Simple & Intuitive Models of Decision Explanations

An explanation of a decision will provide reasons for why the chosen option was chosen over others. In this text, simple and intuitive models are presented for how to organize information into an explanation of a decision. The models are interesting only as a starting point, before we go into more elaborate ones and in particular those grounded in research.

This text is part of the series on the design of decision governance. Decision governance are guidelines, rules, processes designed to improve how people make decisions. It can help ensure that the right information is used, that that information is correctly analyzed, that participants in decision making understand it, and that they use it before they make a decision. Find all texts on decision governance here.

What does an explanation of a decision look like? We’ll see in several texts that there are various ways to explain decisions, and various types of explanations for decisions: some emphasize motives of the decision maker, others the role of the environment, incentives, uncertainty, knowledge, and so on. None wins. Knowing various ways to explain decisions helps keep one’s distance from believing too much one explanation over others, and keeping a critical attitude towards all of them; the reason such an attitude is helpful, is that explanations of decisions of people necessarily involve speculation about what these people thought, felt, believed, could and couldn’t do, and so on, in a decision situation, and it is impossible to have unequivocal evidence for these speculations. (See the text, here, on what may qualify as evidence.)

Before designing guidelines, rules, and processes to govern decision making in a decision situation, it is necessary to have a relevant explanation of how a decision is made – without any governance changes – in that situation. Without a good explanation of a decision, you do not understand the factors which led to it, and consequently, you do not understand which factors decision governance needs to influence.

According to dictionary definitions of “explanation”, to explain something that happened, “you give people reasons for it, especially in an attempt to justify it” (“Explanation”, Collins Dictionary); to explain is to “make plain, manifest, or intelligible; to clear of obscurity; to illustrate the meaning of” (“Explain”, Wiktionary). In another text, here, good explanations of decisions shared the following characteristics. 

  1. Causal Clarity
  2. Simplicity
  3. Coherence
  4. Specificity
  5. Pragmatic Value
  6. Consistency with Evidence
  7. Counterfactual Plausibility

To talk about causality, and have clarity of cause and effect, requires a description of the sequence of events leading to the decision. This does not mean that events cause one another, but that even before we can claim that some events caused others, we need to order events over time. Simplicity can be achieved by removing irrelevant events. Coherence is about ensuring that the events fit knowledge and assumptions about the environment and time in which they occurred. Specificity removes irrelevant information about events and their relationships. Pragmatic value is about the usefulness of knowing how the events unfolded and what their relationships are. Consistency with evidence is achieved if the data about events and their relationships matches what we claim about the sequence and other relationships between events. Finally, counterfactual plausibility concerns what we know or can reasonably claim about alternative relationships between events, and, or alternative events.

The point of the above is that it is difficult to explain a decision without describing the sequence of events leading up to the decision.

To make this more tangible, let’s take Achilles’ decision, described below, as an example.

In The Iliad by Homer, Achilles, the Greek hero, decides to withdraw from battle after a dispute with Agamemnon, the leader of the Greek forces during the Trojan War. Agamemnon, having been forced to return his war prize, Briseis, to appease the gods, demands Achilles’ prize as compensation. In response, Achilles, feeling dishonored and enraged by Agamemnon’s actions, chooses to withdraw himself and his troops from the fighting, despite the consequences for the Greek army.

If we only want to describe this in terms of events, we have the following.

  1. Agamemnon’s Loss: Agamemnon is forced to return his war prize, Briseis, to appease the gods. This action diminishes his honor, as war prizes were a key symbol of status and success for Greek warriors.
  2. Agamemnon’s Demand: To restore his honor, Agamemnon demands compensation by taking Achilles’ war prize. This action asserts Agamemnon’s authority but directly challenges Achilles’ status and honor.
  3. Achilles’ Reaction: Feeling deeply dishonored and insulted by Agamemnon’s demand, Achilles becomes enraged. Honor is central to Achilles’ identity as a warrior, and Agamemnon’s actions undermine his sense of self-worth.
  4. Achilles’ Decision: In response, Achilles chooses to withdraw from the battle, along with his troops, as a way to protect his honor and protest Agamemnon’s actions. This decision, while personally satisfying to Achilles, weakens the Greek army and affects their chances in the war.

The events of interest are the result of actions that people take. I’ll call them agents. (This allows for more flexibility later on, when we will be looking into actions taken by systems, where AI may be behind the decisions of automated agents.) 

There is a fine line above between a description of what happened and an explanation of the same, in other words, the explanation isn’t very good. At best it consists of reasons why agents behaved as they did, and these reasons are implicit in the description of each event, for example, that Achilles decides to withdraw to protect his honor. 

(As a side note, observe that the example is not, strictly speaking, about a single decision. It is a fairly arbitrary choice to focus on Achilles’ decision. What is interesting is that we can never really talk about a single decision in isolation: Achilles’ decided something because of what other people decided, and we cannot explain his decision while ignoring theirs.)

