5,774 research outputs found
Algebraic methods for control system analysis and design Final report, Apr. 1967 - Apr. 1969
Algebraic methods for analysis and design of control system
Defense mechanisms of empathetic players in the spatial ultimatum game
Experiments on the ultimatum game have revealed that humans are remarkably
fond of fair play. When asked to share an amount of money, unfair offers are
rare and their acceptance rate small. While empathy and spatiality may lead to
the evolution of fairness, thus far considered continuous strategies have
precluded the observation of solutions that would be driven by pattern
formation. Here we introduce a spatial ultimatum game with discrete strategies,
and we show that this simple alteration opens the gate to fascinatingly rich
dynamical behavior. Besides mixed stationary states, we report the occurrence
of traveling waves and cyclic dominance, where one strategy in the cycle can be
an alliance of two strategies. The highly webbed phase diagram, entailing
continuous and discontinuous phase transitions, reveals hidden complexity in
the pursuit of human fair play.Comment: 4 two-column pages, 5 figures; accepted for publication in Physical
Review Letter
Algebraic methods for dynamic systems
Algebraic methods for application to dynamic control system
The cost of anchoring on credit-card minimum repayments
About three quarters of credit card accounts attract interest charges. In the US, credit card debt is 2,539.7 billion of consumer credit. In the UK, credit card debt is £55.1 billion of £174.4 billion of consumer credit. The 2005 US Bankruptcy Abuse Prevention and Consumer Protection Act and the 2003 UK Treasury Select Committee's report require lenders to collect a minimum payment of at least the interest accrued each month. Thus people are protected from the effects of compounding interest. But including minimum payment information has an unintended negative effect, because minimum payments act as psychological anchors
Generalized Arcsine Law and Stable Law in an Infinite Measure Dynamical System
Limit theorems for the time average of some observation functions in an
infinite measure dynamical system are studied. It is known that intermittent
phenomena, such as the Rayleigh-Benard convection and Belousov-Zhabotinsky
reaction, are described by infinite measure dynamical systems.We show that the
time average of the observation function which is not the function,
whose average with respect to the invariant measure is finite, converges to
the generalized arcsine distribution. This result leads to the novel view that
the correlation function is intrinsically random and does not decay. Moreover,
it is also numerically shown that the time average of the observation function
converges to the stable distribution when the observation function has the
infinite mean.Comment: 8 pages, 8 figure
Steady-state decoupling and design of linear multivariable systems
A constructive criterion for decoupling the steady states of a linear time-invariant multivariable system is presented. This criterion consists of a set of inequalities which, when satisfied, will cause the steady states of a system to be decoupled. Stability analysis and a new design technique for such systems are given. A new and simple connection between single-loop and multivariable cases is found. These results are then applied to the compensation design for NASA STOL C-8A aircraft. Both steady-state decoupling and stability are justified through computer simulations
Reference Distorted Prices
I show that when consumers (mis)perceive prices relative to reference prices,
budgets turn out to be soft, prices tend to be lower and the average quality of
goods sold decreases. These observations provide explanations for decentralized
purchase decisions, for people being happy with a purchase even when they have
paid their evaluation, and for why trade might affect high quality local firms
'unfairly'
‘Better off, as judged by themselves’:A reply to Cass Sunstein
This paper is a reply to Sunstein’s comment on my paper ‘Do people really want to be nudged towards healthy lifestyles?’ The central claim of that paper was that, in their book Nudge, Thaler and Sunstein switch between two different interpretations of the ‘better off, as judged by themselves’ criterion, and that consistent use of one or other interpretation would have blunted the persuasive power of the book. In this reply, I defend that claim against Sunstein’s counter-arguments
After the Standard Model: New Resonances at the LHC
Experiments will soon start taking data at CERN's Large Hadron Collider (LHC)
with high expectations for discovery of new physics phenomena. Indeed, the
LHC's unprecedented center-of-mass energy will allow the experiments to probe
an energy regime where the standard model is known to break down. In this
article, the experiments' capability to observe new resonances in various
channels is reviewed.Comment: Preprint version of a Brief Review for Modern Physics Letters A.
Changes w.r.t. the fully corrected version are smal
- …