Time in a Bottle – Making The Finite Life Last Forever

The moment we realize that we are in a possession of something truly valuable is the moment when we start fearing for its loss, even the idea of losing it haunts us. The urgency created by the finiteness of our lives is the reason why we could and should truly appreciate the people and things around us, it is the same urgency which pushes us to dare to live the life we want. Jim Croce’s Time in a Bottle exposes this vulnerability as well as the strength of human beings in his song “Time in a Bottle”.

Remembering one the soulful artists – Jim Croce

Sometimes what poets, writers wish for is weird, quirky. Through this weirdness they are trying to overcome the realistic limitations we have as the human beings. Poets, songwriters are very well known to express their flights of imagination through their writings. They can make a man walk barefoot on the surface of the sun or make an elephant fly in the air making it light as feather or make a wild beast fall in love or make donkey sing like a tenor and list goes on. What makes these imaginations or these wishes special is that the imperfection these wishes’ originator wants to remove from the reality. When the poet makes a person walk barefoot on the sun, he/she wants that person to be able to tolerate and experience that hotness of the sun, when the poet makes the elephants fly, he/she wants them to have the bird’s perspective towards the world and there can be many interpretations depending on the core idea to be conveyed.

Wishes are one integral part of every person’s existence. Facts represent what the reality actually is and the wishes represent how we expect the reality to be. That is why every fact can be a wish but every wish cannot be a reality – a fact. That is where ideas like wishful thinking, false hope originate from. Even though wishes might not be the exact representation of reality – sometimes really far or exactly opposite it, they represent a hidden dimension of how we think and manage our expectations in day-to-day life. In simple words, we always wish everything to happen according to our ways but at the same time, we are also aware that “That’s not how things work in reality!”. And funny enough or given that our stubbornness to have control over the course of our lives, we still keep on wishing things to happen in certain way – our way.  Wishes represent the bridge between how we understand the world and how the world really is (and trust me very few or almost none of us have real understanding of how the world is!) You wish a thing to be like this and exactly that happens, now that reality originated from your wish is your understanding of how the world is. When this wish does not come to fruition, the exact opposite of that wish is how the world is for you.

In simple words, a wish is the most powerful tool of how we want our world to be; practical or impractical, it still exists for us through our wishes. Even when it does not come to fruition, it the only existent and personal thing that brings us calmness, peace in the world full of uncertainties. Having too many unrealistic wishes makes one delusional and having too much realism makes one emotionless, mechanical; so there exists a spectrum of how we manage our expectations.

Now that we have established what wishes mean and what should be their dosage in our daily life. Let us move on to a special wish a man had for his loved ones – especially for his baby and his wife. This guy was Jim Croce, an American folk and rock singer-songwriter. The date 20 September 2023 marks 50 years since we lost one of the most original and soulful artists and human beings. Jim’s “Time in a Bottle” song is the embodiment of the tragedy of his life which also point towards the tragedy of being a human; furthermore, it also shows an optimistic and truly important perspective towards living a limited, fragile but fulfilled life. Jim’s words – Jim’s wishes in this song are simple, just in exactly enough quantity but the ideas and thoughts expressed transcend the borders of the infinity.

If I could save time in a bottle 

The first thing that I'd like to do

Is to save every day 'til eternity passes away

Just to spend them with you

Jim wants to have total control over the time he can have. The moment he will have hold over time of his life he wishes all that time to be with his loved ones. Using as simple object as a bottle to contain such an intangible, uncapturable and extremely powerful object like the time shows how desperately he wishes to have control over the time just to have the company of his loved ones – his wife and his son.

It is only the daring of the songwriter’s imagination to make the concept of time as the ‘one with ends of start and finish’ thereby making it finite and “contain”-able in a bottle even after knowing that it is impossible.

The wish to save every day, to have hold over the time to spend shows how time is the most valuable currency we have as the mortal beings. Jim’s wish to transcend even the eternity furthermore intensifies his wish ‘to spend the life with loved ones’.

They say time is an illusion, but we know how treating time as an illusion or as an expendable item can make our mortal lives suffer even more. Even though we have a grasp on the theory of time travel, we have barely scratched on the surface of how to perceive time and control it. This inseparable and highly influential impact of time on our lives make them fragile and irreplaceable too. Jim knew this; that is exactly why when he says that he wants to contain time and eternity to spend them with his loved ones. He is realistically implying that he does not want to waste even a single moment of his life. It’s a good advice for every one of us too. 