We can make these goals more explicit, and split decisions, actions, and goals pursued through decisions. If we assume actions to be taken because of, and in order to achieve goals, we get the following revised explanation of the same decision.

1. Event: Agamemnon Returns Briseis
  • Agent: Agamemnon
    • Decision: Agamemnon decides to comply with the gods’ demands, prioritizing the well-being of the Greek forces over his personal honor.
    • Action: He returns Briseis, his war prize, to appease the gods.
    • Goal: To protect the Greek army from divine punishment.
2. Event: Agamemnon Demands Achilles’ Prize
  • Agent: Agamemnon
    • Decision: Agamemnon decides to take Achilles’ war prize as compensation, seeking to restore his honor and assert authority.
    • Action: He demands Achilles’ prize, Briseis, as compensation for his own loss.
    • Goal: To restore his honor and reinforce his leadership.
  • Agent: Achilles
    • Decision: Achilles decides to resist the demand, perceiving it as an insult to his honor.
    • Action: He protests Agamemnon’s demand, feeling deeply dishonored.
    • Goal: To protect his personal honor and status as a warrior.
3. Event: Achilles Withdraws from Battle
  • Agent: Achilles
    • Decision: Achilles decides to withdraw from battle, prioritizing his honor over the needs of the Greek army.
    • Action: He pulls himself and his troops from the fighting.
    • Goal: To defend his honor and protest Agamemnon’s disrespect.
  • Agent: Agamemnon
    • Decision: Agamemnon decides to maintain his stance and authority, accepting the consequences of Achilles’ withdrawal.
    • Action: He continues leading the Greek forces without Achilles.
    • Goal: To assert his authority and control over the army.

We can further continue down the path of explaining decisions through motives, and to do so, we need to talk about emotions. Agents have emotions and goals that influence the actions they choose to take. Furthermore, agents use information they have at the time, to identify alternative actions, predict outcomes of these, and choose one of the actions based on how the outcomes fit goals and emotions. 

This description of how decisions take place, and how they relate to goals, emotions, actions, outcomes, is fairly straightforward. While we will slowly break this model apart, and show its many omissions and deficiencies, we need to start somewhere – this will be that starting point to build more sophisticated models of decision explanations. 

We bundle events into steps, and consider that a decision explanation involves describing steps. The figure below shows the structure of the probable explanation of a decision when we assume that the decision is explained in terms of a sequence of steps leading to it. For the background on this diagram, see the text here.

In summary, the explanation of a decision will in this text be structured as follows.

The explanation of a decision is composed only of a sequence of Steps. In a Step, when an Agent takes an Action, we go to the next Step. Each Step is described only in terms of: 

  • Agents, and for each Agent: 
    • Emotions that the Agent is likely feeling at each Step 
    • Goals that Agents want to realize by taking Actions 
    • Information that the Agent has, including assumptions about information other Agents have
    • Alternative Actions that each Agent can take in that Step, in order to achieve Goals in that Step or in a later Step, and for each Action 
      • Outcomes that the Agent assumes each Action will have 
      • Reasons to take the Action and reasons against taking that Action

If we apply the model to Achilles’ decision, we have the following.

Step 1: Agamemnon Decides to Take Achilles’ Prize
  • Agent: Agamemnon
    • Emotions: Agamemnon feels anger and frustration after losing his own war prize. He is also determined to reassert his honor and leadership.
    • Goals: Agamemnon wants to restore his honor and reinforce his authority over the Greek forces.
    • Information:
      • Agamemnon knows that his loss of Briseis has weakened his standing.
      • He assumes that Achilles values his own war prize (also Briseis) as a symbol of honor and status.
      • Agamemnon assumes that taking Achilles’ prize will establish his control.
    • Alternative Actions:
      • Demand Achilles’ war prize, Briseis.
        • Outcomes (Assumptions):
          • Agamemnon will regain his honor and assert his leadership, but he risks angering Achilles and damaging relations within the army.
        • Reasons to Take the Action:
          • Agamemnon needs to restore his honor and leadership after being forced to return his own prize.
        • Reasons Against the Action:
          • This could provoke Achilles and weaken the cohesion of the Greek forces.
      • Accept his loss without demanding compensation.
        • Outcomes (Assumptions):
          • Agamemnon’s honor will remain diminished, and his authority might be questioned.
        • Reasons to Take the Action:
          • Avoids conflict with Achilles and maintains harmony within the army.
        • Reasons Against the Action:
          • Agamemnon’s standing and authority may be further weakened if he does not act to restore his honor.

Action Taken: Agamemnon demands Achilles’ war prize, Briseis.

