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OR/MS Today - June 2002 Letters To The Editor Call for Health Care Action To the Editor: O, INFORMS, INFORMS! Wherefore art thou INFORMS? Michael Carter is to be commended for his very informative article on the health care crisis in the April 2002 issue of OR/MS Today. He authenticates the great opportunity for OR applications and quotes the database he and Leonid Churilov built, with 800 papers describing OR applications in health care. Who are the authors of these papers? The headline to Carter's articles asks, "Why aren't more OR professionals responding to the emergency?" The causes are manifold, starting with the fact our textbooks largely ignore health care. Mea culpa! The fact is that I find it hard to get enough tutorial material I could use. So this is a call for action. Professionals: Please provide references to accessible and flexible material. Authors: Please make efforts to include the health care perspective into OR, MS, Operations Management textbooks. Andrew Vazsonyi Santa Rosa, Calif. Vazsonyi, who describes himself as a "real-life mathematician," is professor emeritus at the University of San Francisco. Heads I Win, Tails You Lose To the Editor: The following question appeared in the "Ask Marilyn" column (Marilyn vos Savant is listed in the Guinness Book of World Records Hall of Fame for the highest IQ) in Parade Magazine on March 31: "Say you're in a public library, and a beautiful stranger strikes up a conversation with you. She says, 'Let's show pennies to each other, either heads or tails. If we both show heads, I pay you $3. If we both show tails, I pay you $1. If they don't match, you pay me $2.' "At this point, she is shushed. You think, 'With both heads one-quarter of the time, I get $3. And with both tails one-quarter of the time, I get $1. So half of the time, I get $4. And with no matches half of the time, she gets $4. So it's a fair game.' "As the game is quiet, you can play in the library. But should you? Should she?" The question was raised by Edward Spellman of Cheshire, Conn. Here is Marilyn's answer that appeared in her column on April 7: "Answer to last week's puzzle: The woman in the library said, 'Let's show pennies to each other, either heads or tails. If we both show heads, I pay you $3. If we both show tails, I pay you $1. And if they don't match, you pay me $2.' Should you play? No. She can win easily. One way: If she shows you twice as many tails as heads, she wins an average of $1 for every six plays." Marilyn's answer to play twice as many tails as heads and win $1 in six plays is wrong if her opponent elects to play tails all the time! In that case, she (and her opponent) break even. Given the beautiful strangers' strategy to play twice as many tails as heads, what she wins depends on her opponent's strategy. If her opponent plays heads and tails randomly 50-50, then she will win $1 for every six plays as Marilyn stated. However, based on the statement of the problem, there is nothing stopping her opponent from playing tails all the time. In this case, they would break even (her winnings, on average, would be 2+2-1-1-1-1=0). In contrast, if she plays randomly three heads and five tails, then it can be shown, based on elementary game theory, that no matter what strategy her opponent uses, she will win, on average, $1 every eight games. Francis J. Vasko Kutztown, Pa. Dennis D. Newhart Bethlehem, Pa. Vasko is a professor in Mathematics & CIS Department at Kutztown University. Newhart works in the research department for a major corporation.
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