanism is proposed accommodate prosumers' strategic decision-making on their self-production demand in presence capacity constraints. Under setting, prosumers play a generalized Nash game. We prov...

The development of Advanced Traveler Information Systems (ATIS) with en-route navigation systems has opened the door to new traffic regulation policies such as collective route guidance based on social costs, i.e. routes that minimize total travel time. However, a critical element for their efficiency is compliance travelers recommendations. It well established optimum different from user equil...

We study financial fragility, exchange rate crises, and monetary policy in an open economy version of a Diamond-Dybvig model. The banking system, the exchange rate regime, and central bank credit policy are seen as parts of a mechanism intended to maximize social welfare; if the mechanism fails, banking crises and speculative attacks become possible. We compare currency boards, fixed rates, and...

The multi-agent resource allocation problem corresponds to the negotiation of m resources among n autonomous agents in order to maximize a social welfare. Contrary to some former studies, the purpose is neither here to simply determine a socially optimal resource allocation nor to prove the existence of a transaction sequence leading to this optimum, but to find a practical transaction sequence...

Cloud computing is an emerging technology that allows to access computing resources on a pay-per-use basis. The main challenges in this area are the efficient performance management and the energy costs minimization. In this paper we model the service provisioning problem of Cloud Platform-as-aService systems as a Generalized Nash Equilibrium Problem and show that a potential function for the g...

Individuals' free choices in vaccination do not guarantee social optimum since individuals' decision is based on imperfect information, and vaccination decision involves positive externality. Public policy of compulsory vaccination or subsidised vaccination aims to increase aggregate private demand closer to social optimum. However, there is controversy over the effectiveness of public interven...