• Article  

      The complexity of equilibria for risk-modeling valuations 

      Mavronicolas, Marios; Monien, Burkhard (2016)
      Following the direction pioneered by Fiat and Papadimitriou in their 2010 paper [12], we study the complexity of deciding the existence of mixed equilibria for minimization games where players use valuations other than ...
    • Article  

      The complexity of pure equilibria in mix-weighted congestion games on parallel links 

      Mavronicolas, Marios; Monien, Burkhard (2015)
      We revisit the simple class of weighted congestion games on parallel links [10], where each player has a non-negative weight and her cost on the link she chooses is the sum of the weights of all players choosing the link. ...
    • Article  

      Computing Nash equilibria for scheduling on restricted parallel links 

      Gairing, M.; Lücking, T.; Mavronicolas, Marios; Monien, Burkhard (2010)
      We consider the problem of routing nusers on m parallel links under the restriction that each user may only be routed on a link from a certain set of allowed links for the user. So, this problem is equivalent to the ...
    • Conference Object  

      Computing Nash equilibria for scheduling on restricted parallel links 

      Gairing, M.; Lücking, T.; Mavronicolas, Marios; Monien, Burkhard (2004)
      We consider the problem of routing n users on m parallel links, under the restriction that each user may only be routed on a link from a certain set of allowed links for the user. Thus, the problem is equivalent to the ...
    • Article  

      Conditional Value-at-Risk: Structure and complexity of equilibria 

      Mavronicolas, Marios; Monien, Burkhard (2020)
      Conditional Value-at-Risk, denoted as CVaRα, is becoming the prevailing measure of risk over two paramount economic domains: the insurance domain and the financial domain
    • Article  

      Conditional value-at-risk: Structure and complexity of equilibria 

      Mavronicolas, Marios; Monien, Burkhard (2017)
      Conditional Value-at-Risk, denoted as CVaRα, is becoming the prevailing measure of risk over two paramount economic domains: the insurance domain and the financial domain
    • Article  

      Congestion games with player-specific constants 

      Mavronicolas, Marios; Milchtaich, I.; Monien, Burkhard; Tiemann, K. (2007)
      We consider a special case of weighted congestion games with player-specific latency functions where each player uses for each particular resource a fixed (non-decreasing) delay function together with a player-specific ...
    • Article  

      Extreme Nash equilibria 

      Gairing, M.; Lucking, T.; Mavronicolas, Marios; Monien, Burkhard; Spirakis, Paul G. (2003)
      We study the combinatorial structure and computational complexity of extreme Nash equilibria, ones that maximize or minimize a certain objective function, in the context of a selfish routing game. Specifically, we assume ...
    • Article  

      How many attackers can selfish defenders catch? 

      Mavronicolas, Marios; Monien, Burkhard; Lesta, Vicky Papadopoulou (2013)
      In a distributed system with attacks and defenses, both attackers and defenders are self-interested entities. We assume a reward-sharing scheme among interdependent defenders
    • Conference Object  

      How many attackers can selfish defenders catch? 

      Mavronicolas, Marios; Monien, Burkhard; Lesta, Vicky Papadopoulou (2008)
      In a distributed system with attacks and defenses, an economic investment in defense mechanisms aims at increasing the degree of system protection against the attacks. We study such investments in the selfish setting, where ...
    • Article  

      Minimizing Expectation Plus Variance 

      Mavronicolas, Marios; Monien, Burkhard (2015)
      We consider strategic games in which each player seeks a mixed strategy to minimize her cost evaluated by a concave valuationV (mapping probability distributions to reals)
    • Article  

      Minimizing expectation plus variance 

      Mavronicolas, Marios; Monien, Burkhard (2012)
      We consider strategic games in which each player seeks a mixed strategy to minimize her cost evaluated by a concave valuation V (mapping probability distributions to reals)
    • Article  

      Nash equilibria for voronoi games on transitive graphs 

      Feldmann, R.; Mavronicolas, Marios; Monien, Burkhard (2009)
      In a Voronoi game, each of κ≥2 players chooses a vertex in a graph G=〈V(G), E(G)〉. The utility of a player measures her Voronoi cell: the set of vertices that are closest to her chosen vertex than to that of another player. ...
    • Article  

      Nash equilibria in discrete routing games with convex latency functions 

      Gairing, M.; Lücking, T.; Mavronicolas, Marios; Monien, Burkhard; Rode, M. (2004)
      We study Nash equilibria in a discrete routing game that combines features of the two most famous models for non-cooperative routing, the KP model [16] and the Wardrop model [27]. In our model, users share parallel links. ...
    • Article  

      Nash equilibria in discrete routing games with convex latency functions 

      Gairing, M.; Lücking, T.; Mavronicolas, Marios; Monien, Burkhard; Rode, M. (2008)
      In a discrete routing game, each of n selfish users employs a mixed strategy to ship her (unsplittable) traffic over m parallel links. The (expected) latency on a link is determined by an arbitrary non-decreasing, non-constant ...
    • Article  

      A new model for selfish routing 

      Lücking, T.; Mavronicolas, Marios; Monien, Burkhard; Rode, M. (2008)
      In this work, we introduce and study a new, potentially rich model for selfish routing over non-cooperative networks, as an interesting hybridization of the two prevailing such models, namely the KPmodel [E. Koutsoupias, ...
    • Article  

      A new model for selfish routing 

      Lücking, T.; Mavronicolas, Marios; Monien, Burkhard; Rode, M. (2004)
      In this work, we introduce and study a new model for selfish routing over non-cooperative networks that combines features from the two such best studied models, namely the KP model and the Wardrop model in an interesting ...
    • Book Chapter  

      NP-hardness of equilibria in case of risk-averse players 

      Mavronicolas, Marios; Monien, Burkhard (Springer International Publishing, 2018)
      We study the complexity of deciding the existence of mixed equilibria for minimization games where players use valuations other than expectation to evaluate their costs. We consider risk-averse players seeking to minimize ...
    • Article  

      The price of anarchy for polynomial social cost 

      Gairing, M.; Lücking, T.; Mavronicolas, Marios; Monien, Burkhard (2006)
      In this work, we consider an interesting variant of the well studied KP model for selfish routing on parallel links, which reflects some influence from the much older Wardrop model [J.G. Wardrop, Some theoretical aspects ...
    • Article  

      The price of anarchy for polynomial social cost 

      Gairing, M.; Lücking, T.; Mavronicolas, Marios; Monien, Burkhard (2004)
      In this work, we consider an interesting variant of the well-studied KP model [18] for selfish routing that reflects some influence from the much older Wardrop model [31]. In the new model, user traffics are still unsplittable, ...