This model represents a set of agents in a lattice that can choose one over a set of available options. Each agent is initially assingned a random option, and then it can switch it at each time step.
The procedure to decide which option to choose is based on the previous step states of the same agent and of its four neighbours (up, down, left and right). The agent assigns a minimum probability to be chosen to each of the available options. Moreover, each option increases its probability depending on how many neighbours had that state in the previous time step.
The random choice is biased by a coefficient that concentrates, or flatten, the probability curve.

The model is highly automaticised. It creates automatically the lattice structure in Lsd and assigns the initial random states to the agents.

The parameters to set are:

• Object Lattice
• NCol, NLine: number of columns and lines in the lattice
• NState: number of available choices, to be less or equal the number of Objects "Option".
• minprob: minimum "raw" probability assigned to each option
• UniProb: unit of "raw" probability assigned for each neighbour having that option
• Elas: exponent used to transform the raw probalities such that true_prob=power(raw_prob, Elas)
• Object Option
• Id: an identifying number different for each Option.

The results to observe are:

• Object Option
• glob (in Object Option): number of agents that currently assume an option
• State (in Object Cell): current state of the agent

Model Structure
Root->Lattice->Option
             |    
             ->Row->Cell
                     
List of Variables:
Choose(0), down(0), Init(0), InitCanvas(0), left(0), right(0), State(1), up(0)

List of Parameters:
Col, Elas, glob, Id, Line, minprob, NCol, NLine, NState, num, prob, UnitProb, width

Root

Object

Label

Initialize

Comment

Lattice

Object	Label	Initialize	Comment
Lattice	up (0)		see introduction
Lattice	down (0)		see introduction
Lattice	left (0)		see introduction
Lattice	right (0)		see introduction
Lattice	Init (0)		see introduction
Lattice	NCol (P)	Yes	see introduction
Lattice	NLine (P)	Yes	see introduction
Lattice	NState (P)	Yes	see introduction
Lattice	Elas (P)	Yes	see introduction
Lattice	Choose (0)		see introduction
Lattice	minprob (P)	Yes	see introduction
Lattice	UnitProb (P)	Yes	see introduction
Lattice	InitCanvas (0)		see introduction

Option

Object	Label	Initialize	Comment
Option	Id (P)	Yes	Id marking the option. It must be an integer number different for each Option. See introduction
Option	num (P)		Parameter used to store the cumulated "raw" probability summing the number of agents assuming this Option. See introduction
Option	prob (P)		Parameter used to store the probabilities of being chosen by agents. See introduction
Option	glob (P)		Total number of agent currently assuming this state. See introduction

Row

Object	Label	Initialize	Comment
Row	Line (P)		Line number of the cells contained below the Object

Cell

Object	Label	Initialize	Comment
Cell	State (1)		State of the agent (i.e. one of the options' Id
Cell	Col (P)		Column of the cell