Optimisation and game theory LECTURE 1 and 2

Common features of optimaility analyse

1. Specifit a stratefy set

   • set of availbale choice→ e.g the fishing aurthorist may choose the sepcify any non-negative effect level E

2. Specifiy optimisation criterion or currency

   • Quantity that we seek to maximise/minimise

   • e.g authoristy seeks to maximise sustainable yield or operating profits

3. Specifiy payoffs to alternative strategies in term of currency

   • often introduce one or more variable parameter at this stage

   • e.g specifying the growht rate and crryig capacity of the fish population, the catching efficiecy, price per fish caught and wage cost

What selection favours genes for traits that

1. food energy ore efficiently

2. suvive better when food scarse

3. divery more enrgy to reproduction when lots of food

4. escape predators

5. produce more offspring

Why is it impossible to maximise all fitness components simultesously

1. environments change

2. Can involve co-evolution

3. often tade offs between traits

   • e.g more offsrping = less life span

→ USe optimality models to predict what will be selected for

Evolutionary stability strategy

• in a population of individuals that adopt this strategy

• no rate mutant type that adopts a different strategy can invade

i.e can gain greater fitness payoff than the established type

Optimatlity→ is when the evolutionary stability is not affected by behvioaur of others