Samson, Delilah, and Game Theory
Steven Brams is a Professor of Politics at New York University. He graduated in 1962 from the Massachusetts Institute of Technology and received his Ph.D. in 1966 from Northwestern. His primary research interests include game theory and its applications, particularly in political science and international relations, and social choice theory, particularly as applied to voting and elections. He is one of the independent discoverers of approval voting and a co-discoverer of the first envy-free solution to the n-person cake cutting problem. Brams was a Guggenheim Fellow from 1986 to 1987 and is a member of the American Association for Advancement of Science.
Question: What is game theory?\r\n
Steven Brams: Sure. Game theory is a strategic theory in which there are generally two or more players, so-called, or actors. And the outcome of their game depends on the choices of all the players. So, it’s an interdependent decision situation. And the mathematical theory was developed going back to the 1920’s, but primarily in a book by John Von Neumann, the great mathematician, and Oskar Morgenstern, an economist, who were both at Princeton, called "Theory of Games and Economic Behavior." This book was published in 1944, and that really started the subject of “game theory.” And it’s been applied in numerous areas. I am a political scientist, so it’s been applied to the study of voting and elections to international politics. It’s probably most prominent in economics; most of economics is now written in “game theory” terms, especially micro-economics, but macro-economics, international economics as well. It’s been applied to biology, evolutionary biology, the evolution of species, their conflicts.\r\n
For example, in my work I’ve applied it to text, including the Bible. I’ve looked at the Hebrew Bible and the 20 stories of conflict and intrigue that I thought were most game-like, and starting with Adam and Eve and going through most of the famous stories, and some not so famous. I tried to show with game trees and payoff matrixes that the biblical characters were by and large rational, God included. I made applications in political science and I’ve also done applications to sports; the selection of draft players for example, in the professional sports league. So, those are some examples.\r\n
Question: What’s an example of biblical characters acting rationally according to game theory?\r\n
Steven Brams: Take the story of Samson and Delilah. In this story, Delilah, a Philistine, tries to get the secret of Samson’s strength; and makes three attempts. Delilah is a woman that Samson loves, he very much dislikes being harassed all the time for the secret of his strength, but he refuses in the first two attempts that Delilah has. Finally he succumbs and he tells the secret of his strength and then bad things happen afterwards. Though, Samson gets his revenge in the end. And I think the interesting question you can ask about this story is; how could somebody like Samson be so stupid as to ignore several warnings?\r\n
And my answer is that if you look at Samson’s previous career, he lusted after almost every woman he ever met. Every beautiful woman anyway, and Delilah was the latest. So, you can explain his behavior as rational in terms of this interest in women, allowing him to think that he was taking a risk maybe in telling the secret of his strength, his long hair which, of course, was cut off. But it might not be disastrous.\r\n
In the end, it was disastrous. Samson was mutilated, he was treated with derision, but he got his revenge. He was placed between two pillars, his hair had grown back at that time, and he collapsed this big stadium, killing thousands of Philistines.\r\n
So, in games, bad things can happen. One can explain this in terms of the rationality of the player’s actions. And I define rationality simply to mean that you make better – you can rank alternatives and you chose the best alternative. But in the game, it’s more complicated because you have to choose the best alternative in light of what the other players may chose and that affects the outcome. But it doesn’t depend on your goals. Whatever your goals, if you do the best to achieve them, I argue you’re being rational. So if somebody desires to commit suicide, and maybe somebody who is in great pain and succeeds in doing so, I consider that behavior rational because this was the goal of the person.\r\n
Most of us don’t have the goal of committing suicide. Most of us have other goals; winning in a contest and the like, getting as much profit as we can from an enterprise. But whatever the goals, if you chose the most effective means to achieve them, you’re being rational. That’s, I think, the best way of thinking of rationality. It’s not that the goals are reasonable; it’s that the means to achieve the goals are effective.
Recorded on February 2, 2010
Interviewed by Austin Allen
The "Biblical Games" author and game theorist demonstrates how biblical characters are "by and large rational, God included."
The week-long global protest, which is calling for an end to the age of fossil fuels, is taking place in more than 160 countries today.
SOPA Images / Contributor / Getty
- Millions of people around the world are taking to the streets to demand more urgent action on climate change.
- The protests come just days ahead of the 2019 UN Climate Action Summit.
- Although it's unclear exactly how many people are participating, it's likely to be the largest climate protest ever.
