Search found 9 matches

by Stormyman
Thu Jul 12, 2007 12:35 pm
Forum: Vensim
Topic: finding nash equilibria
Replies: 17
Views: 9147

> LAUJJL I am not sure if you understood the concept of Nash Equilibria. There are games with no equilibria, with pure equilibria, with mixed equilibria and with both. Of course its best to find all equilibria. But the pure ones would already be enough. In your file without a restriction there is no...
by Stormyman
Wed Jul 11, 2007 10:29 am
Forum: Vensim
Topic: finding nash equilibria
Replies: 17
Views: 9147

I built a small counot model for illustration in Vensim. If you maximize Joint Profit varying quantity 1 and quanity 2...youget mulitple solutions. That is one player supplies 50, the other 0. Or both players supply 25. However you can easily test that one player will deviate from all these solution...
by Stormyman
Wed Jul 11, 2007 8:49 am
Forum: Vensim
Topic: finding nash equilibria
Replies: 17
Views: 9147

The model is NOT to illustrate a real life problem nor should be used for that. It was built within a few minutes just to point out mathematical problem in the forum here. Alternatively you can use a cournot competition, that is a bit more realistic, having the same mathematical problem. I have larg...
by Stormyman
Tue Jul 10, 2007 1:54 pm
Forum: Vensim
Topic: finding nash equilibria
Replies: 17
Views: 9147

Hi there, I built a model to illustrate my problem. I didn't add units , but I hope its understandable. 2 Players make profit by offering a capacity to the market. The profit in a period is: profit (player)=demand*(capacity 1/(capacity 1+capacity2))-investment cost Player 1 starts with a capacity of...
by Stormyman
Mon Jul 09, 2007 9:41 am
Forum: Vensim
Topic: finding nash equilibria
Replies: 17
Views: 9147

I first have to learn to program batch files, when I did, I will post here. Fotunately it should easily be possible to test if convergence was achieved, but just letting one or some only players maximize and see if thy choose another optimum. LAUJJL , Thank you for the reply. The concept of nash equ...
by Stormyman
Fri Jul 06, 2007 12:18 pm
Forum: Vensim
Topic: finding nash equilibria
Replies: 17
Views: 9147

Thank you for the reply. In a dynamic problem wouldn't it work to use investment vectors that are optimized until no player wants to deviate from the investment vector anymore given the vectors of all other players ? With a single player this works. How would such a batch file with FILE>SHELL comman...
by Stormyman
Fri Jul 06, 2007 9:26 am
Forum: Vensim
Topic: finding nash equilibria
Replies: 17
Views: 9147

finding nash equilibria

Hi, Suppose a game where 2 players [1,2] invest into capacity (that costs) and earn their profit according to their fraction of total capacity. So profit(player 1)=capacity(player1)/ (capacity(player1)+capacity(player2)) and vice versa. I cannot just let one player optimize his profit, holding the o...
by Stormyman
Sun Feb 18, 2007 8:12 pm
Forum: Vensim
Topic: Optimizing behaviour
Replies: 4
Views: 3511

Thank you for the help, I figured out how to do it - at least partially !! It works !! I am new to dds, I used Vensim standard before thats why I tryed to solve with sensitivity simulations. I am just wondering how to define the [TimePeriod] subscript... what exactly should I write into the subscrip...
by Stormyman
Sat Feb 17, 2007 3:59 pm
Forum: Vensim
Topic: Optimizing behaviour
Replies: 4
Views: 3511

Optimizing behaviour

I am building a model where players maximize their cumulated payoff. The payoff depends on the players investments. Conditions change over time thus early investments are more profitable than late investments, both have a cost. In each period a player asks : What is the optimal investment in the act...