Step 2: Achilles’ Reaction to Agamemnon’s Demand
  • Agent: Achilles
    • Emotions: Achilles feels dishonored, outraged, and humiliated by Agamemnon’s demand. His pride is wounded.
    • Goals: Achilles wants to protect his personal honor and demonstrate that he will not submit to Agamemnon’s authority.
    • Information:
      • Achilles knows that Agamemnon has taken his prize to restore his own honor.
      • He assumes that Agamemnon’s goal is to assert dominance over him, and that Agamemnon values his own honor over the cohesion of the army.
      • Achilles believes that losing his war prize is a deep insult that damages his reputation.
    • Alternative Actions:
      • Protest the demand and withdraw from battle.
        • Outcomes (Assumptions):
          • Achilles will preserve his honor, but his withdrawal will weaken the Greek army’s ability to fight.
        • Reasons to Take the Action:
          • Achilles can protect his honor and demonstrate his independence from Agamemnon’s authority.
        • Reasons Against the Action:
          • Achilles’ withdrawal will harm the Greek army and could lead to defeat.
      • Accept the loss of his prize and continue fighting.
        • Outcomes (Assumptions):
          • Achilles will remain in battle, helping the Greek army, but he will feel deeply dishonored.
        • Reasons to Take the Action:
          • Staying in the battle will help the army and maintain the Greeks’ chances of success in the war.
        • Reasons Against the Action:
          • Achilles will feel that his personal honor has been compromised, diminishing his status among the Greeks.

Action Taken: Achilles protests and decides to withdraw from the battle.

Step 3: Achilles Withdraws from Battle
  • Agent: Achilles
    • Emotions: Achilles feels justified but still outraged and deeply offended. He is resolved to stay away from the battle until his honor is restored.
    • Goals: Achilles wants to make a strong statement that his honor is more important than the Greek cause and that he will not fight until Agamemnon acknowledges his mistake.
    • Information:
      • Achilles knows that his withdrawal will weaken the Greek army’s strength in the war.
      • He assumes that the other Greek leaders will realize the importance of his presence and may pressure Agamemnon to reconcile with him.
    • Alternative Actions:
      • Withdraw from battle completely.
        • Outcomes (Assumptions):
          • Achilles will preserve his honor, but the Greek army will suffer without him.
        • Reasons to Take the Action:
          • Achilles prioritizes his honor over the success of the Greek campaign, feeling that no victory is worth dishonor.
        • Reasons Against the Action:
          • His absence could lead to Greek defeat, making it harder for Achilles to regain honor in the long term.
      • Stay out temporarily but negotiate for reconciliation.
        • Outcomes (Assumptions):
          • Achilles could potentially restore his honor without endangering the entire war effort.
        • Reasons to Take the Action:
          • A negotiated settlement could maintain both his honor and the army’s strength.
        • Reasons Against the Action:
          • Achilles may feel that negotiating weakens his moral stance and compromises his message to Agamemnon.

Action Taken: Achilles fully withdraws from the battle and refuses to fight until his honor is restored.

Step 4: Agamemnon’s Response to Achilles’ Withdrawal
  • Agent: Agamemnon
    • Emotions: Agamemnon feels frustrated but resolved to maintain his authority. He is angry that Achilles has defied him, but confident that the army can still succeed without Achilles.
    • Goals: Agamemnon wants to maintain his authority as leader of the Greek forces and avoid giving in to Achilles’ demands.
    • Information:
      • Agamemnon knows that Achilles’ absence will weaken the army, but he assumes the other Greek leaders will remain loyal to him.
      • He believes that conceding to Achilles would undermine his authority and set a bad precedent.
    • Alternative Actions:
      • Continue leading the army without Achilles.
        • Outcomes (Assumptions):
          • Agamemnon will maintain his leadership, but the Greeks will fight at a disadvantage.
        • Reasons to Take the Action:
          • Agamemnon can demonstrate that his authority is unshakable, even at the cost of weakening the army temporarily.
        • Reasons Against the Action:
          • The absence of Achilles could lead to major defeats and undermine the overall war effort.
      • Reconcile with Achilles and restore his war prize.
        • Outcomes (Assumptions):
          • Achilles may return to battle, strengthening the Greek forces, but Agamemnon’s authority will be seen as compromised.
        • Reasons to Take the Action:
          • It could restore the army’s full strength, improving their chances of success in the war.
        • Reasons Against the Action:
          • Agamemnon would lose face and weaken his position as leader by backing down to Achilles.

Action Taken: Agamemnon decides to continue leading the army without Achilles, choosing not to reconcile immediately.

In other texts, this model will be used as a simple, intuitive baseline against which more elaborate models will be discussed. The aim will remain to consider alternative ways to explain decisions, in order to inform the design of governance that should improve decision making.

To close the loop, you can revisit the characteristics of good decision explanations from the beginning of this text, and think about how it would rank – poorly, in short, as it is descriptive and speculative, relying on descriptions of hypothetical intentional states of agents. Needless to say, the example is about what dead people would do in a social environment with values and ideals that have long been discarded.