Related Experiment Video
Updated: Jul 16, 2026
15:01
Peering into the Dynamics of Social Interactions: Measuring Play Fighting in Rats
Published on: January 18, 2013
New paradoxical games based on brownian ratchets
1Departamento Fisica Atomica, Molecular y Nuclear, Universidad Complutense de Madrid, 28040-Madrid, Spain.
Physical Review Letters
|December 2, 2000
Summary
Two losing games can paradoxically lead to winning when combined, a phenomenon previously limited by player capital. New history-dependent games expand this effect
Area of Science:
- Physics
- Game Theory
- Statistical Mechanics
Background:
- Brownian ratchets demonstrate counterintuitive phenomena where combined losing games can lead to a tendency to win.
- Previous research on this phenomenon was restricted by rules dependent on the player's current capital.
Purpose of the Study:
- To introduce novel game structures that circumvent capital-dependent rules.
- To expand the parameter space for the paradoxical winning tendency observed in Brownian ratchets.
Main Methods:
- Development of new game rules based solely on game history.
- Analysis of the expanded parameter space for the winning effect.
Main Results:
- Successfully designed games where rules are independent of player capital.
- Demonstrated a significant increase in the parameter space where the paradoxical winning tendency operates.
Conclusions:
- History-dependent game rules offer a new framework for exploring Brownian ratchet phenomena.
- This approach broadens the conditions under which combined losing games can result in a tendency to win.
Related Concept Videos
03:06The Pauli Exclusion Principle
The arrangement of electrons in the orbitals of an atom is called its electron configuration. We describe an electron configuration with a symbol that contains three pieces of information:
01:34Woodward–Hoffmann Selection Rules and Microscopic Reversibility
Electrocyclic reactions, cycloadditions, and sigmatropic rearrangements are concerted pericyclic reactions that proceed via a cyclic transition state. These reactions are stereospecific and regioselective. The stereochemistry of the products depends on the symmetry characteristics of the interacting orbitals and the reaction conditions. Accordingly, pericyclic reactions are classified as either symmetry-allowed or symmetry-forbidden. Woodward and Hoffmann presented the selection criteria for...
01:10First Law: Particles in One-dimensional Equilibrium
Newton's first law of motion states that a body at rest remains at rest, or if in motion, remains in motion at constant velocity, unless acted on by a net external force. It also states that there must be a cause for any change in velocity (a change in either magnitude or direction) to occur. This cause is a net external force. For example, consider what happens to an object sliding along a rough horizontal surface. The object quickly grinds to a halt, due to the net force of friction. If we...
01:18First Law: Particles in Two-dimensional Equilibrium
Recall that a particle in equilibrium is one for which the external forces are balanced. Static equilibrium involves objects at rest, and dynamic equilibrium involves objects in motion without acceleration; but it is important to remember that these conditions are relative. For instance, an object may be at rest when viewed from one frame of reference, but that same object would appear to be in motion when viewed by someone moving at a constant velocity.
Newton's first law tells us about the...
Newton's first law tells us about the...
01:21Rigid Body Equilibrium Problems - II
A rigid body is in static equilibrium when the net force and the net torque acting on the system are equal to zero.
Consider two children sitting on a seesaw, which has negligible mass. The first child has a mass (m1) of 26 kg and sits at point A, which is 1.6 meters (r1) from the pivot point B; the second child has a mass (m2) of 32 kg and sits at point C. How far from the pivot point B should the second child sit (r2) to balance the seesaw?
Consider two children sitting on a seesaw, which has negligible mass. The first child has a mass (m1) of 26 kg and sits at point A, which is 1.6 meters (r1) from the pivot point B; the second child has a mass (m2) of 32 kg and sits at point C. How far from the pivot point B should the second child sit (r2) to balance the seesaw?
01:24Sequence Networks of Rotating Machines
A Y-connected synchronous generator, grounded through a neutral impedance, is designed to produce balanced internal phase voltages with only positive-sequence components. The generator's sequence networks include a source voltage that is exclusively in the positive-sequence network. The sequence components of line-to-ground voltages at the generator terminals illustrate this configuration.
Zero-sequence current induces a voltage drop across the generator's neutral impedance and other...
Zero-sequence current induces a voltage drop across the generator's neutral impedance and other...