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School of Electrical and Electronic Engineering
THE UNIVERSITY OF ADELAIDE
SA 5005
AUSTRALIA

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+61 8 8303 5748
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+61 8 8303 4360
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GACETA COMPLUTENSE—INVESTIGACIÓN
Un modelo matemático que da mucho juego
La paradoja de Parrondo: perder + perder =ganar(Spanish)

The paradox of Parrondo: to lose + to lose = to win (Bad English translation)

Juan Manuel Rodriguez Parrondo, titular professor of the Department of Atomic, Molecular and Nuclear Physics of the Faculty of Physical Sciences, has devised two simple mathematical games of chance that are interesting to experts in very diverse areas of science. Their results are surprising in statistical terms, to play anyone of the two separately supposes to lose. However, if the player alternates both, in certain or random combinations, it wins. An effect that in articles specialised already is known like "the Parrondo’s Paradox".

By JAVIER OCHOA.

If you feel that life always deals you a bad hand, take heart. Some games that you're guaranteed to lose produce surprises if played together, explains

PHILIP BALL

Research finds 2 losing games can make a gambler a winner. Look out Las Vegas, here comes Parrondo's paradox.

By SUE GOETINCK.

nauka Skazany Na Sukces?

Polish article, sorry, no interpretation. (29/12/00)

By PIOTR CIESLINSKI.

There are times in which two bad followed results can give rise one good one: it says the paradox to it of Parrondo. Juan Manuel Rodriguez Parrondo, of 36 years, physicist, professor of the Complutensian University of Madrid, has created two games of chance that more and more intrigue peculiar engineers, mathematicians, biologists and in general.

By MÓNICA SALOMONE.

Need a bit of luck in the new millennium? A couple of scientists might just have found the key.

By SHARON NIXON.

mathematics: Losing to win
online features -- MathTrek: Losing to win

Two games of chance, each guaranteed to give a player a predominance of losses in the long term, can add up to a winning outcome if the player alternates between the two games.

By I.P. (15-1-00)

A Spanish physicist has discovered what appears to be a new law of nature that may help explain, among other things, how life arose out of a primordial soup, why President Clinton´s popularity rose after he was caught in a sex scandal, and why investing in losing stocks can sometimes lead to greater capital gains.

By SANDRA BLAKESLEE.

Similar to above. By SANDRA BLAKESLEE.

Unknown title

Similar to above.(27/1/00, page 8).

By SANDRA BLAKESLEE.

From the gamblings we learn to win. (5/2/00).

By ROBERTO VACCA.

Wer zweimal verliert, gewinnt (German)
Who loses twice, wins (Good English Translation)

Parrondo's paradox: Confusing for laymen, obvious for mathematicians, but unfortunately useless for players. (7/2/00).

By VON JOACHIM LAUKENMANN.

Gambling, genetics, the economy and swinging voters ­ what do they all have in common?

By DAVID ELLIS.

cool math site of the week (7-3-00)
knot 199 -- Parrondo's Games

A fine demonstration of the paradoxical Parrondo's game (to lose + to lose = to win!) and the related Brownian Ratchet.

Canadian Mathematical Society.

Hasard mathématique et chaos biologique
Qui perd gagne (French)
Mathematical chance and biological chos
Who loses gains (Bad English translation)

Try your chance with a game of chance. Generally, you lose. Play two games of chance, alternatively and in a random way: surprised, you gain! This paradox lights the apparently chaotic mechanisms, and yet oiled well, of the cells or proteins.

By HERVÉ RATEL.

Winning With Losing Games:
A New Paradox in the World of Probability

There's an old story about a store owner who loses money on each individual sale but somehow makes it up in volume of sales.

By JOHN ALLEN PAULOS.

Although the odds are stacked against you at both roulette and blackjack there's a sure way to win -- play two games of one, and then shift to the other for two games and then shift back again.

By STEPHEN LUNTZ.

Features: Playing both sides

Parrondo's paradox shows that you can win at two losing games by switching between them. The result has surprising implications for the origins of life.

By ERICA KLARREICH.

Computational Science Olympics 2002 Winners Have Been Chosen!!!