AI Enemy Follow de player with wayPoints

Hello everyone, I’m making a game like PAC MAN.
I already have a script that will be the basis of Intelligence of my enemies.

The script below is the player with some bugs, my enemy does not follow the player properly. It seems that he gets confused where to go.
I used waypoints to indicate the path where he must walk to reach the player.
Someone can correct and improve the script so that the enemy poses I go the way it should be?

The goal is that it pursues the player as Blinky the PAC MAN Game


using UnityEngine;
using System.Collections;
using System.Collections.Generic;

public abstract class AIEnemyBase : MonoBehaviour {

	public Transform player;

	protected List<GameObject> wayPointsList;

// Use this for initialization
	protected void Start () {
		player = GameObject.FindGameObjectWithTag("Player").transform;
		wayPointsList = new List<GameObject>();
		GameObject[]  wayPoints = GameObject.FindGameObjectsWithTag("wayPoints");
		foreach(GameObject newWayPoints in wayPoints){
//	 Update is called once per frame
	protected void Update (){

	// to follow the player
	abstract public void FollowPlayer();


using UnityEngine;
using System.Collections;

public class BlinkyEnemyControl : AIEnemyBase {

	// Use this for initialization
	void Start () {
	// Update is called once per frame
	void Update () {
	public override void FollowPlayer(){
		GameObject wayPoint = null;
		if(Physics.Linecast(transform.position, player.position)){
			// Chamar o metodo para detecção de wayPoints
			wayPoint = FindBetterWay();
			// Mover normalmente para destino
			wayPoint = GameObject.FindGameObjectWithTag("Player");
		Vector3 Dir = (wayPoint.transform.position - transform.position).normalized;
		transform.position += Dir*Time.deltaTime * speed;
		transform.rotation = Quaternion.LookRotation(Dir);
	GameObject FindBetterWay (){
		GameObject betterWay = null;
		float distanceToBetterWay = Mathf.Infinity;
		foreach(GameObject go in wayPointsList){
			float distToWayPoint = Vector3.Distance(transform.position, go.transform.position);
			float distWayPointToTarget = Vector3.Distance(go.transform.position, player.position);
			float distToTarget = Vector3.Distance(transform.position, player.position);
			bool wallBetween = Physics.Linecast(transform.position, go.transform.position);
			if((distToWayPoint < distanceToBetterWay) && (distToTarget > distToWayPoint) && (!wallBetween)){
				distanceToBetterWay = distToWayPoint;
				betterWay = go;
				bool wayPointToTargetCollision = Physics.Linecast(go.transform.position, player.position);
					betterWay = go;
		return betterWay;


Blinky probably needs to find what is the shortest path among the waypoints in order to reach the player.
This is a prototypical problem for which there are plenty of solutions, but the most common used algorithm is A*. A* search Algorithm

A* allows you to find the succession of waypoints that your ghost will have to follow. Once you have found the nearest waypoint to follow, your blinky would simply need to set that as its current goto location, once it gets there you can do again A* to the closest waypoint that the player is to, and proceed this way until you catch the player.