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Making a group decision depends upon trade-offs and comprimised. When we know our co-workers, and care about their well-being it can help us try something new to eat because we are caring for the other person first.

Example: I am not vegan but two of my co-workers are. We had an office potluck and it was more important to me to honor their vegan-ness than it was to bring the same old hot dog meat for myself. I made vegan tempeh patties

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"A good way to get to yes is by knowing where the no's are first."
-- My Dad

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There are algorithms that robots use to diagnose disease, surely then, there must be a way to build an algorithm that will help a group make a decision about a lunch order.

For this particular problem, a flow-chart may help the group come to a decision together.

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Increase Awareness of Zero-Sum Cognitive Bias

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Increase Awareness of Zero-Sum Cognitive Bias

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In making a decision with a group it may help to eliminate the zero-sum cognitive bias. In addition to using non-zero-sum elements in the creation of the group's decision-making tools, making people aware of their own cognitive bias toward zero-sum could open their minds to win-win, compromise, or unseeable creative solutions.

It's worth studying.

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Use non-zero-sum in helping the group make a decision. 

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Use non-zero-sum in helping the group make a decision. 

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Group decisions can, and here should be non-competitive, and solved to mutual benefit. Aggregate gains and losses can be  more than zero.

Can this be programmed into our helpful algorithm?

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Formal Consensus is awesome when with a working with a real-time group, but may not help website users make decisions at all. Is it possible to build a modified/restructured/repurposed version of Formal Consensus to drive the group's decision on the web platform?

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"For lunch, everyone in the office gets a feeding tube, no exceptions."

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Let's try this again: Problem #1: How might offices ordering lunch reach a decision AS A GROUP?

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(Persuasive Essay) Group Tube-Feeding Is The WORST OPTION EVER

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(Persuasive Essay) Group Tube-Feeding Is The WORST OPTION EVER

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Whilst attempting to solve the ages-old office problem, "how can this group decide together on a lunch order?" I saw in my mind a group of very loyal office workers. They were successful, they were cohesive, they shared in each other's successes. The one thing they never got down, was lunchtime. "In this office, there is a sacred pact: Nobody Eats Until We All Eat."  They are a proud, ambivalent tribe. That lead to, "Starvation from Indecision,"  Then I decided nobody would starve on my hypothetical watch,  and in a flurry of quickly-moving ideas came THE WORST one of all: "They have to eat and they have to work: nobody starves, it's Feeding Tubes for everyone, no exceptions." I knew it was bad when I first came up with it, but upon further research, this isn't just a bad idea. This is quite possibly the worst suggestion for lunch since lunch immemorial.
A nasogastric tube (also known as an NG or feeding tube) is a medical device considered the measure of last resort for patients who can't eat or swallow. It is certainly not appropriate to use an NG to feel yourself or others due to convenience and indecision, as seen in our scenario. In an NG placement procedure, a feeding tube is threaded through the nose, down the throat and into the stomach. It requires an extensively-trained and licensed medical professional. (A step-by-step primer for the process is found here.) After the procedure, the NG tube placement requires an confirmatory X-Ray to ensure the tube has descended into the stomach correctly. Come on now, who's going to wait for both a procedure AND an X-ray before they eat? And, how is this X-Ray machine moved quietly and efficiently in and out of our Company Headquarters undetected?  Even if you could, you shouldn't: the average person can only have 2 abdominal X-Rays a year to be within safety range. (Yes, I looked it up, here and here.) The very business model is financially unsustainable if NG lunch can only happen twice a year.
And speaking of ethics, no medical professional worthy of a license would place an NG tube for our "we couldn't agree on lunch" purposes. Similarly, no conscientious licensed medical professional would ever agree to give regular abdominal X-Rays for purposes of meal indifference or due to inabilities to make a decision. By extension, it will be necessary to hire a profoundly unethical practitioner to do what you want. Risk Management is going to have a collective stroke. What would one have to do to find a willing to rescinder of the Hippocratic Oath for hire? Where would you look? Do you really want to go down that road? Does the company really want to take on this level of liability? (Pro Tip: arguing plausible deniability in court will be an uphill battle, given everyone is having NG Tube Lunch, together, in Conference Room B.)
To digress. When it comes to inserting the NG tube itself, know that standard infection control protocols are in play so the tube, plus all related accouterments should be sterilized and sealed, new in the package. Let's all hope Dr. Shady's supply chain isn't as compromised as his medical board standing.
Continuing, gobs of lubricant are required to safely insert the nasogastric tube into the nose and to get it to where it needs to be. The NG tube, once placed, is secured in place with a clamp onto the nostril . Due to the airway obstruction, most NG patients are mouth-breathers with, chronic dry mouth. Consider: office tube feeding lunch would be a huge detour in productivity. Because it would take a miracle to concentrate on Action Items with a room full of nostril-taped co-workers recovering from cotton mouth and nose lube.
Conversely, and nevertheless to make my point: NG feeding formula nutrition conforms to very strict dietary guidelines so, guaranteed, you're gonna have the most digestible, nutrient-dense meal-like substance you will ever kind of eat. Aside from excessive amounts of X radiation, this lunch is healthy.  Before you celebrate, let me warn you: the consistency of NG feeding formulas vary, drastically. Some are thin and lumpy, while others are as thick as mud - but none of them taste good. Remember: these aren't foods made for tasting, chewing, or even swallowing...these are foods science made to keep sick people alive, and they do not look, smell, or taste anything like food. I ask you, is lunch not but to taste, chew, and swallow?
In summation, this lunch is a terrible idea on every conceivable level. Perhaps on someone's surface level, easily-digested bags of scientific food goo, delivered to the office, might sound like an idea of a great lunch, but to those people in favor I say, the bad far outweighs the good, measure for yourself. Even with its nutritional up-side, too steep a price will be paid. Quite literally. In lawsuits against this company. Include in that price, the pain of the procedure, the risk of radiation poisoning, and the lack of taste. This scenario also requires employing an unethical practitioner, and colluding with them in order to benefit from malpractice. You might also get an infection from contaminated medical equipment not properly sterilized in an autoclave.
Conclusion: NG Tube Feeding. as a solution to a group's working lunch. is unethical, its unsustainable, it's impractical, and implausible. It is a horrendous idea, fraught with needless risk, with criminals and ending in prison. Tube Feeding as a possible solution to lunchtime is no solution at all, it is a descent into something as stupid as it is revolting, and I apologize for coming up with the idea.