If I could make days last forever

If words could make wishes come true

I'd save every day like a treasure, and then

Again, I would spend them with you

When Jim will get complete hold on eternity, he would still use that time fully with his family. The repetition of the idea expresses the urgency to not even waste the immediate next moment.

There is innate purpose in Jim’s wish to get hold on the things like eternity and time; things which do not have any boundaries or limits, things which cannot be contained into finiteness. The intent is to signify the incomparable value of the finite time we have in everyone’s life. Spending these moments in doing things we love, have passion for, and with our loved ones is the highest value one can extract from such an incomparable asset. This also a simple way to express how intensely and passionately Jim loves and cares for his family.

But there never seems to be enough time

To do the things you want to do once you find them

The wishes and imagination expressed by Jim show how immediately he wants to live his life lying ahead. The moment he introduces the word “but” here brings all of us from his imaginary world into the harsh reality of life that we live in. He expresses a common yet unexpressed feeling all of us carry inside every one of us.

We are always trying to find the perfect timing, perfect moment until we realize that the time we have here, is finite. There is no option but to make every moment count. If you look at the words of people who have realized that the time they have on this earth is really limited, you will understand how the value of time for them shoots up exponentially.

The moment we realize that we are in a possession of something truly valuable – the moment when we appreciate what an important thing we own, is the moment when we start fearing for its loss, even the idea of losing it haunts us. The moment we find the true happiness is the exact moment when we start doubting that this happiness will instantly perish and something bad will start happening. This is human nature, there is nothing wrong in it. It also highlights how loss of certain thing actually makes us appreciate the true value of that lost thing.

“Remembering that I’ll be dead soon is the most important tool I’ve ever encountered to help me make the big choices in life. Because almost everything — all external expectations, all pride, all fear of embarrassment or failure — these things just fall away in the face of death, leaving only what is truly important. Remembering that you are going to die is the best way I know to avoid the trap of thinking you have something to lose. You are already naked. There is no reason not to follow your heart.”

Steve jobs, Stanford Commencement Address, 2005

A true artist is an expert of bringing out such very common yet unexpressed emotions out to the masses through his /her creations. It creates this common ground where people from different walks of life – different levels of life share their common personal, intimate experiences. Jim beautifully puts down the tragedy of the finiteness of life and the urgency to live it, experience it thoroughly, inside -out. It is really heartbreaking to know that you won’t be there around your loved ones forever. And most importantly, the feeling of loss is more intense, dreadful than actual loss itself but that is what the reality is.

I've looked around enough to know

That you're the one I want to go through time with

Now what Jim says here is about how you can express your intense love, passion with practicality. He assures his loved ones that even though the time he has, the time all of us have is finite, we can still make it worth of our life by being with the people we love, by valuing them. This finiteness of our existence pushes us to appreciate everything, every person we have close to us.

You can see in the early part of the song, Jim expresses naïve, highly romanticized and somewhat foolish thoughts of being eternal forever to express the passionate love, affection towards his love. This early part of the song also indirectly reveals how carelessly we handle some important aspects and important people in our life, in our youth where we literally feel like immortals with infinite energy.

There comes a moment when we have to actually make decisions solely by ourselves which would alter the upcoming course of our very own life and there is no escape from these choices, at that same moment we understand what we hold dear to us, what actually matters, what is noise and what illusions we were following till that moment. Some would say that we become mature and more realistic. The perfect veil of illusions drops down showing the imperfect, crude reality. This is the moment we understand that even though the illusion was pleasing, the reality is where we actually exist and what could be more worthwhile than being with those who are special to us in this good and real time even though it is finite.

If I had a box just for wishes

And dreams that had never come true

The box would be empty

Except for the memory of how they were answered by you

The realization of the value of people, things, and moments in which we interacted with them makes us appreciate their real beauty. The time we must live may not be infinite but even in this limited time the memories we create with our loved ones make us truly immortal. These memories are the linkages which get carried on from one person to another sometimes from one generation to the next one.

When a person is granted with immortality but if he/she has no one to love, to care for or nobody cares for or loves him/her, then what realistic purpose does this eternal life serve? It is exactly equivalent to death.

