19 research outputs found
The role of city geometry in determining the utility of a small urban light rail/tram system
In this work, we show the importance of considering a city's shape, as much
as its population density figures, in urban transport planning. We consider in
particular cities that are circular (the most common shape) compared to those
that are rectangular: For the latter case we show greater utility for a single
line light rail/tram system. We introduce the new concepts of Infeasible
Regions and Infeasibility Factors, and show how to calculate them numerically
and (in some cases) analytically. A particular case study is presented for
Galway City.Comment: 22 pages. This version has more details on exact calculation of
Infeasibility Factors. Accepted for publication in the Springer Journal
"Public Transport
Quantum walks with memory on cycles
We study the model of quantum walks on cycles enriched by the addition of
1-step memory. We provide a formula for the probability distribution and the
time-averaged limiting probability distribution of the introduced quantum walk.
Using the obtained results, we discuss the properties of the introduced model
and the difference in comparison to the memoryless model.Comment: 6 pages, 2 figures, published versio
Quantum walks on two kinds of two-dimensional models
In this paper, we numerically study quantum walks on two kinds of
two-dimensional graphs: cylindrical strip and Mobius strip. The two kinds of
graphs are typical two-dimensional topological graph. We study the crossing
property of quantum walks on these two models. Also, we study its dependence on
the initial state, size of the model. At the same time, we compare the quantum
walk and classical walk on these two models to discuss the difference of
quantum walk and classical walk
How Quantum Information can improve Social Welfare
It has been shown elsewhere that quantum resources can allow us to achieve a
family of equilibria that can have sometimes a better social welfare, while
guaranteeing privacy. We use graph games to propose a way to build
non-cooperative games from graph states, and we show how to achieve an
unlimited improvement with quantum advice compared to classical advice
Physica A Quantum walks with memory on cycles
h i g h l i g h t s • Model of quantum walks with memory on a cyclic graph. • Analysis of limiting probability distribution. • Comparison of the models with the memoryless case. a r t i c l e i n f o b s t r a c t We study the model of quantum walks on cycles enriched by the addition of 1-step memory. We provide a formula for the probability distribution and the time-averaged limiting probability distribution of the introduced quantum walk. Using the obtained results, we discuss the properties of the introduced model and the difference in comparison to the memoryless model
Nash Equilibria in certain two-choice multi-player games played on the ladder graph
In this paper, we compute analytically the number of Nash Equilibria (NE) for a two-choice game played on a (circular) ladder graph with 2n players. We consider a set of games with generic payoff parameters, with the only requirement that a NE occurs if the players choose opposite strategies (anti-coordination game). The results show that for both, the ladder and circular ladder, the number of NE grows exponentially with (half) the number of players n, as NNE(2n)∼C(φ)n, where φ=1.618.. is the golden ratio and Ccirc>Cladder. In addition, the value of the scaling factor Cladder depends on the value of the payoff parameters. However, that is no longer true for the circular ladder (3-degree graph), that is, Ccirc is constant, which might suggest that the topology of the graph indeed plays an important role for setting the number of NE.2022-01-1
Nash Equilibria in certain two-choice multi-player games played on the ladder graph
In this article we compute analytically the number of Nash Equilibria (NE)
for a two-choice game played on a (circular) ladder graph with players. We
consider a set of games with generic payoff parameters, with the only
requirement that a NE occurs if the players choose opposite strategies
(anti-coordination game). The results show that for both, the ladder and
circular ladder, the number of NE grows exponentially with (half) the number of
players , as , where is the
golden ratio and . In addition, the value of the scaling
factor depends on the value of the payoff parameters. However,
that is no longer true for the circular ladder (3-degree graph), that is
is constant, which might suggest that the topology of the graph
indeed plays an important role for setting the number of NE.Comment: 15 pages, 7 figures. Paper online ready in journal International Game
Theory Revie