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- 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.
- December 2003
- Case
Big Ideas, Inc.
By: Henry B. Reiling and Maria Mercedes Camargo
During a weekend social event, a company president learns of an attractive investment tenuously connected to his firm's line of business. Is this a corporate opportunity? View Details
Reiling, Henry B., and Maria Mercedes Camargo. "Big Ideas, Inc." Harvard Business School Case 204-104, December 2003.
- November 2016 (Revised September 2018)
- Case
Elon Musk's Big Bets
By: David B. Yoffie, Eric Baldwin and Brandon Kaufmann
Between late 2014 and late 2016, Tesla CEO Elon Musk undertook several major, and risky, initiatives that would dramatically expand the scale and scope of Tesla’s business. In late 2014, Tesla began construction on a $5 billion “gigafactory” that would manufacture... View Details
Keywords: Electric Vehicles; Batteries; Solar Power; Strategy; Execution; Technology; Space Flight; Tesla; SolarCity; SpaceX; Elon Musk; Information Technology; Risk and Uncertainty; Expansion; Renewable Energy; Investment; Manufacturing Industry; Green Technology Industry; Auto Industry; Aerospace Industry; Battery Industry
Yoffie, David B., Eric Baldwin, and Brandon Kaufmann. "Elon Musk's Big Bets." Harvard Business School Case 717-431, November 2016. (Revised September 2018.)
- 18 Sep 2000
- Research & Ideas
Big Deals: Financing Large-Scale Investments
Disney, and Iridium, and Boston's Central Artery Project (the "Big Dig") in the public sector, are examples of some recent efforts that went bankrupt or had to be restructured. The managerial challenge is to figure out how to... View Details
Keywords: by Julia Hanna
- 12 Aug 2002
- Op-Ed
Using Big Business to Fight Poverty
pull the levers of government in order to get a road built, to have a power line strung, or to obtain police protection for a project. Corporations can also empower citizens more directly. By motivating,... View Details
Keywords: by George C. Lodge
- 15 Aug 2016
- Research & Ideas
Black Swans and Big Trends Can Ruin Anyone's Internet Prediction
bad results. If this premise seems plausible, then we should ask: Have recent declines in startup valuations and VC investments have been big enough to elicit another threat-rigidity response? Probably not—at least not yet. But when... View Details
- August 2019 (Revised March 2022)
- Case
Lemonade: Disrupting Insurance with Instant Everything, Killer Prices, and a Big Heart
By: Elie Ofek and Danielle Golan
Launching its first products in the fall of 2016 in New York, insurtech startup Lemonade was on a mission to disrupt the insurance market by using AI and behavioral economics principles. The company offered renters, homeowners, and condo insurance and mainly targeted... View Details
Keywords: AI; Business Startups; Insurance; Technological Innovation; Business Model; Disruption; Brands and Branding; Growth and Development Strategy; Global Strategy; Decision Making; Insurance Industry; Technology Industry
Ofek, Elie, and Danielle Golan. "Lemonade: Disrupting Insurance with Instant Everything, Killer Prices, and a Big Heart." Harvard Business School Case 520-020, August 2019. (Revised March 2022.)
- 10 May 2022
- Research & Ideas
Being Your Own Boss Can Pay Off, but Not Always with Big Pay
Besides, prior studies have shown that other factors motivate self-employed people more than salary. Their bottom lines are not entirely measured in dollars, Kerr says. “It’s about being your own boss, spending more time with your family,... View Details
Keywords: by Jay Fitzgerald
- 09 May 2005
- Research & Ideas
Hold or Fold? Sizing Up Business Risk
column, "want other things." When you put these three dimensions together, you get a simple matrix that looks like this. We've included a line for you to add your rationale or thinking for the... View Details
- 23 Apr 2014
- HBS Case
Are Electronic Cigarettes a Public Good or Health Hazard?
mainstream big tobacco companies. But playing out the scenario to the end, that is exactly what may happen—and all in the absence of any definitive data showing whether e-cigarettes are more or less harmful... View Details
- 11 Apr 2023
- Research & Ideas
Is Amazon a Retailer, a Tech Firm, or a Media Company? How AI Can Help Investors Decide
industry lines as companies increasingly bring seemingly unrelated business lines together in unconventional ways. New research by Awada, Harvard Business School Professor Suraj Srinivasan, and doctoral... View Details
- July – August 2010
- Column
Powerlessness Corrupts
Powerlessness damages organizations--especially in the middle ranks, says HBR columnist Rosabeth Moss Kanter. Hemmed in by rules and treated as unimportant, people get even with management by overcontrolling their own turf. Kanter urges leaders to give employees... View Details
Keywords: Employee Relationship Management; Opportunities; Behavior; Motivation and Incentives; Power and Influence
Kanter, Rosabeth M. "Powerlessness Corrupts." Harvard Business Review 88, nos. 7-8 (July–August 2010).
- 23 Aug 2006
- Op-Ed
The Real Wal-Mart Effect
at all stores.) But questioning whether Wal-Mart's overall economic impact has been positive or negative reflects a failure to engage properly with the data. More For Everyone First, there is hard evidence that Wal-Mart has grown the... View Details
- 23 Aug 2004
- Research & Ideas
Strategy for Small Fish
ventures during the venture capital boom of the late 1990s was selecting areas that had no staying power, such as Web calendars or Web-dispatched limousine services. Over time, it was inevitable that these new niches would merge with... View Details
Keywords: by Marco Iansiti & Roy Levien
- 20 Apr 2021
- Book
A Simple Question That Can Guide Companies to Epic Success
they eschew efforts—even bold, cutting-edge proposals—that are unlikely to generate value for customers, employees, or suppliers. “Companies that raise customer willingness to pay in a distinctive manner attract the very customers that... View Details
Keywords: by Danielle Kost
- 14 Oct 2013
- Research & Ideas
Blockbuster! Why Star Power Works
publishers, and producers in other sectors of the entertainment industry live by this approach. You might think that spreading resources evenly across product lines is the safest approach, especially because no one seems to know for sure... View Details
- 23 Jul 2001
- Research & Ideas
Looking for CEOs in All the Wrong Places
turnover is largely determined by two factors: whether the turnover is forced or natural, and whether an internal or external candidate is selected as the successor. CEO searches, as currently practiced, are... View Details
- 25 Oct 2017
- Research & Ideas
Will Machine Learning Make You a Better Manager?
that enable them to predict new patterns for the future. ”We are in a new industrial revolution led by algorithms” We have all seen the process in action, whether it’s Amazon telling us we “may also like” to buy an Instant Pot programmable pressure cooker, View Details
- 19 Nov 2014
- HBS Case
Marketing Marijuana
against federal law? But in the absence of enforcement action by the United States government, perhaps the better question is, what will the inevitable national market in marijuana shake out? Will it consist of grungy underground head shops? Designer weed boutiques?... View Details
- 18 Apr 2005
- Research & Ideas
Tips to Reinvent the Department Store
looking to become what they want to be—as opposed to a series of vendor shops.— Pat Chadwick, Bloomingdale's Alan Barnett, senior vice president of merchandise planning and information systems for Barneys New York, noted that "the department stores have been said... View Details