Example DT-2 - Lawsuit Outcomes

Examples provided here are purely for illustrating software features and functionality.

Example DT-2 – Lawsuit Outcomes

Download Example File for Version 10 (*.rsgz10) or Version 9 (*.rsr9)

Problem Statement:

Consider the case of SALF vs. ACME, where SALF (Sue All Law Firm) is suing ACME (A Company Manufacturing Everything).

ACME considers offering SALF $2 million for an out of court settlement.

  • There is a 17% chance that SALF will accept the offer.
  • If not, SALF will counter with $5 million.

ACME can:

  • Accept the $5 million counter offer (30%).
  • Reject the offer and go to court (30%). In court, there is:
    • A 10% chance of a $7 million award.
    • An 80% chance of a $5 million award.
    • A 10% chance of losing the case (no award).
  • Re-counter at $3 million (40%).

SALF can then:

  • Accept the $3 million settlement (20%).
  • Reject the offer and go to court. In court, there is:
    • A 10% chance of a $7 million award.
    • An 80% chance of a $5 million award.
    • A 10% chance of losing the case (no award).

Compute the probabilities of each outcome.

Define the Resources

Define a variable to represent the total probability of ACME’s initial offer (100%), which will then be broken down into the probabilities of all possible outcomes.

Build the Flowchart

Construct the flowchart as follows:

Step 1: Use a standard block to represent the probability of ACME’s $2 million initial offer.

Step 2: Use a binary node to evaluate whether SALF will accept the offer, as shown next.

If SALF accepts the offer, then the binary node will multiply the incoming value (100) by the probability value (0.17) and then pass the result to the “true” path. If SALF does not accept the offer, then the binary node will multiply the incoming value by the complement value of the probability (0.83) and then pass the result to the “false” path.

Step 3: Use a standard block and the RENO internal function called “in” to accept the value from the “true” path. This represents one possible final outcome, so you may wish to alter its color using the Block Style window so that it stands out.

Use a summing gate to accept and pass the output from the “false” path down multiple paths. The following picture shows the properties of the summing gate.

Use a summing gate to accept and pass the output from the “false” path down multiple paths. The following picture shows the properties of the summing gate.

Step 4: Use three standard blocks to represent the probability that ACME will accept the $5 million counter offer, the probability that ACME will reject the offer, and the probability that ACME will re-counter at $3 million.

Step 5: If ACME rejects the offer, use three standard blocks to represent the probability of a 7M reward, a 5M award, or no reward. Use a summing gate to mark the point where the paths split.

Step 6: If ACME re-counters at $3 million, use a binary node to evaluate whether SALF will accept the counter offer. If SALF accepts, the binary node will multiply the incoming value by the probability value (0.2) and then pass the result to the “true” path. If SALF does not accept the offer, then the binary node will multiply the incoming value by the complement value of the probability (0.8) and then pass the result to the “false” path.

Step 7: Use a standard block and the RENO internal function called “in” to accept the value from the “true” path. This block represents the probability of a 3M reward.

Use a summing gate to accept and pass the output from the “false” path down to three standard blocks that represent the probability of a 7M reward, a 5M reward, or no reward.

Simulation

Since all events here are represented with fixed probabilities, only one simulation is necessary. The following picture shows the results of the simulation in the flowchart (you can select the Show Block Values check box on the control panel to display the results).

The following picture shows another possible way to organize the flowchart for this problem. In this case, the rejection of SALF’s $5 million counter offer and the rejection of ACME’s $3 million counter offer lead to a single summing gate that totals the probabilities of the two different rejections, both of which lead to the case going to court and the possible outcomes there.