Our existence is valid and real only when other people recognize it. It is a tough pill to swallow. Many would argue that the life comes from within, you are a whole universe existing inside you, you don’t need others to validate your life – your existence but please understand that these statements are valid only for the people whose value of life lies with the opinions of others. When I am expressing about the validity of our own life upon the recognition of others, it is the value creation and upliftment of the humanity inside of us due to the interactions we get involved into. You are a universe into yourselves but if you are not making other people’s lives better, affecting the objects, people in a constructive way you are an isolated universe which is exactly equivalent to living in your own imaginary world. It will still exist as a sole but that is one selfish way to live. Many undiscovered wonders are revealed when things interact with each other.

It might seem overly philosophical but when faced with the “existential crisis”, “existential angst”, “chaos of the reality and its imperfections” everyone needs an identity, a pivot to stick to make this life worthwhile. This feeling of making our life worthwhile is created only because of the urgency to live. And this urgency to live to its fullest is created due to the finiteness of the life.

Jim expressed this philosophy in his very simple yet powerful song. He appreciates that every purpose of his life found a direction towards completion, every wish he had was fulfilled at the exact moment when he decided to create memories with his loved ones. You must appreciate that most of the times our wishes create an illusive, deceptive reality in our head where everything is perfect, it is only upon exposure of these wishes to reality when the facts are revealed. These facts may not be perfect but they are the only real thing. That why memories are really very important.

Memories have similar nature to the imagination and wishes we have but they are the outcomes of we passing through the time. So, our memories are the next best things we have to the reality in which we live and not our imagination or wishes. Memories are the embodiment of the realistic imagination and wished realized. That is why we can make these memories eternal by creating them with our loved ones and engaging in the doing thing we love.     

But there never seems to be enough time

To do the things you want to do once you find them

I've looked around enough to know

That you're the one I want to go through time with

The needs and wants are less important than the moments we have with our loved ones. It is this irreplaceability of any other materialistic thing with the memories and moments in the company of the loved ones which Jim wants to highlight through his song.

There is one important story attached with the song “Time in a bottle”.  Jim wrote this song when he came to know that he was going to be a father. He was a struggling artist enjoying the artwork he created with the support of his wife. You can say that he was in the bliss of his artistic creations which he loved creating. When he understood the start of his fatherhood, he came to truly know and appreciate the reality of life and the finiteness it has. This made him serious about his art which inspired him to create his world-famous album “You don’t mess around with Jim”. Next time when you will listen to this song with the knowledge of what actually inspired him to write this song, then you will appreciate how deeply he loved his son and his wife. He wanted every moment from thereon to be filled with their memories and that was enough to justify his finite life, finite yet truly invaluable. One can call it poetic, sad, tragic or poignant- Jim died in a plane crash aged 30. It feels like Jim had some foresight about his upcoming life when he wrote “Time in a bottle”. Even with the lifespan of mere 30 years, you will appreciate his life through this song “Time in a Bottle”. His life, thus becomes an example of creating a long-lasting life – finite yet long lasting, eternal and irreplaceable life.   

The urgency created by the finiteness of our lives is the reason why we could and should truly appreciate the people and things around us.    

Who knows, in coming eon or maybe in coming millennium we might actually be able to contain time in a bottle, then Jim’s all wishes might become a reality. Until then let us appreciate what we have as this incomparable precious life.

Game Theory – Minding our decisions

“All stable processes we shall predict.

All unstable processes we shall control.”

– Jon von Neumann

Human relationships are more of multiple complex interactions. The interactions with living or non-living bodies create some actions and these actions have some favorable or unfavorable outcomes. The word “relationship” here is not used just as in parents, siblings, in-laws or acquaintances but as a connection to everything around us, mostly living things. The awareness of our actions and their consequences- that visualization of cascade is one of the major parts of our knowledge building, relationship development, behavior management, personality development.

As a sane creature (most of the time) we try to calculate the consequences of our actions, have a thought about it and then decide our strategy while acting on something. This is what some people call the motivation or habit or trait of that person, that character. Important thing to understand is that every action always has multiple outcomes which brings the complexity in the expected outcomes of the scenarios. Different people have different motivations/ habits/ traits so they react and decide in different way adding further complexity to the scenario.

Take a simple example:

Many a times when you are trying to call your friend this happens. You call him, his phone rings but he doesn’t pick up. Then he notices the missed call and tries to call you while you are already calling him. The call remains engaged from both sides. Then you both wait for exactly the same time oping that the one on other side will call.