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Office social dynamics

Varying degrees of willingness to try something new

Process will rely on tech - websites, phones, etc.

Accommodating dietary restrictions and preferences

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Office staff, hungry

Choices of places to order food from, many

Communication tools - phone, computer

Money to pay for food

A desire to make a decision about group lunch

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Earlier, I submitted a Project Proposal with the idea for Better Lunch: finding a way for home chefs to create and deliver healthy, customized meals to offices in their home city. I discovered this opportunity to connect these two groups of people when thinking about all the ways I disliked working lunches at the office.

From this idea comes the first problem to solve: How might offices ordering lunch reach a decision AS A GROUP?

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A merit-based reward system where co-workers earn "points" for good word, good deeds, etc. Points are spent in various ways (logo-ed company gear, better office supplies) including making the decision of lunch, for the group.

Good behavior = more points = lunch you want

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Workplace in-grouping has forced you choose a faction, even in lunch decisions. Go with the group who can offer you protection.

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You don't get to pick your own lunch, but you do get to pick someone else's lunch. Enjoy.

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Your workplace buys lunch in one market and sells it for a nominal differences in another market. Volume + time = profit.

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Work of decision-making is distributed: one co-worker orders a main dish, two others order sides, another orders a side salad or bread, and one orders beverages. More co-workers means more food. Dessert options!

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Automatically go with the most expensive lunch, under the assumption that price is synonymous with quality.

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Everyone picks a meal, then each meal's content is evaluated and given a nutritional score from predetermined criteria. Lunch is the meal with the highest score.

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Each co-worker has 1 minute to argue for their chosen lunch. Best argument wins.
Great for law firms.

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Let chefs from various restaurants try and buy your vote through delicious bribery.

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Each co-worker takes a pencil-and-paper exam testing for a food competency and the one with the highest test grade chooses lunch. Today's test topic: legumes!

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Accommodate every single recorded dietary restriction into the meal, to be safe.

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For lunch, everyone in the office gets a feeding tube, no exceptions.

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The person with the highest level of education decides what the group eats. In the even of a tie-breaker, highest GPA wins.

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Office Leadership decides on lunch, end of story.

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Instead of choosing a lunch the majority wants, pick one that NOBODY wants. That way, everyone is equally unhappy.

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A competition between co-workers ensues. The one crowned champion decides what to order.

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Problem #1: How might offices ordering lunch reach a decision AS A GROUP?  

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Problem #1: How might offices ordering lunch reach a decision AS A GROUP?  

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Below are my WORST answers/solutions to the problem.

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Don't even try to reach a decision, don't order, and go hungry.

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Group does not decide on lunch, rather, the hired celebrity spokesperson decides for them. Lourde wants Thai so that's what you're eating.