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Show Results For
- All HBS Web
(1,298)
- People (5)
- News (523)
- Research (421)
- Events (3)
- Multimedia (53)
- Faculty Publications (180)
- Article
Every Large Point Set Contains Many Collinear Points or an Empty Pentagon
By: Zachary Abel, Brad Ballinger, Prosenjit Bose, Sébastien Collette, Vida Dujmović, Ferran Hurtado, Scott Duke Kominers, Stefan Langerman, Attila Pór and David Wood
We prove the following generalised empty pentagon theorem for every integer ℓ ≥ 2, every sufficiently large set of points in the plane contains ℓ collinear points or an empty pentagon. As an application, we settle the next open case of the “big line or big clique”... View Details
Keywords: Erdős-Szekeres Theorem; Happy End Problem; Big Line Or Big Clique Conjecture; Empty Quadrilateral; Empty Pentagon; Empty Hexagon
Abel, Zachary, Brad Ballinger, Prosenjit Bose, Sébastien Collette, Vida Dujmović, Ferran Hurtado, Scott Duke Kominers, Stefan Langerman, Attila Pór, and David Wood. "Every Large Point Set Contains Many Collinear Points or an Empty Pentagon." Graphs and Combinatorics 27, no. 1 (January 2011): 47–60.
- 02 Apr 2024
- What Do You Think?
What's Enough to Make Us Happy?
That’s not a bad yardstick for decision-making in the happiness business. Most of us would probably agree that “what’s enough” should be a bit of a stretch but achievable. For example, for many years my spouse and I shared an objective of... View Details
Keywords: by James Heskett
- 21 Aug 2023
- Book
You’re More Than Your Job: 3 Tips for a Healthier Work-Life Balance
The days of sticking with one job through retirement are long gone. Younger workers are prioritizing happiness over workplace loyalty, often out of necessity. Harvard Business School senior lecturer Christina Wallace offers a roadmap for... View Details
Keywords: by Kara Baskin
- 05 Aug 2013
- Research & Ideas
To Buy Happiness, Purchase an Experience
Video directed and produced by Joanie Tobin Conventional wisdom says that money can't buy happiness. Behavioral science begs to differ. In fact, research shows that money can make us happier—but only if we spend it in particular ways. In their book View Details
Keywords: by Carmen Nobel
- 08 Mar 2021
- In Practice
COVID Killed the Traditional Workplace. What Should Companies Do Now?
A year ago, COVID-19 forced many companies to send employees home—often with a laptop and a prayer. Now, with COVID cases subsiding and vaccinations rising, the prospect of returning to old office routines appears more possible. But will employees want to flock back to... View Details
Keywords: by Dina Gerdeman
- 26 Feb 2015 - 28 Feb 2015
- Conference Presentation
Is That All There Is to Happiness?
By: J. Phillips, C. Mott, Julian De Freitas, J. Gruber and J. Knobe
Happiness researchers have started to converge on a conception of
happiness that involves some combination of high positive affect,
low negative affect, and high life satisfaction. We present three
studies which demonstrate that the ordinary understanding... View Details
- 09 May 2012
- Research & Ideas
Clayton Christensen’s “How Will You Measure Your Life?”
Editor's note: Every year, HBS Professor Clayton Christensen teaches students that well-tested academic theories can help them succeed not just in business, but in life. He expounds upon those lessons in his forthcoming book, How Will You Measure Your Life? Co-authored... View Details
- 08 Aug 2005
- Research & Ideas
A Balanced Scorecard Approach To Measure Customer Profitability
The Balanced Scorecard introduced customer metrics into performance management systems. Scorecards feature all manner of wonderful objectives relating to the customer value proposition and customer outcome metrics—for example, market share, account share, acquisition,... View Details
Keywords: by Robert S. Kaplan
- 21 May 2020
- Research & Ideas
Fighting the COVID Blues: Advice from Business Research
for the time we reasonably need to get things done,” Whillans says. Gracefully bow out of extraneous activities. Many employers are trying to help their employees unwind by scheduling virtual coffee breaks, lunch gatherings, and happy... View Details
Keywords: by Dina Gerdeman and Danielle Kost
- 10 Aug 2017
- Cold Call Podcast
Pal's Sudden Service: Taking Fast Food to the Next Level
- 16 Aug 2013
- News
Which will make you happier: Buying a new couch or going on a trip?
- 23 Feb 2018
- Blog Post
How to thrive as an Introvert at HBS
HBS as an introvert. Do you have to be an extrovert to attend HBS? HBS is a social place. There is no doubt about it. You could easily fill up every second of your non-class hours with coffees, intramural sports, happy hours, dinners,... View Details
- 10 Mar 2020
- News
Sorry, but Working From Home Is Overrated
- 21 Aug 2013
- Research & Ideas
To Buy Happiness, Spend Money on Other People
Video directed and produced by Joanie Tobin In their book Happy Money: The Science of Smarter Spending, authors Elizabeth Dunn and Michael Norton draw on years of quantitative and qualitative research to explain how money can buy... View Details
Keywords: by Carmen Nobel
- 04 Mar 2021
- News
A Counterintuitive Way to Cheer Up When You’re Down
- 24 Oct 2017
- First Look
First Look at New Research and Ideas, October 24, 2017
firms and shareholders. Download working paper: https://www.hbs.edu/faculty/Pages/item.aspx?num=51128 Harvard Business School Case 418-019 Sensing (and Monetizing) Happiness at Hitachi Inspired by research linking View Details
Keywords: Sean Silverthorne