This goes for some time, and after some trial and error your call gets connected.

What should be an optimal strategy for such simple scenarios?

There is a rigorous field of mathematics and economics (not limited to these only and rather a wide field) which can deal with such problems and far more complex problems in our day-to-day interactions.

“Game theory is the study of mathematical models of strategic interactions among rational agents.”

 Simply put, game theory can give answers to have the best strategy for the interactions which can be business interactions, economical interactions, national interactions, war strategies or competitor strategies. The idea of Game theory was developed by famous mathematician Jon von Neumann and economist Osker Morgenstern. Let us dive in deeper.

Basic Definitions in Game Theory

Game– A game is any situation in which players (the participants- the agents) make strategic decisions—i.e., decisions that take into account each other’s actions and responses.

Agents– The participants, the players of the game.

Rational Agents– This is the most important idea in Game theory where the rationality of agent is the idea of welfare of the agent. The agent will always try to achieve its own welfare. In economics this is known as maximizing the utility.

A rational agent always tries to maximize its utility.

Strategy– Rule or plan of action for playing the game.

Payoff/ Outcome– The value of utility, extent of welfare from certain strategy. It is numerical, quantified measure of the benefit from a strategy.

Optimal Strategy– A strategy which maximizes the utility of an agent.

Please note that the clear definition of utility, rational agent, optimal strategy defines the boundaries of the problems in Game theory thereby making it mold-able into the mathematical models (although mathematical models can consider the factors beyond boundaries but it will make the problem unnecessarily complicated). Mathematical models as in the mathematical equations which can be solved using general techniques to get the maximized outcome for the agents.

Please note that the word “Game” in game theory can be any situation which requires strategic decision making involving more than one agent. The game can be simple like Stone-Paper-Scissors, Tic-Tac-Toe or a Chess game to more complex game like launching a new smart phone in the market or taking over a company or setting up a war with a nation or even winning the general elections of the country.

The Prisoner’s Dilemma

The Prisoner’s Dilemma is the most common and famous example to understand the basics of Game Theory. Consider a scenario:

Two persons are arrested by Police under the crime of armed robbery. The Police know that they have committed this robbery together but they don’t have enough proof to justify that. They can only charge the persons under the theft of the car used for robbery due to lack of evidences. Police think that if both persons confess the armed robbery, then they can easily jail them under the proper charges of armed robbery. So, they lock each of them in separate cell and ask them to either confess or deny the crime.

The police inspector tells each one of them separately in their cell the following:

If only one of you confesses the crime and the other doesn’t, then the one who confesses will be freed but the another one refusing will be sentenced for 10 years. If you both confess, you’ll each get 5 years. If neither of you confess, then you’ll each get two years for the car theft.

Now, if we see the overall scenario, the best thing for both the prisoners is to deny the crime and set themselves free at first, but if you think properly of all the consequences and the information available to both the prisoners, that is not the best strategy.

The common information of three possible cases given to both the prisoners by the policeman is known as Information Set in Game theory.

So, the outcomes of such scenario can be arranged in a table to form a matrix which is also known as the Normal Form in game theory.

If we assign a number to each the payoff of each strategy,

  1. 0 for the worst case- 10 years of jail
  2. 2 for 5 years of jail
  3. 3 for 2 years of jail
  4. 4 for becoming free, no jail

then the normal form can be given as follows:

Decision Matrix

 It becomes very easy to see as an agent of this game- the prisoner will try to maximize his utility by refusing the crime thereby setting him free. But the catch here is that he doesn’t know what another prisoner has done- whether he confessed or refused the crime.

Now, we need to understand that the final outcome is not dependent on only one prisoner decision. Hence, the decision making of second prisoner will affect the decision making of first prisoner. Let us see from the perspective of Prisoner 1:

  1. Refusing should be the best idea, but if Prisoner 1 refuses and the Prisoner 2 confesses then it will lead to 10 years of imprisonment (zero utility) for Player 1 more risky operation as he is not sure about Prisoner 2’s decision.
  2. If Prisoner 1 confesses the crime, then there are two possibilities:
    • Prisoner 2 also confesses thereby both will get 5 years of sentence (utility of two)
    • Prisoner 2 denies thereby prisoner 1 getting freed and Prisoner 2 gets sentenced for 10 years (utility of 4 for prisoner 1 and zero for prisoner 2)

 So, confessing becomes the best strategy for both the prisoners when they are in an isolated cell.