Most elderly individuals' brains degrade over time, but some match — or even outperform — younger individuals on cognitive tests.
- "Super-agers" seem to escape the decline in cognitive function that affects most of the elderly population.
- New research suggests this is because of higher functional connectivity in key brain networks.
- It's not clear what the specific reason for this is, but research has uncovered several activities that encourage greater brain health in old age.
At some point in our 20s or 30s, something starts to change in our brains. They begin to shrink a little bit. The myelin that insulates our nerves begins to lose some of its integrity. Fewer and fewer chemical messages get sent as our brains make fewer neurotransmitters.
As we get older, these processes increase. Brain weight decreases by about 5 percent per decade after 40. The frontal lobe and hippocampus — areas related to memory encoding — begin to shrink mainly around 60 or 70. But this is just an unfortunate reality; you can't always be young, and things will begin to break down eventually. That's part of the reason why some individuals think that we should all hope for a life that ends by 75, before the worst effects of time sink in.
But this might be a touch premature. Some lucky individuals seem to resist these destructive forces working on our brains. In cognitive tests, these 80-year-old "super-agers" perform just as well as individuals in their 20s.
Just as sharp as the whippersnappers
To find out what's behind the phenomenon of super-agers, researchers conducted a study examining the brains and cognitive performances of two groups: 41 young adults between the ages of 18 and 35 and 40 older adults between the ages of 60 and 80.
First, the researchers administered a series of cognitive tests, like the California Verbal Learning Test (CVLT) and the Trail Making Test (TMT). Seventeen members of the older group scored at or above the mean scores of the younger group. That is, these 17 could be considered super-agers, performing at the same level as the younger study participants. Aside from these individuals, members of the older group tended to perform less well on the cognitive tests. Then, the researchers scanned all participants' brains in an fMRI, paying special attention to two portions of the brain: the default mode network and the salience network.
The default mode network is, as its name might suggest, a series of brain regions that are active by default — when we're not engaged in a task, they tend to show higher levels of activity. It also appears to be very related to thinking about one's self, thinking about others, as well as aspects of memory and thinking about the future.
The salience network is another network of brain regions, so named because it appears deeply linked to detecting and integrating salient emotional and sensory stimuli. (In neuroscience, saliency refers to how much an item "sticks out"). Both of these networks are also extremely important to overall cognitive function, and in super-agers, the activity in these networks was more coordinated than in their peers.
An image of the brain highlighting the regions associated with the default mode network.
How to ensure brain health in old age
While prior research has identified some genetic influences on how "gracefully" the brain ages, there are likely activities that can encourage brain health. "We hope to identify things we can prescribe for people that would help them be more like a superager," said Bradford Dickerson, one of the researchers in this study, in a statement. "It's not as likely to be a pill as more likely to be recommendations for lifestyle, diet, and exercise. That's one of the long-term goals of this study — to try to help people become superagers if they want to."
To date, there is some preliminary evidence of ways that you can keep your brain younger longer. For instance, more education and a cognitively demanding job predicts having higher cognitive abilities in old age. Generally speaking, the adage of "use it or lose it" appears to hold true; having a cognitively active lifestyle helps to protect your brain in old age. So, it might be tempting to fill your golden years with beer and reruns of CSI, but it's unlikely to help you keep your edge.
Aside from these intuitive ways to keep your brain healthy, regular exercise appears to boost cognitive health in old age, as Dickinson mentioned. Diet is also a protective factor, especially for diets delivering omega-3 fatty acids (which can be found in fish oil), polyphenols (found in dark chocolate!), vitamin D (egg yolks and sunlight), and the B vitamins (meat, eggs, and legumes). There's also evidence that having a healthy social life in old age can protect against cognitive decline.
For many, the physical decline associated with old age is an expected side effect of a life well-lived. But the idea that our intellect will also degrade can be a much scarier reality. Fortunately, the existence of super-agers shows that at the very least, we don't have to accept cognitive decline without a fight.
Are tiny homes just a trend for wealthy minimalists or an economic necessity for the growing poor?
- The tiny home movement has been popular on social media sites, often portraying an idyllic lifestyle that's cheaper and better for the environment without sacrificing aesthetics.
- But tiny homes may become the answer to a growing population and growing inequality.
- As the movement continues to build up steam, one has to wonder whether it's a housing crisis solution with a new coat of paint.
Tiny homes. They're the watchword of the Home & Garden network, at once an Instagrammable, envy-inducing lifestyle and an unfortunate necessity for a generation struck by a recession, historically high inequality, and loans taken out for an ostensibly necessary education that's failed to really net any benefits.
But the question is, which are they? A symbol of a smarter, more environmentally-conscious, humbler generation — or a symbol of one that's had to make do with less than its predecessors? (See: "Millennials buy the things their parents did — but they're much poorer.")
Downsizing housing and hubris
Image source: Mike Morgan / For The Washington Post via Getty Images
Will tiny homes look like this in the future -- smaller and more efficient but still beautiful?
In the U.S., things are just bigger, and houses are no exception. The median size of a single-family home in the U.S. peaked in 2015 at 2,467 square feet. Compared to other parts of the world — particularly Europe — this is a massive figure. There's a variety of reasons for this; one, for example, is that Americans began driving early and often, which transformed the design of their cities and suburbs. Developers could build outside of urban centers where the land was cheaper and more plentiful, enabling bigger houses to be bought.
In addition, the idea of having a lot of space seems to be an appealing one to the former European colonies — where Europeans have often lived in more cramped, repurposed older buildings, Australians, Canadians, and Americans had the opportunity to seize land (despite it already being occupied) and build new, sprawling settlements throughout it. The prosperity that the America saw in the 20th century didn't hurt, either; why not build big if you've got the money to spare?
But a considerable amount of this space is wasted. A UCLA study found that the majority of people spend their time in the kitchen or around the television and very rarely use the living room or porch. As a result of these extra, unused spaces, more resources are wasted on construction, and energy consumption is double what a family would need if their house only had the rooms that they actually use.
Smaller, more energy-efficient houses are appealing to a growing population of minimalists and resource-conscious individuals. In 2017 alone, the sales of tiny homes increased by 67 percent. Coming in at under 400 square feet on average, these houses are also understandably cheap — for tiny homes on wheels, the average cost is $46,300, while those with a foundation cost on average $119,000. As a result, 68 percent of tiny homeowners don't even have a mortgage.
Downsizing out of necessity
Image source: George Rose/Getty Images
A community of tiny homes for homeless people known as "Nickelsville" in Seattle.
On the other hand, the group of people drawn to tiny homes isn't just homogenously composed of wealthy minimalists looking to reduce their consumption while still appearing trendy. In 70 percent of the U.S., the average worker can't afford a home, one-third of adults are a $400 bill away from financial difficulty, and a quarter have no retirement savings whatsoever.
Under these conditions, downsizing may be the only viable method to survive. Consider, for instance, how cities such as Seattle, Detroit, and Denver are constructing tiny homes as emergency shelters or transitional housing for the homeless. There are also the many retirees that had their savings wiped out by the Great Recession who now live nomadically in RVs and modified vans. This tiny-living trend also has its Instagram cheerleaders, but the reality of it is less idyllic. Journalist Jessica Bruder and author of Nomadland related an anecdote to MarketWatch illustrating the nature of nomadic tiny living:
"I talked to one couple, Barb and Chuck. He had been head of product development at McDonald's before he retired. He lost his nest egg in the 2008 crash and Barb did, too. One time, Barb and Chuck were standing at the gas station to get $175 worth of gas and the horror hit them that their account had $6 in it. The gas station gentleman said 'Give me your name and driver's license and if you write a check, I will wait to cash it.' He waited two whole weeks before he deposited it."
This might become a reality for more people in the future as well. Inequality widens when the rate at which wealth grows — say, your stocks or the price of your house — grows faster than the rate at which wages do. Research suggests that wealth is growing at a breakneck pace, keeping in line with economist Thomas Picketty's prediction of a dramatically inequal future.
Solutions for this will need to be found, and many municipalities or private individuals may find such a solution in constructing tiny homes. Homelessness is a powerful, self-perpetuating force, and having shelter is an obviously necessary step to escape poverty.
Regrettably, if tiny homes are being driven primarily by resource-conscious but fundamentally economically secure individuals, we can expect the trend to remain just that; a trend. In a few years, fewer and fewer tiny houses will be constructed and sold, and eventually there will just be a small contingent of diehard proponents of the lifestyle. If, however, the tiny home trend is being driven primarily by economic inequality, then we can expect it to stick around for a while.