Which is why the optimal strategy for both the prisoners of this game is to confess. In any possible decision by another prisoner, it will give the best possible outcome.

The one thing important to notice here is that they both could have refused simultaneously. Because, if they both refuse it would have maximized the utility of both (2 years of jail for both, utility of 3 for both). The thing is that the risk associated with refusing is more than the risk associated with confessing. Thus, even if the utility is highest in some cases the interaction of other players forces a player to choose optimal strategy which will yield the best irrespective of other players decisions.

The Nash Equilibrium

Mathematician John Nash took the Game theory developed by Neumann and Morgenstern and provided mathematical background for finding the strategy where the solution will be optimal irrespective of the decision made by the other players. For that we need to understand the two types of games – Cooperative and non-cooperative games

If the prisoners in above examples are supposed to have a word with each other before presenting their opinion to the police they surely would have understood that refusing will benefit them both, which when exploited is a collusion – a foul play, here in the prisoner’s game it is exploited.

But as we know in reality, even if they are given a meet to discuss before presenting their opinion there is still that risk of changing the statement at the last minute (!) thereby making the game a non-cooperative game. Nash Equilibrium exists in such non-cooperative games.

A cooperative game represents the game where players agree to work towards a common goal. It’s like splitting your restaurant bill with your friends. Here the main focus remains on the contribution from each player, like Coalition of Countries to reduce carbon footprint, to stop Global Warming. Shapley value is used in cooperative games instead of Nash Equilibrium. Shapley value distributes the payoff based on the contribution a player makes in the game.

Shapley value simply decides the fairness of payoff for each player in cooperative game whereas Nash equilibrium decides the best decision to maximize the payoff in a non-cooperative game.   

“In non-cooperative games there exists an equilibrium at which no side has any rational incentive to change the chosen strategy even after running through all the choices available to the opponent”

In short, Nash Equilibrium is like a law which needs no punishment to enforce to the rational people, because the people understand that breaking that law will not benefit them.

It is like following a traffic signal properly. If all will rush at the crossing all will be late in their journey maybe possible deaths due to accidents. Following the time-based signal will give opportunity to everyone, thereby zeroing the risk of accidents and saving the travel time. (And still some people break the signal, hence the word “rational agent” is of highest importance in Game theory!)

John Nash – a mathematician received Nobel Prize in economics for his work of Nash Equilibrium. The development of mathematical tools further for game theory revolutionized the economics. The movie on his life called “A Beautiful Mind” depicts his original thought process in a beautiful way.

“I can observe the game theory is applied very much in economics. Generally, it would be wise to get into the mathematics as much as seems reasonable because the economists who use more mathematics are somehow more respected than those who use less. That’s the trend.”

– John Forbes Nash Jr.

Assumptions of Game Theory

  1. All players are utility maximizing rational agents that have full information about the games, rules and the outcomes/ payoffs. (So that the mathematical models will fit)
  2. Players are not allowed to communicate – no coalition in a bad way – no collusion- no foul play (hence the reason Governments also establish anti-collusion, antitrust laws, anti-monopoly laws in real world)
  3. Possible outcomes are known in advance and cannot be changed (Deterministic models, hence the reason many equity traders try to find some trends in the equity indices based on certain assumptions)
  4. The number of players can be infinite but most of the games will contextualize in terms of two players only (thereby simplifying the model).

Strategies of Game theory

  1. Pure and mixed strategies:
    • PURE- Players follow same strategy in the game- All the companies may increase the product prices of their products to increase the profit. (Actually, it not that simple)
    • MIXED- Different players follow different strategy in the game. (One company will try to sell less but expensive units, the another one will try to market the best-in-class after-sales services) 
  2. Dominant and dominated strategies:
    • A dominant strategy leads to the best of all alternative payoffs
    • a dominated strategy leads to the worst of all alternative payoffs
    • Say, there are two companies A and B both have two products – consumer and professional. The market has 80 % of consumers and 20 % of professionals. What can A and B do.
    • Company A and B both will enter both the consumer and professional market hence each will get 50% of the share from total market (half of consumer i.e., 40% consumer and half of professional i.e., 10% of professional market to each company), thereby maximizing the utility which is Dominant Strategy
    • Company A and B both will enter only professional market (which is already 20% of whole market- smaller market share) so both will get only 10% each of the total market thereby getting the least amount of market share which is Dominated strategy
    • Only company A can enter in consumer market and company B can enter professional market thus one will get complete consumer market and the another will get complete professional market. Reverse is also possible here.
    • The example i) here is called as Strictly Dominant Strategy, example ii) is called as Strictly Dominated strategy.
  3. Maximin strategy – A strategy which will maximize the profit, the utility in the game
  4. Minimax strategy- A strategy which will minimize the loss in the game

Game Theory for Life- The Concept of Finite and Infinite Game

The applications of Game theory are uncountable in real world. The complexity of real-life problems projects an impression as if Game theory has just started developing like a new born baby. The problems Game theory can solve and the promises it provides can add great value to humanity.

In order to understand the depths of the contributions of the Game Theory, we must understand the idea of Finite and Infinite Game.  

The finite game has known players, fixed rules, has an end point where there is one winner and there in one loser- a zero sum game. Like the game of chess, the game has two players, all the rules are fixed and cannot be changed by some external influence, either one of the kings gets the checkmate or the match becomes draw- no win or no lose- the game ends.

The infinite game is an eternal game- it goes on. The resources are infinite, the rules keep on changing, the players come and go. The infinite game is similar to what our life is. If one knows how to win an infinite game, then he/she can also win a life.

Simon Sinek has a beautiful book called “The Infinite Game” where he has explained how to win at an infinite game and thereby possibly at life. The insight from the idea of an infinite game is that the main goal of the game is to keep it playing. As the resources are infinite, players are infinite, rules are changeable- there is no endpoint for such game which will justify the worth of the winner. There is no winner.         

Most of the games in economics, finance may seem finite games for once but deep down, when explored further are the infinite games, our life is the best example of it. Simon Sinek has given many lectures, talks about the mindset for infinite game which are beautiful. They are beautiful because they reflect the philosophical nature of Game theory and its synergy to human decision making which is not rational all the times. Simon Sinek highlights on five headers while discussing the infinite games.

  1. Just cause- A Specific vision for the future which is yet to exist. It is powerful enough to motivate people, make sacrifice for it.
  2. Trusting teams- Creating room for improvements, improvements will lead to evolution, development. This will truly lift the human spirit. It is about the creation of psychologically safe environment where people can demonstrate who they are and improve over it to last longer in the game.
  3. Worthy rival- As the game is infinite- won’t end, the rival should always inspire one to elevate the game thereby strengthening both the sides. If the rival is not strong- worthy the game will end to some part but still new player will enter and perpetuate the game, thus the sustenance demands worthy rival.
  4. Existential Flexibility- Disruption for more effective development leading to evolution
  5. Courage to lead- Given the uncertainty of the outcome, a risk-taking attitude for the unknown but good future dependent upon the just cause is important to live through the infinite game.

Such ideas given for the infinite game can help build better organizations, better teams, better institutions.

“An infinite mindset embraces abundance whereas a finite mindset operates with a scarcity mentality. In the Infinite Game we accept that “being the best” is a fool’s errand and that multiple players can do well at the same time.”

– Simon Sinek, The Infinite Game

The Game theory itself represents an institution which has proved to become useful in not only economics but also in philosophy of humanity.

(We can deduce the optimal strategy for the engaging phone call game using Game theory. The optimal strategy is to do what both sides were doing before initiating the call. Thus, the one who tried calling first should continue calling whereas the one receiving the call should wait for the call rather than calling back! Please assume the rationality of your friend, willingness of your friend to accept the call, strong signal strength for the game!)

References and Further Readings:

  1. The Infinite Game by Simon Sinek
  2. Ross, Don, “Game Theory”, The Stanford Encyclopedia of Philosophy (Fall 2021 Edition), Edward N. Zalta (ed.)
  3. Game Theory: Definition, Role in Economics, and Examples by investpedia.com
  4. What game theory teaches us about war | Simon Sinek – TED Archive
  5. The Infinite Game for New York Times
  6. Strategic Dominance: A Guide to Dominant and Dominated Strategies by effectivology.com
  7. Photo of Jon von Neumann from Wikimedia and www.lanl.gov
  8. Photo of John Nash from Wikimedia and Peter Badge
  9. Photo of Simon Sinek from Wikimedia
  10. Memes from